# Explore the Conflict and Resolution of Pollution NIMBY Facility Construction in the Context of New Media: An Evolutionary Game Theoretical Approach

Authors: Jie Yu; Changzheng Zhang; Dechun Huang; Yujia Shao; Hong Ren
Journal: Complexity
 (2021)

---

## Abstract

The rapid urbanization process has brought many pollution NIMBY facilities, and the associated pollution NIMBY conflicts have become one of the important factors restricting social stability. With the advent of the media era, new media has become the main channel for the public to recognize risks and master information, which greatly aggravates the social amplification effect of NIMBY conflict risk. In this case, it is of great significance to explore the interest relationship among the local government, the new media, and the local people and their roles in the NIMBY conflict. Based on the stakeholder theory, this paper constructs a three-party evolutionary game model of the local government, the new media, and the local people and carries out numerical simulation on the evolutionary model using MATLAB. The results show that the local government adopts a certain degree of regulatory strategy for the new media, the new media adopts the strategy of publicizing facts, and the local people adopts the strategy of nonresistance, which are the stable strategy points of the evolutionary game among the three stakeholders in the NIMBY conflict. The local government’s intervention in rumors to a certain extent is conducive to promoting the new media to publicize facts of the pollution NIMBY facilities and to restrain the local people’s choice of resistance strategies. The local government’s punishment to the new media spreading rumors should be kept above a certain level to restrain the new media spreading rumors. When the local people’s resistance reaches a certain level, the local government’s intervention will break down and the new media will become hyperactive. The results of this paper can provide some enlightenment for the stakeholders in pollution NIMBY conflicts and deepen the understanding of multiple interest conflicts and their resolution. Finally, this study proposes to build information sharing mechanism, information communication mechanism, trust mechanism, network governance mechanism, and public participation mechanism, so as to resolve the construction risk of pollution NIMBY facilities and improve the overall social welfare level.


---

## Body

## 1. Introduction

The acceleration of industrialization and urbanization, on the one hand, has brought the rapid development of social economy and, on the other hand, has also spawned a large demand for urban infrastructure. The stable development of a city is inseparable from public facilities and infrastructure, which can enhance the overall interests of the society, but its negative external effects are directly borne by the surrounding residents. Such facilities are the so-called “NIMBY facilities” [1, 2]. For worry, ignorant, irrational, and other reasons, the residents near NIMBY facilities think that their living environment, personal health, and safety will be damaged. They usually oppose and resist it, causing NIMBY conflicts [3–5]. Since the 1980s, it has entered the “NIMBY era,” showing a development trend from “not-in-my-backyard (NIMBY)” to “not-in-our-backyard (NIOBY)” to “not-in-anyone’s-backyard (NIABY),” arousing people’s extensive attention and promoting the growth and maturity of civil society [6–8]. According to different impact types, NIMBY facilities can be divided into pollution, stigma, psychological discomfort, and risk accumulation [9].In recent years, with the continuous improvement of the living conditions of urban residents, people have higher and higher requirements for the quality of living space. The people’s awareness of environmental rights is awakened, and more and more attention is paid to safeguarding group public environmental interests [10, 11]. In this situation, social conflicts and mass incidents caused by the construction of pollution NIMBY facilities increase significantly. The planning and construction of waste disposal facilities, sewage treatment plants, thermal power plants, and other pollution facilities have been repeatedly opposed by the surrounding public and even stopped because of the fierce protest [12–15]. However, the suspension of construction is not the best solution to the problem. Taking China’s urban solid waste treatment as an example, according to the statistics of the Ministry of Ecology and Environment of the People’s Republic of China in 2019, 196 large- and medium-sized cities produce 235.602 million tons of household waste. With the change of China’s urban population structure, municipal solid waste (MSW) will keep increasing in the future. Two-thirds of all the cities are surrounded by garbage, and great damages have been caused to the environment if the garbage is not dealt with properly [16–18]. The existing waste disposal facilities can no longer meet the requirements of modernization and urbanization, so a great deal of improvement or new construction is needed. According to incomplete statistics, up to 2019, 610 waste incineration power plants have been completed and put into operation in China. It is estimated that by 2035, the municipal solid waste incineration power plants will be basically completed in the administrative regions above the county level, and the stable operation will be realized. Under such circumstances, how to timely and effectively control and manage the conflicts that may be caused by the construction of such pollution NIMBY facilities will be an important issue for social governance.The reason why polluting NIMBY facilities may cause social conflicts is that, on the one hand, the construction of such facilities may cause different types of environmental problems in local areas, thus damaging public health and sustainable social development. On the other hand, environmental risks are amplified in the process of information dissemination and social response, that is, “social amplification of risks.” Among them, the social magnification of risk stems from the rapid formation of media-oriented society. According to the research of the Public Opinion Research Laboratory of Shanghai Jiao Tong University, rumors spread in nearly 20% of environmental mass incidents, and new media such as forum, Microblog, and WeChat were the main media for the first disclosure. By June 2020, the number of Chinese netizens is 940 million, with an Internet penetration rate of 67%. Among them, the number of mobile Internet users is 932 million, and the proportion of mobile Internet users is 99.2% [19]. The ubiquitous information communication media has become an important social background for the formation of social risks, and new media has also become the main channel for the public to recognize risks and acquire information. Some studies have recognized the impact of new media on social conflicts and believe that new media has broken the monopoly of mass media and changed the organization and communication mode of protests [20, 21]. Social media platforms such as Twitter, Facebook, and Sina Weibo (an emerging Twitter-like microblogging system launched in July 2010) have become the most effective channels to express public opinions. Users can mention or send messages to specific users, and they can also comment on messages. Through these retweets, comments, and other means, users can easily spread information on these social media platforms [22].Existing research studies mainly focus on the tool attribute of new media and explore the information diffusion mode and communication mechanism in the new media system [23, 24]. Few studies regard new media as a separate stakeholder to study its impact on NIMBY conflict. In the literature on stakeholders in NIMBY conflict, the main objects of concern are local governments, construction enterprises, and local people. This paper argues that pollution NIMBY facilities, as public facilities with the nature of pollution, are public products provided by local governments for social development. Construction enterprises carry out project construction under the instruction of local government, so they are not the main stakeholders in pollution NIMBY conflict. As a convenient and efficient voice channel, new media has broken through the limitations of the official media platform. On the one hand, in the brewing period and outbreak period of the incidents, rumors on WeChat, Sina Weibo, and other new media platforms are prevalent, resulting in many false information, which is easy to mislead the public. On the other hand, new media can act as a lubricant to balance the voices of the government and the public, so as to avoid the accumulation and concentrated outbreak of the negative emotions of the public. Therefore, this paper regards new media as the third stakeholder besides local government and local people and constructs a three-party evolutionary game model of local government, new media, and local people. By analyzing the influence of different evolutionary behaviors of local government, new media, and local people on the occurrence of pollution NIMBY conflicts, corresponding policy suggestions are put forward to provide a new perspective for risk mitigation of NIMBY pollution facilities under the environment of new media.The remainder of this study progresses is as follows. Section2 reviews a selection of the literature on NIMBY facilities, stakeholders, and new media. Section 3 constructs a three-party evolutionary game model of local government, new media, and local people. Section 4 discusses the evolutionary stability strategy point by analyzing the asymptotic stability of the equilibrium point. Section 5 conducts numerical simulation to illustrate the evolutionary stability strategy under different scenarios and the effects of parameter variations on those strategies. The results are further discussed in Section 6. The last part is the conclusion and policy implications.


## 2. Literature Review

### 2.1. NIMBY and NIMBY Facilities

At present, NIMBY has become a hot topic in the fields of politics, sociology, public management, and urban planning. Esaiasson [25] found in his research that people are very sensitive to nuisances, and the construction of NIMBY facilities will give some bad hints to people’s psychology and even arouse their emotional and psychological aversion, leading to their opposition to the construction of facilities in their own communities. Vittes et al. [26] criticized this as a kind of selfish ideology or pan politicized irrational behavior. In his opinion, the opponents paid too much attention to the value of their own property and recognized ordinary public facilities as NIMBY facilities with negative externalities. Sakai [27] believed that the NIMBY problem has something in common with the fair distribution problem. The core of the problem lies in the sharing of site selection and construction cost of NIMBY facilities, as well as the consideration of fair compensation for site selection.Attribution research studies on the formation of NIMBY conflict at home and abroad mainly focus on three aspects. The first is the attribution of the NIMBY facility itself, focusing on the risks brought by the completion of NIMBY facility and considering the impact distance of the NIMBY facility [28, 29]. Relevant studies show that the NIMBY complex is the result of many factors. In addition to distance, social and economic factors are also important reasons for residents to resist the construction of NIMBY facilities [30, 31]. Second, from the perspective of the public itself, it pays attention to the public’s perception of NIMBY facilities, including the assessment of the comprehensive impact brought by NIMBY facility construction [32] and the benefit compensation and benefits of NIMBY facility construction [33]. Dang et al. [34] believed that the media’s propaganda and reports shaped people’s cognition of the “Besieged City” problem of Beijing’s waste treatment facilities and produced certain cognitive errors. The last aspect is to study the impact of government decision-making on NIMBY conflict and pay attention to the absence of government functions [35–38]. The research on Beijing Asuwei incinerator shows that the government can seek common interests of all stakeholders through effective communication and positive action and alleviate the NIMBY conflict through equal dialogue and interest compensation [39]. Objectively speaking, there are complex relationships behind NIMBY conflicts, which cannot be explained by single rational or irrational factors.


### 2.2. Application of Evolutionary Game Model in NIMBY Conflicts

The generation and evolution of NIMBY conflict is the result of the superposition of subjective and objective factors and internal and external development dynamics. Only by deeply analyzing the role and role of key stakeholders in the process of conflict evolution, we can obtain a more objective and realistic understanding [40]. According to Freeman’s stakeholder theory, stakeholders refer to all the individuals and groups that can influence the realization of organizational goals, or are affected by the process of achieving their goals [41]. In the pollution NIMBY conflicts, the government, NIMBY enterprises (project developers), the public, nongovernmental organizations (such as environmental NGOs), media, experts, and other subjects are the key stakeholders and participants, and their interactive relationship is complex [42, 43].Game theory can not only consider the limited rational behavior of groups but also effectively study the relationship between stakeholders [44–47]. Therefore, it is an important means to study the NIMBY conflict [48]. Liu and Chen [49] used replication dynamic equation and Lotka–Volterra population evolution equation to construct a coevolutionary game model of pollution NIMBY conflict events and discussed the interest conflict between local government and local residents. Yan et al. [50] and Chen et al. [51] constructed evolutionary game models to discuss the stochastic evolution process of strategic choice behavior between construction enterprises and surrounding people. In addition, the evolutionary game model is also widely used in the game between local governments and the central government [52] and between local governments and polluting enterprises [53]. The above research studies are all about the game between two types of stakeholders. In recent years, the research of three-party evolutionary game model in the field of environmental management is also gradually rising [54]. Wang et al. [55] constructed a three-stage dynamic game model to discuss the serious social conflicts among multiple stakeholders such as problematic production plants, nearby residents, and local governments. Kang and Du [56] expanded the research boundary and built an evolutionary game model to explore the interest relationship between the government, NIMBY facility construction enterprises, and the surrounding resident.


### 2.3. The Role of New Media in NIMBY Conflict

Media is an important subject in risk information communication system, which plays an important role in the process of social conflict [57, 58]. The media is not only the core of understanding the risk of pollution NIMBY facilities, but also the core of explaining public risk [59, 60]. As human society enters the era of media, new media such as Facebook, Twitter, Sina Weibo, and WeChat have broken the monopoly of traditional media and accelerated the spread of social conflicts caused by pollution NIMBY facilities [21]. Compared with traditional media, new media is a new mode of communication that provides information and services [61], which has two obvious characteristics of digitalization and interaction [62]. With the advent of the new media era, ordinary netizens, anonymous experts, and scholars, nongovernmental organizations, environmental enthusiasts, and other different subjects, with the help of the Internet and mobile phones and other new media, produce environmental news content and lead the trend of environmental protection issues.Due to its low access threshold, the public can communicate risks through it [63]. However, because of the potential cognitive bias of the public, the moral standards for data acquisition and use through the media society still need to be strengthened [64]. Studies have shown that the risk awareness is positively correlated with the amount of information transmitted by the media [65], which will undoubtedly aggravate the conflict of pollution NIMBY facilities. According to Batel and Devine-Wright [66], the media, like developers, policymakers, and active protestors, has become an important part of NIMBY conflict. Kang et al. [67] further believed that the negative impact of the new media exaggerating or fabricating pollution NIMBY facilities will increase public resistance to a certain extent. In the new media era, the unknown risk of pollution NIMBY facilities is magnified infinitely, which leads to the relative deprivation of the people around NIMBY facilities. It further leads to the spread of people’s dissatisfaction with society and even causes NIMBY conflict.From the existing research, this paper finds that the uneven distribution of interests and risks is the logical basis of pollution NIMBY conflict. Therefore, it plays a key role in the governance of NIMBY conflict to clarify the interest relationship between the subjects of NIMBY conflict and realize the balance of interests of all parties. The evolutionary game model has been proved to be a promising tool for analyzing the interaction of stakeholders behind the construction of pollution NIMBY facilities. However, there are few studies on the strategic interactions between two or more stakeholders and the impact of these interactions on the outcome of NIMBY conflict. Moreover, most of the existing studies focus on the government or the public, while ignoring the impact of new media on the construction of pollution NIMBY facilities and the evolution of NIMBY conflict. New media is not only a necessary condition for citizen participation but also plays a role beyond communication. New media’s presentation of the risk of pollution NIMBY facilities and the continuous construction of environmental issues will affect the public’s risk awareness and attitude and affect the government’s decision-making process. Based on the above research, this paper constructs a three-party evolutionary game model of local government, new media, and local people to analyze the impact of different evolutionary behaviors of different stakeholders on NIMBY conflict. The contribution of this paper is mainly reflected in the following two aspects: first, it breaks through the media attribute of new media and broadens the scope of stakeholders in the research of pollution NIMBY facilities. Secondly, by systematically summarizing the behavior evolution and influence of stakeholders in pollution NIMBY conflict, it provides means to eliminate conflict for the construction of NIMBY facilities in the new media environment.


## 2.1. NIMBY and NIMBY Facilities

At present, NIMBY has become a hot topic in the fields of politics, sociology, public management, and urban planning. Esaiasson [25] found in his research that people are very sensitive to nuisances, and the construction of NIMBY facilities will give some bad hints to people’s psychology and even arouse their emotional and psychological aversion, leading to their opposition to the construction of facilities in their own communities. Vittes et al. [26] criticized this as a kind of selfish ideology or pan politicized irrational behavior. In his opinion, the opponents paid too much attention to the value of their own property and recognized ordinary public facilities as NIMBY facilities with negative externalities. Sakai [27] believed that the NIMBY problem has something in common with the fair distribution problem. The core of the problem lies in the sharing of site selection and construction cost of NIMBY facilities, as well as the consideration of fair compensation for site selection.Attribution research studies on the formation of NIMBY conflict at home and abroad mainly focus on three aspects. The first is the attribution of the NIMBY facility itself, focusing on the risks brought by the completion of NIMBY facility and considering the impact distance of the NIMBY facility [28, 29]. Relevant studies show that the NIMBY complex is the result of many factors. In addition to distance, social and economic factors are also important reasons for residents to resist the construction of NIMBY facilities [30, 31]. Second, from the perspective of the public itself, it pays attention to the public’s perception of NIMBY facilities, including the assessment of the comprehensive impact brought by NIMBY facility construction [32] and the benefit compensation and benefits of NIMBY facility construction [33]. Dang et al. [34] believed that the media’s propaganda and reports shaped people’s cognition of the “Besieged City” problem of Beijing’s waste treatment facilities and produced certain cognitive errors. The last aspect is to study the impact of government decision-making on NIMBY conflict and pay attention to the absence of government functions [35–38]. The research on Beijing Asuwei incinerator shows that the government can seek common interests of all stakeholders through effective communication and positive action and alleviate the NIMBY conflict through equal dialogue and interest compensation [39]. Objectively speaking, there are complex relationships behind NIMBY conflicts, which cannot be explained by single rational or irrational factors.


## 2.2. Application of Evolutionary Game Model in NIMBY Conflicts

The generation and evolution of NIMBY conflict is the result of the superposition of subjective and objective factors and internal and external development dynamics. Only by deeply analyzing the role and role of key stakeholders in the process of conflict evolution, we can obtain a more objective and realistic understanding [40]. According to Freeman’s stakeholder theory, stakeholders refer to all the individuals and groups that can influence the realization of organizational goals, or are affected by the process of achieving their goals [41]. In the pollution NIMBY conflicts, the government, NIMBY enterprises (project developers), the public, nongovernmental organizations (such as environmental NGOs), media, experts, and other subjects are the key stakeholders and participants, and their interactive relationship is complex [42, 43].Game theory can not only consider the limited rational behavior of groups but also effectively study the relationship between stakeholders [44–47]. Therefore, it is an important means to study the NIMBY conflict [48]. Liu and Chen [49] used replication dynamic equation and Lotka–Volterra population evolution equation to construct a coevolutionary game model of pollution NIMBY conflict events and discussed the interest conflict between local government and local residents. Yan et al. [50] and Chen et al. [51] constructed evolutionary game models to discuss the stochastic evolution process of strategic choice behavior between construction enterprises and surrounding people. In addition, the evolutionary game model is also widely used in the game between local governments and the central government [52] and between local governments and polluting enterprises [53]. The above research studies are all about the game between two types of stakeholders. In recent years, the research of three-party evolutionary game model in the field of environmental management is also gradually rising [54]. Wang et al. [55] constructed a three-stage dynamic game model to discuss the serious social conflicts among multiple stakeholders such as problematic production plants, nearby residents, and local governments. Kang and Du [56] expanded the research boundary and built an evolutionary game model to explore the interest relationship between the government, NIMBY facility construction enterprises, and the surrounding resident.


## 2.3. The Role of New Media in NIMBY Conflict

Media is an important subject in risk information communication system, which plays an important role in the process of social conflict [57, 58]. The media is not only the core of understanding the risk of pollution NIMBY facilities, but also the core of explaining public risk [59, 60]. As human society enters the era of media, new media such as Facebook, Twitter, Sina Weibo, and WeChat have broken the monopoly of traditional media and accelerated the spread of social conflicts caused by pollution NIMBY facilities [21]. Compared with traditional media, new media is a new mode of communication that provides information and services [61], which has two obvious characteristics of digitalization and interaction [62]. With the advent of the new media era, ordinary netizens, anonymous experts, and scholars, nongovernmental organizations, environmental enthusiasts, and other different subjects, with the help of the Internet and mobile phones and other new media, produce environmental news content and lead the trend of environmental protection issues.Due to its low access threshold, the public can communicate risks through it [63]. However, because of the potential cognitive bias of the public, the moral standards for data acquisition and use through the media society still need to be strengthened [64]. Studies have shown that the risk awareness is positively correlated with the amount of information transmitted by the media [65], which will undoubtedly aggravate the conflict of pollution NIMBY facilities. According to Batel and Devine-Wright [66], the media, like developers, policymakers, and active protestors, has become an important part of NIMBY conflict. Kang et al. [67] further believed that the negative impact of the new media exaggerating or fabricating pollution NIMBY facilities will increase public resistance to a certain extent. In the new media era, the unknown risk of pollution NIMBY facilities is magnified infinitely, which leads to the relative deprivation of the people around NIMBY facilities. It further leads to the spread of people’s dissatisfaction with society and even causes NIMBY conflict.From the existing research, this paper finds that the uneven distribution of interests and risks is the logical basis of pollution NIMBY conflict. Therefore, it plays a key role in the governance of NIMBY conflict to clarify the interest relationship between the subjects of NIMBY conflict and realize the balance of interests of all parties. The evolutionary game model has been proved to be a promising tool for analyzing the interaction of stakeholders behind the construction of pollution NIMBY facilities. However, there are few studies on the strategic interactions between two or more stakeholders and the impact of these interactions on the outcome of NIMBY conflict. Moreover, most of the existing studies focus on the government or the public, while ignoring the impact of new media on the construction of pollution NIMBY facilities and the evolution of NIMBY conflict. New media is not only a necessary condition for citizen participation but also plays a role beyond communication. New media’s presentation of the risk of pollution NIMBY facilities and the continuous construction of environmental issues will affect the public’s risk awareness and attitude and affect the government’s decision-making process. Based on the above research, this paper constructs a three-party evolutionary game model of local government, new media, and local people to analyze the impact of different evolutionary behaviors of different stakeholders on NIMBY conflict. The contribution of this paper is mainly reflected in the following two aspects: first, it breaks through the media attribute of new media and broadens the scope of stakeholders in the research of pollution NIMBY facilities. Secondly, by systematically summarizing the behavior evolution and influence of stakeholders in pollution NIMBY conflict, it provides means to eliminate conflict for the construction of NIMBY facilities in the new media environment.


## 3. Evolutionary Game Model

In the risk society, the public demand for information is particularly prominent. However, compared with the government and the media, the public is in a weak position in terms of information access. Their action is usually after the policy decision of the government, which is more passive. New media has reversed this situation, and the emergence of Sina Weibo and WeChat has opened unprecedented broad space for the expression of public opinions. In the process of NIMBY conflict, the public whose rights and interests have been damaged will usually release appealing microblogs and “@” a large number of official media microblogs and media personalities, hoping to gain more attention to the event through the influence of them. From the result of the incident, such as Xiamen paraxylene plant and Panyu trash incinerator, the government’s concession and compromise to the strong “public opinion pressure” will lead to the settlement of the NIMBY conflict. However, in the new media, the initiative of the government has not been completely lost. The government can control the people’s right to know through strict media censorship strategy and prevent the expansion of the situation. Whether it is the information collection stage of pollution NIMBY facility construction, or the different follow-up stages in the project construction process, even the grasp of the authenticity and exaggeration of the report content, the new media has an important voice and communication strength, which plays a supervisory role to the government to a certain extent.


### 3.1. Stakeholders

In the game system of pollution NIMBY conflict, local government is the core node of the three parties. The strategy set of local government is {intervene, not intervene}. Due to the basic understanding that pollution NIMBY facilities have their own social and economic benefits, when the government chooses intervention strategies, there will be no loss if media reporting and publicizing the truth. On the other hand, the media will be punished by the government for spreading rumors and exaggerating environmental pollution to attract attention. When the government adopts the not intervene strategy, it acquiesces that the relevant interests of the government have nothing to do with the different propaganda strategies of the media.As the external interveners of pollution NIMBY facilities, the local people’s strategic choice affects the local government’s behavior choice to a certain extent. The strategy set of local people is {resist, not resist}. If the local people choose the not resist strategy according to the media reports, the government will choose to continue the construction. If the local people choose the resist strategy according to the media reports, the government will face the dual choice of continuing construction project or stopping construction project. When the cost of appeasing the local people to resist is lower than the social and economic benefits brought by the project, the project will be continued. Otherwise, the government will stop the construction of pollution NIMBY facilities. Once the project is suspended, the three-party game will come to an end. This is not the scope of our research, and we only analyze the situation of project continuation.The reason why some new media spread rumors is to gain attention and improve social influence through public opinion in the early and middle stages of the development of the incident. Therefore, the relevant new media do not hesitate to expand the media popularity through exaggeration and speculation. The intensity of rumor spreading by media also directly affects the resistance probability and scale of local people. The strategy set of new media is {publicize facts, spread rumors}.The relevant hypotheses and parameters are stipulated as follows:G1 is the sum of economic and social benefits brought by pollution NIMBY facilities to the government. G2 means the intervention cost paid by the government to control the spread of rumors and clarify the facts. G3 refers to the total cost of appeasement measures taken by the government due to residents’ resistance in the case of media intervention. G4 refers to the total cost of appeasement subsidies for residents’ resistance when the government does not intervene in the media. G5 is the construction cost of pollution NIMBY facilities paid by the government. In the above parameters, G1>G2, G3<G4, G1>G5. M1 represents the amount of government punishment imposed on new media for spreading rumors to attract attention under the premise of government intervention. M2 represents the high traffic attention (increase of brand reputation and audience rating) that new media gets in the first and middle term through spreading rumors. In general, M1>M2. M3 is the information collection cost of new media in the construction of pollution NIMBY facilities. M4 is the general attention (public attention and audience rating) when the media reported and publicized the facts. Among them, M2>M4>M3. N1 is the total risk loss to local residents after the construction of pollution NIMBY facilities. N2 is the total cost of resistance borne by residents when the media spread rumors. N3 is the total cost of resistance borne by residents when the media publicize the truth. N4 is the total income expected to bring to local residents after the completion of pollution NIMBY facilities. Among them, N1<N4, N2>N3. b is the strength of the government’s control over rumors, which will affect the government’s intervention costs. c is the degree of the government’s punishment for spreading rumors to new media, which will affect the amount of punishment for new media. e is the strength of the residents’ resistance, which will affect the total cost of the residents’ resistance. Relevant parameters are described in Table 1.Table 1
Parameters and descriptions.
ParametersDescriptionsG1The sum of economic and social benefits brought by pollution NIMBY facilities to the governmentG2The government intervenes, the new media spreads rumors, and the government controls the spread of rumors, clarifies the facts, and pays the intervention costG3The total cost of appeasement measures taken by the government due to residents’ resistance in the case of media interventionG4The total cost of appeasement due to residents’ resistance when the government does not intervene in the mediaG5Construction cost of pollution NIMBY facilities paid by the governmentM1Under the premise of government intervention, new media attracts people’s attention and spreads rumors, which are punished by the governmentM2High traffic attention (increase of brand reputation and audience rating) in the first and middle period after rumors spread by new mediaM3The information collection cost of new media in the construction of pollution NIMBY facilitiesM4General attention (public attention and audience rating) obtained after the media publicized factsN1The total amount of risk loss to local residents after the completion of pollution NIMBY facilitiesN2The total cost of resistance borne by residents in the case of rumors spread by the mediaN3The total cost of resistance borne by residents due to resistance when the media publicize factsN4The total income of local residents after the completion of pollution NIMBY facilitiesbThe strength of the government’s control over rumorscThe intensity of the government’s punishment of the new media for spreading rumorseThe strength of resistance of the inhabitants


### 3.2. Payoff Matrix

Based on the above hypothesis, this paper constructs a three-party evolutionary game model of the local government, new media, and the public.X, Y, and Z, respectively, represent the strategies adopted by the local government, new media, and the local people, using 0-1 variables. X = 0 means the government adopts intervene strategy, and X = 1 indicates that the government adopts the nonintervene strategy. Y = 0 means the media spreads rumors, and Y = 1 indicates the media propagates the truth. Z = 0 means the public adopt resist strategy, and Z = 1 indicates the public adopt nonresist strategy. According to the strategy sets of different players, eight different strategy combinations can be obtained, as shown in Figure 1.Figure 1
Schematic diagram of three-dimensional representation of strategy selection of game players.According to the assumptions in Section3.1, the benefits of the three parties under different strategy choices can be calculated. The calculated results are shown in Table 2, and the payment matrix of stakeholders is shown in Table 3.Table 2
Revenue function under corresponding strategies.
A (0, 0, 0)G1−bG2−G3−G5,−cM1+M2−M3,G3−N1−eN2+N4B (1, 0, 0)G1−G4−G5,M2−M3,G4−N1−eN2+N4C (1, 1, 0)G1−G4−G5,−M3+M4,G4−N1−N3+N4D (0, 1, 0)G1−G3−G5,−M3+M4,G3−N1−N3+N4E (0, 0, 1)G1−bG2−G5,−cM1+M2−M3,−N1+N4F (1, 0, 1)G1−G5,M2−M3,−N1+N4G (1, 1, 1)G1−G5,−M3+M4,−N1+N4H (0, 1, 1)G1−G5,−M3+M4,−N1+N4Table 3
Payment matrix of local government, new media, and local people.
Local peopleResistNot resistNew mediaPublicize factsSpread rumorsPublicize factsSpread rumorsLocal governmentInterveneADEHNot interveneBCFG


### 3.3. Stakeholder Replication Dynamic Equation

Assuming that the probability of the local government, new media, and the local people to adopt the strategy of not intervene, publicize facts, and not resist isx, y, z, then the probability of choosing intervene, spread rumors, and resist strategy is 1−x, 1−y, and 1−z, respectively.LetExg represents the average expected payoff of the local government. Exg1 represents the expected payoff of the local government if it chooses not to intervene, and Exg0 represents the expected payoff of the local government if it chooses to intervene. Exg, Exg1, and Exg0 can be expressed as(1)Exg1=G1−G5−1−zG4,Exg0=G1−G5−1−ybG2−1−zG3,Exg=xExg1+1−xExg0=G1−G5−1−x1−ybG2+1−zG3−x1−zG4.LetExm represents the average expected payoff of the new media. Exm1 represents the expected payoff of the new media if they publicize facts, and Exm0 represents the expected payoff of the new media if they spread rumors. Exm, Exm1, and Exm0 can be written as(2)Exm1=−M3+M4,Exm0=−1−xcM1+M2−M3,Exm=yExm1+1−yExm0=yM4−M3+1−yM2−1−xcM1.LetExj represent the average expected payoff of the local people. Exj1 represents the expected payoff of the local people if they choose not to resist, and Exj0 represents the expected payoff of the local people if they choose to resist. Exj, Exj1, and Exj0 can be expressed as(3)Exj1=−N1+N4,Exj0=1−xG3+xG4−N1−1−yeN2−yN3+N4,Exj=zExj1+1−zExj0=1−z1−xG3+xG4−1−yeN2−yN3+N4−N1.Although there is information asymmetry among the local government, new media, and the local people, with the passage of time, the three players of the game constantly adjust their strategies through learning and imitation and will make the best strategic decisions. When the local government, new media, and the local people adjust their own strategies dynamically, they show the dynamic process of replication described by evolutionary game theory. The essence of replication dynamics is the dynamic differential equation of the adoption frequency of a particular strategy combination in a series of strategy combinations [68]. Assuming that the return of a certain strategy adopted by a certain game player is greater than the average return, the strategy can be developed. According to the payoff matrixes under the corresponding strategies in Table 3, the dynamic replication equation of the government, new media, and local people can be obtained.The replicator dynamics equation of the local government can be written as(4)Fx=dxdt=xExg1−Exg=x1−xExg1−Exg0=x1−x1−ybG2−1−zG4−G3.The replicator dynamics equation of the new media can be written as(5)Fy=dydt=yExm1−Exm=y1−yExm1−Exm0=y1−y1−xcM1+M4−M2.The replicator dynamics equation of the local people can be written as(6)Fz=dzdt=zExj1−Exj=z1−zExj1−Exj0=z1−z1−yeN2+yN3−1−xG3+xG4.The replication dynamic equations of local government, new media, and local people constitute a three-dimensional dynamic system I:(7)Fx=dxdt=x1−x1−ybG2−1−zG4−G3,Fy=dydt=y1−y1−xcM1+M4−M2,Fz=dzdt=z1−z1−yeN2+yN3−1−xG3+xG4.The derivative of the replicator dynamics equation of local government, new media, and local people can be calculated as follows:(8)F′x=dFxdx==1−2x1−ybG2−1−zG4−G3,F′y=dFydy==1−2y1−xcM1+M4−M2,F′z=dFzdz==1−2z1−yeN2+yN3−1−xG3+xG4.


## 3.1. Stakeholders

In the game system of pollution NIMBY conflict, local government is the core node of the three parties. The strategy set of local government is {intervene, not intervene}. Due to the basic understanding that pollution NIMBY facilities have their own social and economic benefits, when the government chooses intervention strategies, there will be no loss if media reporting and publicizing the truth. On the other hand, the media will be punished by the government for spreading rumors and exaggerating environmental pollution to attract attention. When the government adopts the not intervene strategy, it acquiesces that the relevant interests of the government have nothing to do with the different propaganda strategies of the media.As the external interveners of pollution NIMBY facilities, the local people’s strategic choice affects the local government’s behavior choice to a certain extent. The strategy set of local people is {resist, not resist}. If the local people choose the not resist strategy according to the media reports, the government will choose to continue the construction. If the local people choose the resist strategy according to the media reports, the government will face the dual choice of continuing construction project or stopping construction project. When the cost of appeasing the local people to resist is lower than the social and economic benefits brought by the project, the project will be continued. Otherwise, the government will stop the construction of pollution NIMBY facilities. Once the project is suspended, the three-party game will come to an end. This is not the scope of our research, and we only analyze the situation of project continuation.The reason why some new media spread rumors is to gain attention and improve social influence through public opinion in the early and middle stages of the development of the incident. Therefore, the relevant new media do not hesitate to expand the media popularity through exaggeration and speculation. The intensity of rumor spreading by media also directly affects the resistance probability and scale of local people. The strategy set of new media is {publicize facts, spread rumors}.The relevant hypotheses and parameters are stipulated as follows:G1 is the sum of economic and social benefits brought by pollution NIMBY facilities to the government. G2 means the intervention cost paid by the government to control the spread of rumors and clarify the facts. G3 refers to the total cost of appeasement measures taken by the government due to residents’ resistance in the case of media intervention. G4 refers to the total cost of appeasement subsidies for residents’ resistance when the government does not intervene in the media. G5 is the construction cost of pollution NIMBY facilities paid by the government. In the above parameters, G1>G2, G3<G4, G1>G5. M1 represents the amount of government punishment imposed on new media for spreading rumors to attract attention under the premise of government intervention. M2 represents the high traffic attention (increase of brand reputation and audience rating) that new media gets in the first and middle term through spreading rumors. In general, M1>M2. M3 is the information collection cost of new media in the construction of pollution NIMBY facilities. M4 is the general attention (public attention and audience rating) when the media reported and publicized the facts. Among them, M2>M4>M3. N1 is the total risk loss to local residents after the construction of pollution NIMBY facilities. N2 is the total cost of resistance borne by residents when the media spread rumors. N3 is the total cost of resistance borne by residents when the media publicize the truth. N4 is the total income expected to bring to local residents after the completion of pollution NIMBY facilities. Among them, N1<N4, N2>N3. b is the strength of the government’s control over rumors, which will affect the government’s intervention costs. c is the degree of the government’s punishment for spreading rumors to new media, which will affect the amount of punishment for new media. e is the strength of the residents’ resistance, which will affect the total cost of the residents’ resistance. Relevant parameters are described in Table 1.Table 1
Parameters and descriptions.
ParametersDescriptionsG1The sum of economic and social benefits brought by pollution NIMBY facilities to the governmentG2The government intervenes, the new media spreads rumors, and the government controls the spread of rumors, clarifies the facts, and pays the intervention costG3The total cost of appeasement measures taken by the government due to residents’ resistance in the case of media interventionG4The total cost of appeasement due to residents’ resistance when the government does not intervene in the mediaG5Construction cost of pollution NIMBY facilities paid by the governmentM1Under the premise of government intervention, new media attracts people’s attention and spreads rumors, which are punished by the governmentM2High traffic attention (increase of brand reputation and audience rating) in the first and middle period after rumors spread by new mediaM3The information collection cost of new media in the construction of pollution NIMBY facilitiesM4General attention (public attention and audience rating) obtained after the media publicized factsN1The total amount of risk loss to local residents after the completion of pollution NIMBY facilitiesN2The total cost of resistance borne by residents in the case of rumors spread by the mediaN3The total cost of resistance borne by residents due to resistance when the media publicize factsN4The total income of local residents after the completion of pollution NIMBY facilitiesbThe strength of the government’s control over rumorscThe intensity of the government’s punishment of the new media for spreading rumorseThe strength of resistance of the inhabitants


## 3.2. Payoff Matrix

Based on the above hypothesis, this paper constructs a three-party evolutionary game model of the local government, new media, and the public.X, Y, and Z, respectively, represent the strategies adopted by the local government, new media, and the local people, using 0-1 variables. X = 0 means the government adopts intervene strategy, and X = 1 indicates that the government adopts the nonintervene strategy. Y = 0 means the media spreads rumors, and Y = 1 indicates the media propagates the truth. Z = 0 means the public adopt resist strategy, and Z = 1 indicates the public adopt nonresist strategy. According to the strategy sets of different players, eight different strategy combinations can be obtained, as shown in Figure 1.Figure 1
Schematic diagram of three-dimensional representation of strategy selection of game players.According to the assumptions in Section3.1, the benefits of the three parties under different strategy choices can be calculated. The calculated results are shown in Table 2, and the payment matrix of stakeholders is shown in Table 3.Table 2
Revenue function under corresponding strategies.
A (0, 0, 0)G1−bG2−G3−G5,−cM1+M2−M3,G3−N1−eN2+N4B (1, 0, 0)G1−G4−G5,M2−M3,G4−N1−eN2+N4C (1, 1, 0)G1−G4−G5,−M3+M4,G4−N1−N3+N4D (0, 1, 0)G1−G3−G5,−M3+M4,G3−N1−N3+N4E (0, 0, 1)G1−bG2−G5,−cM1+M2−M3,−N1+N4F (1, 0, 1)G1−G5,M2−M3,−N1+N4G (1, 1, 1)G1−G5,−M3+M4,−N1+N4H (0, 1, 1)G1−G5,−M3+M4,−N1+N4Table 3
Payment matrix of local government, new media, and local people.
Local peopleResistNot resistNew mediaPublicize factsSpread rumorsPublicize factsSpread rumorsLocal governmentInterveneADEHNot interveneBCFG


## 3.3. Stakeholder Replication Dynamic Equation

Assuming that the probability of the local government, new media, and the local people to adopt the strategy of not intervene, publicize facts, and not resist isx, y, z, then the probability of choosing intervene, spread rumors, and resist strategy is 1−x, 1−y, and 1−z, respectively.LetExg represents the average expected payoff of the local government. Exg1 represents the expected payoff of the local government if it chooses not to intervene, and Exg0 represents the expected payoff of the local government if it chooses to intervene. Exg, Exg1, and Exg0 can be expressed as(1)Exg1=G1−G5−1−zG4,Exg0=G1−G5−1−ybG2−1−zG3,Exg=xExg1+1−xExg0=G1−G5−1−x1−ybG2+1−zG3−x1−zG4.LetExm represents the average expected payoff of the new media. Exm1 represents the expected payoff of the new media if they publicize facts, and Exm0 represents the expected payoff of the new media if they spread rumors. Exm, Exm1, and Exm0 can be written as(2)Exm1=−M3+M4,Exm0=−1−xcM1+M2−M3,Exm=yExm1+1−yExm0=yM4−M3+1−yM2−1−xcM1.LetExj represent the average expected payoff of the local people. Exj1 represents the expected payoff of the local people if they choose not to resist, and Exj0 represents the expected payoff of the local people if they choose to resist. Exj, Exj1, and Exj0 can be expressed as(3)Exj1=−N1+N4,Exj0=1−xG3+xG4−N1−1−yeN2−yN3+N4,Exj=zExj1+1−zExj0=1−z1−xG3+xG4−1−yeN2−yN3+N4−N1.Although there is information asymmetry among the local government, new media, and the local people, with the passage of time, the three players of the game constantly adjust their strategies through learning and imitation and will make the best strategic decisions. When the local government, new media, and the local people adjust their own strategies dynamically, they show the dynamic process of replication described by evolutionary game theory. The essence of replication dynamics is the dynamic differential equation of the adoption frequency of a particular strategy combination in a series of strategy combinations [68]. Assuming that the return of a certain strategy adopted by a certain game player is greater than the average return, the strategy can be developed. According to the payoff matrixes under the corresponding strategies in Table 3, the dynamic replication equation of the government, new media, and local people can be obtained.The replicator dynamics equation of the local government can be written as(4)Fx=dxdt=xExg1−Exg=x1−xExg1−Exg0=x1−x1−ybG2−1−zG4−G3.The replicator dynamics equation of the new media can be written as(5)Fy=dydt=yExm1−Exm=y1−yExm1−Exm0=y1−y1−xcM1+M4−M2.The replicator dynamics equation of the local people can be written as(6)Fz=dzdt=zExj1−Exj=z1−zExj1−Exj0=z1−z1−yeN2+yN3−1−xG3+xG4.The replication dynamic equations of local government, new media, and local people constitute a three-dimensional dynamic system I:(7)Fx=dxdt=x1−x1−ybG2−1−zG4−G3,Fy=dydt=y1−y1−xcM1+M4−M2,Fz=dzdt=z1−z1−yeN2+yN3−1−xG3+xG4.The derivative of the replicator dynamics equation of local government, new media, and local people can be calculated as follows:(8)F′x=dFxdx==1−2x1−ybG2−1−zG4−G3,F′y=dFydy==1−2y1−xcM1+M4−M2,F′z=dFzdz==1−2z1−yeN2+yN3−1−xG3+xG4.


## 4. Equilibrium Point and Stability Analysis

In the process of three-party game among local government, new media, and local people, the replication dynamic equation presents a dynamic process in which three bounded rational parties learn and finally adopt strategies. When the three parties reach a stable state, it shows that the three parties have found an effective Nash equilibrium through trial and error. In order to find the equilibrium point of evolutionary game among government, new media, and local people in pollution NIMBY facilities, the dynamic evolution trend and stability of these three players are analyzed, respectively.


### 4.1. Analysis on Equilibrium Point

#### 4.1.1. Local Government

LetFx=0, then x=0, x=1 or 1−ybG2−1−zG4−G3=0, obtaining b=1−zG4−G3/1−yG2. According to the stability theorem of replication dynamic equation and the principle of evolutionary stability strategy, when Fx=0, F′x<0, x is the evolutionary stability strategy point, which is discussed in the following three cases :(1)
1−ybG2−1−zG4−G3=0. Then, Fx=0, F′x=0. In this case, when the local government’s clarification of rumors spread by new media reaches b=1−zG4−G3/1−yG2, the local government chooses to intervene or not to intervene is all its optimal strategy choice.(2)
1−ybG2−1−zG4−G3>0. When x=0, Fx=0, F′x>0, and it is not an evolutionary stable strategy point. When x=1, Fx=0, F′x<0, and it is an evolutionary stable strategy point. In this case, when the local government’s efforts to clarify rumors spread by new media reach b=1−zG4−G3/1−yG2 and show a gradual increase trend, the local government chooses not to intervene is the best choice.(3)
1−ybG2−1−zG4−G3<0. When x=0, Fx=0, F′x<0, and it is an evolutionary stable strategy point. When x=1, Fx=0, F′x<0, and it is not an evolutionary stable strategy point. In this case, when the local government’s efforts to clarify rumors spread by new media reach b=1−zG4−G3/1−yG2 and show a gradual weakened trend, the local government chooses to intervene is the best choice. The dynamic phase diagram of stability evolution replication for the local government’s strategy selection is shown in Figure 2.Figure 2
Dynamic phase diagram of local government strategy selection stability evolution and replication.
(a)(b)(c)


#### 4.1.2. New Media

LetFy=0, then y=0, y=1, or x=1−M2−M4/cM1, obtaining c=M2−M4/1−xM1. According to the stability theorem of replication dynamic equation and the principle of evolutionary stability strategy, when Fy=0, F′y<0, y is the evolutionary stability strategy point, which is discussed in the following three cases :(1)
x=1−M2−M4/cM1. Then, Fy=0, F′y=0. In this case, when the government penalizes the new media for spreading rumors to a degree of c=M2−M4/1−xM1, it is the best strategy choice for the new media to adopt both the rumor spreading strategy and the fact propagating strategy.(2)
x>1−M2−M4/cM1. When y=0, Fy=0, F′y<0, and it is an evolutionary stable strategy point. When y=1, Fy=0, F′y>0, and it is not an evolutionary stable strategy point. In this case, when the government penalizes new media for spreading rumors to a degree of c=M2−M4/1−xM1 and the trend is gradually weakening, it is the best strategy choice for new media to spread rumors.(3)
x<1−M2−M4/cM1. When y=0, Fy=0, F′y>0, and it is not an evolutionary stable strategy point. When y=1, Fy=0, F′y<0, and it is an evolutionary stable strategy point. In this case, when the government penalizes new media for spreading rumors to a degree of c=M2−M4/1−xM1 and the trend is gradually increasing, it is the best strategy choice for new media to report truth. The dynamic phase diagram of new media’s strategy selection stability evolution replication is shown in Figure 3.Figure 3
Dynamic phase diagram of new media strategy selection stability evolution and replication.
(a)(b)(c)


#### 4.1.3. Local People

LetFz=0, then z=0, z=1 or 1−yeN2+yN3−1−xG3+xG4=0, obtaining e=1−xG3+xG4−yN3/1−yN2. According to the stability theorem of replication dynamic equation and the principle of evolutionary stability strategy, when Fz=0, F′z<0, z is the evolutionary stability strategy point, which is discussed in the following three cases :(1)
1−yeN2+yN3−1−xG3+xG4=0. Then, Fz=0, F′z=0. In this case, when the resistance of local people to the pollution NIMBY facilities spread by new media reaches e=1−xG3+xG4−yN3/1−yN2, both resisting and not resisting of local residents are the best strategy choices.(2)
1−yeN2+yN3−1−xG3+xG4>0. When z=0, Fz=0, F′z>0, and it is not an evolutionary stable strategy point. When z=1, Fz=0, F′z<0, and it is an evolutionary stable strategy point. In this case, when local people’s resistance to pollution NIMBY facilities spread by new media reaches e=1−xG3+xG4−yN3/1−yN2 and shows a trend of gradual reduction, local people decide not to resist is the best strategy choice.(3)
1−yeN2+yN3−1−xG3+xG4<0. When z=0, Fz=0, F′z<0, and it is an evolutionary stable strategy point. When z=1, Fz=0, F′z>0, and it is not an evolutionary stable strategy point. In this case, when local people’s resistance to pollution NIMBY facilities spread by new media reaches e=1−xG3+xG4−yN3/1−yN2 and shows a trend of gradual increasing, local people decide to resist is the best strategy choice. The dynamic phase diagram of stability evolution replication of local people’s strategy selection is shown in Figure 4.Figure 4
Dynamic phase diagram of local people strategy selection stability evolution and replication.
(a)(b)(c)


#### 4.1.4. Stability Analysis of Equilibrium Point

Based on the above analysis, it can be concluded that the three-party game evolution of pollution NIMBY facilities consists of the following three planes:(9)1−ybG2−1−zG4−G3=0,0<y<1,0<z<1,x=1−M2−M4cM1,0<x<1,1−yeN2+yN3−1−xG3+xG4=0,0<x<1,0<y<1.Three planes intersect to form a three-dimensional graph surface, which represents the critical interface evolved by different participants under different conditions. According to the surface of the three-dimensional graph, it shows that on the inner side of the critical interface, the participants of the three-party game converge to the pointB (1, 0, 0). The results show that the local government, new media, and the local people should adopt the strategy of nonintervention, spreading rumors, and resistance. On the outside of the critical surface, the three-party game subject converges to point H (0, 1, 1); that is, the local government, new media, and the local people take the strategy of intervention, publicizing the truth and nonresistance. The three-dimensional representation of the dynamic trend of the stability evolution of the three-party game players is shown in Figure 5.Figure 5
Dynamic phase diagram of stability evolution replication of local government, new media, and local people.Due to the particularity of pollution NIMBY facilities, the local government’s intervention in the media is conducive to controlling the unstable factors in the construction process of the project, increasing the probability of new media publicizing the truth, and indirectly reducing the resistance probability of local people. Therefore, the evolutionary stability strategy point of the three game players isH (0, 1, 1).The game evolution is a complex and long process. In order to accelerate the convergence of the game subject to the point H of evolutionary stability strategy (intervene, publicize facts,not resist), the three players of the game should meet the following three conditions at the same time:(10)1−ybG2−1−zG4−G3<0,0<x<1−M2−M4cM1<1,0<1−yeN2+yN3−1−xG3+xG4<1.That is, the local government’s subsidies to local people’s resistance reach a certain extent and are within the acceptable scope of the local government; the punishment of new media for spreading rumors is greater than the high traffic effect brought by rumors; when the overall benefits of government construction of pollution NIMBY facilities for residents are greater than the risk cost of resistance, the three game players will choose to intervene, publicize facts, and not resist at the same time. In order to directly reflect the stable evolution process of the three-party strategy selection in the game, the numerical simulation was carried out by Spyder (Python 3.7).


## 4.1. Analysis on Equilibrium Point

### 4.1.1. Local Government

LetFx=0, then x=0, x=1 or 1−ybG2−1−zG4−G3=0, obtaining b=1−zG4−G3/1−yG2. According to the stability theorem of replication dynamic equation and the principle of evolutionary stability strategy, when Fx=0, F′x<0, x is the evolutionary stability strategy point, which is discussed in the following three cases :(1)
1−ybG2−1−zG4−G3=0. Then, Fx=0, F′x=0. In this case, when the local government’s clarification of rumors spread by new media reaches b=1−zG4−G3/1−yG2, the local government chooses to intervene or not to intervene is all its optimal strategy choice.(2)
1−ybG2−1−zG4−G3>0. When x=0, Fx=0, F′x>0, and it is not an evolutionary stable strategy point. When x=1, Fx=0, F′x<0, and it is an evolutionary stable strategy point. In this case, when the local government’s efforts to clarify rumors spread by new media reach b=1−zG4−G3/1−yG2 and show a gradual increase trend, the local government chooses not to intervene is the best choice.(3)
1−ybG2−1−zG4−G3<0. When x=0, Fx=0, F′x<0, and it is an evolutionary stable strategy point. When x=1, Fx=0, F′x<0, and it is not an evolutionary stable strategy point. In this case, when the local government’s efforts to clarify rumors spread by new media reach b=1−zG4−G3/1−yG2 and show a gradual weakened trend, the local government chooses to intervene is the best choice. The dynamic phase diagram of stability evolution replication for the local government’s strategy selection is shown in Figure 2.Figure 2
Dynamic phase diagram of local government strategy selection stability evolution and replication.
(a)(b)(c)


### 4.1.2. New Media

LetFy=0, then y=0, y=1, or x=1−M2−M4/cM1, obtaining c=M2−M4/1−xM1. According to the stability theorem of replication dynamic equation and the principle of evolutionary stability strategy, when Fy=0, F′y<0, y is the evolutionary stability strategy point, which is discussed in the following three cases :(1)
x=1−M2−M4/cM1. Then, Fy=0, F′y=0. In this case, when the government penalizes the new media for spreading rumors to a degree of c=M2−M4/1−xM1, it is the best strategy choice for the new media to adopt both the rumor spreading strategy and the fact propagating strategy.(2)
x>1−M2−M4/cM1. When y=0, Fy=0, F′y<0, and it is an evolutionary stable strategy point. When y=1, Fy=0, F′y>0, and it is not an evolutionary stable strategy point. In this case, when the government penalizes new media for spreading rumors to a degree of c=M2−M4/1−xM1 and the trend is gradually weakening, it is the best strategy choice for new media to spread rumors.(3)
x<1−M2−M4/cM1. When y=0, Fy=0, F′y>0, and it is not an evolutionary stable strategy point. When y=1, Fy=0, F′y<0, and it is an evolutionary stable strategy point. In this case, when the government penalizes new media for spreading rumors to a degree of c=M2−M4/1−xM1 and the trend is gradually increasing, it is the best strategy choice for new media to report truth. The dynamic phase diagram of new media’s strategy selection stability evolution replication is shown in Figure 3.Figure 3
Dynamic phase diagram of new media strategy selection stability evolution and replication.
(a)(b)(c)


### 4.1.3. Local People

LetFz=0, then z=0, z=1 or 1−yeN2+yN3−1−xG3+xG4=0, obtaining e=1−xG3+xG4−yN3/1−yN2. According to the stability theorem of replication dynamic equation and the principle of evolutionary stability strategy, when Fz=0, F′z<0, z is the evolutionary stability strategy point, which is discussed in the following three cases :(1)
1−yeN2+yN3−1−xG3+xG4=0. Then, Fz=0, F′z=0. In this case, when the resistance of local people to the pollution NIMBY facilities spread by new media reaches e=1−xG3+xG4−yN3/1−yN2, both resisting and not resisting of local residents are the best strategy choices.(2)
1−yeN2+yN3−1−xG3+xG4>0. When z=0, Fz=0, F′z>0, and it is not an evolutionary stable strategy point. When z=1, Fz=0, F′z<0, and it is an evolutionary stable strategy point. In this case, when local people’s resistance to pollution NIMBY facilities spread by new media reaches e=1−xG3+xG4−yN3/1−yN2 and shows a trend of gradual reduction, local people decide not to resist is the best strategy choice.(3)
1−yeN2+yN3−1−xG3+xG4<0. When z=0, Fz=0, F′z<0, and it is an evolutionary stable strategy point. When z=1, Fz=0, F′z>0, and it is not an evolutionary stable strategy point. In this case, when local people’s resistance to pollution NIMBY facilities spread by new media reaches e=1−xG3+xG4−yN3/1−yN2 and shows a trend of gradual increasing, local people decide to resist is the best strategy choice. The dynamic phase diagram of stability evolution replication of local people’s strategy selection is shown in Figure 4.Figure 4
Dynamic phase diagram of local people strategy selection stability evolution and replication.
(a)(b)(c)


### 4.1.4. Stability Analysis of Equilibrium Point

Based on the above analysis, it can be concluded that the three-party game evolution of pollution NIMBY facilities consists of the following three planes:(9)1−ybG2−1−zG4−G3=0,0<y<1,0<z<1,x=1−M2−M4cM1,0<x<1,1−yeN2+yN3−1−xG3+xG4=0,0<x<1,0<y<1.Three planes intersect to form a three-dimensional graph surface, which represents the critical interface evolved by different participants under different conditions. According to the surface of the three-dimensional graph, it shows that on the inner side of the critical interface, the participants of the three-party game converge to the pointB (1, 0, 0). The results show that the local government, new media, and the local people should adopt the strategy of nonintervention, spreading rumors, and resistance. On the outside of the critical surface, the three-party game subject converges to point H (0, 1, 1); that is, the local government, new media, and the local people take the strategy of intervention, publicizing the truth and nonresistance. The three-dimensional representation of the dynamic trend of the stability evolution of the three-party game players is shown in Figure 5.Figure 5
Dynamic phase diagram of stability evolution replication of local government, new media, and local people.Due to the particularity of pollution NIMBY facilities, the local government’s intervention in the media is conducive to controlling the unstable factors in the construction process of the project, increasing the probability of new media publicizing the truth, and indirectly reducing the resistance probability of local people. Therefore, the evolutionary stability strategy point of the three game players isH (0, 1, 1).The game evolution is a complex and long process. In order to accelerate the convergence of the game subject to the point H of evolutionary stability strategy (intervene, publicize facts,not resist), the three players of the game should meet the following three conditions at the same time:(10)1−ybG2−1−zG4−G3<0,0<x<1−M2−M4cM1<1,0<1−yeN2+yN3−1−xG3+xG4<1.That is, the local government’s subsidies to local people’s resistance reach a certain extent and are within the acceptable scope of the local government; the punishment of new media for spreading rumors is greater than the high traffic effect brought by rumors; when the overall benefits of government construction of pollution NIMBY facilities for residents are greater than the risk cost of resistance, the three game players will choose to intervene, publicize facts, and not resist at the same time. In order to directly reflect the stable evolution process of the three-party strategy selection in the game, the numerical simulation was carried out by Spyder (Python 3.7).


## 4.1.1. Local Government

LetFx=0, then x=0, x=1 or 1−ybG2−1−zG4−G3=0, obtaining b=1−zG4−G3/1−yG2. According to the stability theorem of replication dynamic equation and the principle of evolutionary stability strategy, when Fx=0, F′x<0, x is the evolutionary stability strategy point, which is discussed in the following three cases :(1)
1−ybG2−1−zG4−G3=0. Then, Fx=0, F′x=0. In this case, when the local government’s clarification of rumors spread by new media reaches b=1−zG4−G3/1−yG2, the local government chooses to intervene or not to intervene is all its optimal strategy choice.(2)
1−ybG2−1−zG4−G3>0. When x=0, Fx=0, F′x>0, and it is not an evolutionary stable strategy point. When x=1, Fx=0, F′x<0, and it is an evolutionary stable strategy point. In this case, when the local government’s efforts to clarify rumors spread by new media reach b=1−zG4−G3/1−yG2 and show a gradual increase trend, the local government chooses not to intervene is the best choice.(3)
1−ybG2−1−zG4−G3<0. When x=0, Fx=0, F′x<0, and it is an evolutionary stable strategy point. When x=1, Fx=0, F′x<0, and it is not an evolutionary stable strategy point. In this case, when the local government’s efforts to clarify rumors spread by new media reach b=1−zG4−G3/1−yG2 and show a gradual weakened trend, the local government chooses to intervene is the best choice. The dynamic phase diagram of stability evolution replication for the local government’s strategy selection is shown in Figure 2.Figure 2
Dynamic phase diagram of local government strategy selection stability evolution and replication.
(a)(b)(c)


## 4.1.2. New Media

LetFy=0, then y=0, y=1, or x=1−M2−M4/cM1, obtaining c=M2−M4/1−xM1. According to the stability theorem of replication dynamic equation and the principle of evolutionary stability strategy, when Fy=0, F′y<0, y is the evolutionary stability strategy point, which is discussed in the following three cases :(1)
x=1−M2−M4/cM1. Then, Fy=0, F′y=0. In this case, when the government penalizes the new media for spreading rumors to a degree of c=M2−M4/1−xM1, it is the best strategy choice for the new media to adopt both the rumor spreading strategy and the fact propagating strategy.(2)
x>1−M2−M4/cM1. When y=0, Fy=0, F′y<0, and it is an evolutionary stable strategy point. When y=1, Fy=0, F′y>0, and it is not an evolutionary stable strategy point. In this case, when the government penalizes new media for spreading rumors to a degree of c=M2−M4/1−xM1 and the trend is gradually weakening, it is the best strategy choice for new media to spread rumors.(3)
x<1−M2−M4/cM1. When y=0, Fy=0, F′y>0, and it is not an evolutionary stable strategy point. When y=1, Fy=0, F′y<0, and it is an evolutionary stable strategy point. In this case, when the government penalizes new media for spreading rumors to a degree of c=M2−M4/1−xM1 and the trend is gradually increasing, it is the best strategy choice for new media to report truth. The dynamic phase diagram of new media’s strategy selection stability evolution replication is shown in Figure 3.Figure 3
Dynamic phase diagram of new media strategy selection stability evolution and replication.
(a)(b)(c)


## 4.1.3. Local People

LetFz=0, then z=0, z=1 or 1−yeN2+yN3−1−xG3+xG4=0, obtaining e=1−xG3+xG4−yN3/1−yN2. According to the stability theorem of replication dynamic equation and the principle of evolutionary stability strategy, when Fz=0, F′z<0, z is the evolutionary stability strategy point, which is discussed in the following three cases :(1)
1−yeN2+yN3−1−xG3+xG4=0. Then, Fz=0, F′z=0. In this case, when the resistance of local people to the pollution NIMBY facilities spread by new media reaches e=1−xG3+xG4−yN3/1−yN2, both resisting and not resisting of local residents are the best strategy choices.(2)
1−yeN2+yN3−1−xG3+xG4>0. When z=0, Fz=0, F′z>0, and it is not an evolutionary stable strategy point. When z=1, Fz=0, F′z<0, and it is an evolutionary stable strategy point. In this case, when local people’s resistance to pollution NIMBY facilities spread by new media reaches e=1−xG3+xG4−yN3/1−yN2 and shows a trend of gradual reduction, local people decide not to resist is the best strategy choice.(3)
1−yeN2+yN3−1−xG3+xG4<0. When z=0, Fz=0, F′z<0, and it is an evolutionary stable strategy point. When z=1, Fz=0, F′z>0, and it is not an evolutionary stable strategy point. In this case, when local people’s resistance to pollution NIMBY facilities spread by new media reaches e=1−xG3+xG4−yN3/1−yN2 and shows a trend of gradual increasing, local people decide to resist is the best strategy choice. The dynamic phase diagram of stability evolution replication of local people’s strategy selection is shown in Figure 4.Figure 4
Dynamic phase diagram of local people strategy selection stability evolution and replication.
(a)(b)(c)


## 4.1.4. Stability Analysis of Equilibrium Point

Based on the above analysis, it can be concluded that the three-party game evolution of pollution NIMBY facilities consists of the following three planes:(9)1−ybG2−1−zG4−G3=0,0<y<1,0<z<1,x=1−M2−M4cM1,0<x<1,1−yeN2+yN3−1−xG3+xG4=0,0<x<1,0<y<1.Three planes intersect to form a three-dimensional graph surface, which represents the critical interface evolved by different participants under different conditions. According to the surface of the three-dimensional graph, it shows that on the inner side of the critical interface, the participants of the three-party game converge to the pointB (1, 0, 0). The results show that the local government, new media, and the local people should adopt the strategy of nonintervention, spreading rumors, and resistance. On the outside of the critical surface, the three-party game subject converges to point H (0, 1, 1); that is, the local government, new media, and the local people take the strategy of intervention, publicizing the truth and nonresistance. The three-dimensional representation of the dynamic trend of the stability evolution of the three-party game players is shown in Figure 5.Figure 5
Dynamic phase diagram of stability evolution replication of local government, new media, and local people.Due to the particularity of pollution NIMBY facilities, the local government’s intervention in the media is conducive to controlling the unstable factors in the construction process of the project, increasing the probability of new media publicizing the truth, and indirectly reducing the resistance probability of local people. Therefore, the evolutionary stability strategy point of the three game players isH (0, 1, 1).The game evolution is a complex and long process. In order to accelerate the convergence of the game subject to the point H of evolutionary stability strategy (intervene, publicize facts,not resist), the three players of the game should meet the following three conditions at the same time:(10)1−ybG2−1−zG4−G3<0,0<x<1−M2−M4cM1<1,0<1−yeN2+yN3−1−xG3+xG4<1.That is, the local government’s subsidies to local people’s resistance reach a certain extent and are within the acceptable scope of the local government; the punishment of new media for spreading rumors is greater than the high traffic effect brought by rumors; when the overall benefits of government construction of pollution NIMBY facilities for residents are greater than the risk cost of resistance, the three game players will choose to intervene, publicize facts, and not resist at the same time. In order to directly reflect the stable evolution process of the three-party strategy selection in the game, the numerical simulation was carried out by Spyder (Python 3.7).


## 5. Numerical Simulation

### 5.1. Evolution Trajectory of System Stability

At the beginning, assuming that the probability of choosing different strategies by the local government, new media, and the public is 50%, that is to say, the probability of choosing different strategies is the same, then the starting point is (0.5, 0.5, 0.5). In order to accurately reflect the evolution trajectory selected by the three parties in the system, the trajectory step size is set to 0.1. The number of iterations was set to 1000 at the beginning to eliminate the interference of false stable state on the stability authenticity of the system. Under the condition of constant evolutionary stable results, the number of iterations of each figure in the figure below was set to 30 in order to reflect the intuitive scale of the picture. When assigning the payoff matrix of local government, new media, and local people, based on the empirical data, the paper refers to the evaluation criteria of Wu et al. [53] for local government and local people.The variable assignment in simulation is shown in Table4. The total benefits of the local government are recorded as G1, which is set as 10. Under the intervention of the government, new media will be punished by the government for spreading rumors to attract people’s attention. The government needs to pay the cost of intervention to control the spread of rumors and clarify the facts, and the government needs to bear the cost of appeasement subsidies when local people resist. Therefore, in this study, G2 = 5 and G3 = 2. In the absence of government intervention, if local people resist, certain comfort measures shall be taken, and the total cost of the subsidy borne shall be denoted as G4 which is set as 6. The construction of pollution NIMBY facilities requires a certain cost, which is denoted as G5 and the value is 5. Under the intervention of the government, new media will be punished by the government for spreading rumors. At the same time, it is assumed that new media can get high traffic attention in the first and middle stages by spreading rumors. New media will also bear the cost of information collection. And if new media publicize facts, it will get limited attention. In this study, M1 = 5, M2 = 3, M3 = 0.5, and M4 = 1. After the construction of pollution NIMBY facilities, it is expected to bring both risks and benefits to local people. The cost of resistance borne by residents will vary depending on the new media spreading rumors or publicizing the truth. Therefore, N1 = 4, N2 = 5, N3 = 2.5, and N4 = 5. The evolution trajectory of the government, new media, and the masses is shown in Figure 6.Table 4
Variable assignment.
VariableValueG110G25G32G46G55M15M23M30.5M41N14N25N32.5N45Figure 6
Stable evolution trajectory of local government, new media, and local people.As shown in Figure6, x, y, and z, respectively, represent the probability that the local government chooses not to intervene, the probability that the new media publicizes the truth, and the probability that the local people choose not to resist. The starting point in Figure 6 is x,y,z = (0.5, 0.5, 0.5), and the steady state is x,y,z = (0, 1, 1). This shows that the government can realize the three-party ideal steady state where the media propagates the truth and the public does not resist by regulating the new media to a certain extent.


### 5.2. Influence of Parameter Changes on Evolutionary Results

#### 5.2.1. The Influence ofb on Evolutionary Results

The three curves in Figure7(a) from bottom to top show the evolution trajectories of the local government’s strategy choice under the intervention level of 2.5, 5, and 7.5, respectively. It can be found that the local government’s intervention cost on rumors affects its final strategy selection: the lower the intervention cost, the greater the local government’s tendency to intervene. With the expansion of intervention cost, the tendency of the local government to choose not to intervene at the beginning is greater. When the intervention cost exceeds a certain threshold, the local government will choose not to intervene.Figure 7
The evolution of the local government, the new media, and the local people, and the three parties under different levels of government intervention in rumors.
(a)(b)(c)(d)The three curves in Figure7(b) from top to bottom show the evolutionary trajectories of new media’s strategy choice under the intervention intensity of 2.5, 5, and 7.5, respectively. The paper finds that the degree of the local government’s intervention on rumors affects the final strategy choice of the new media: when the local government’s intervention is within a certain critical value, the new media will tend to be convinced and adopt the strategy of publicizing the truth. When the local government’s intervention exceeds a certain threshold, that is, the excessive suppression of rumors by the local government will turn the new media from convincing to unconvinced, so as to choose the strategy of spreading rumors. Therefore, it can be seen that the local government’s control of rumors is not as strong as the better.The three curves in Figure7(c) from top to bottom show the evolutionary trajectories of the local people’s strategy choice under the intervention intensity of 2.5, 5, and 7.5, respectively. It can be found that the degree of the local government’s intervention on rumors affects the final strategy choice of the local people: when the local government’s intervention within a certain critical value, the local people will tend to be more convincing and adopting policy of nonresistance. When the local government’s intervention gradually increases beyond a certain critical value, that is, the local government’s excessive suppression of rumors will make the public change from being convinced to unconvinced, so that they choose the strategy of resistance. Therefore, it can be seen that the local government’s control of rumors is not as strong as the better.The three curves in Figure7(d) rotate clockwise from right to left, respectively showing the evolutionary trajectories of the three parties’ strategy choice under the intervention intensity of 2.5, 5, and 7.5, and finally stabilize at point (0, 1, 1), point (0, 1, 1), and point (1, 0, 0). It can be found that the degree of the local government’s intervention on rumors affects the final strategy choice of the three parties. When the local government’s intervention is within a certain critical value, the new media and the local people will tend to be convinced to adopt the strategy of publicizing facts and not resisting. When the local government’s intervention strength gradually increases and exceeds a certain critical value, firstly, the expansion of the intervention cost will make the situation worse than expected, and the local government will choose to give up. Secondly, the new media and the local people will also take extreme propaganda rumors and resistance strategies, so the development of pollution NIMBY facilities will face the risk of unsustainable construction. That is to say, the local government should control the rumor spread by the new media and control the intensity and cost of intervention to prevent the second situation.


#### 5.2.2. The Influence ofc on Evolutionary Results

The three curves in Figure8(a) from top to bottom show the evolution trajectories of the local government’s strategy choice under the level of 2.5, 5, and 7.5 punishment for spreading rumors by the new media. It can be found that the degree of the local government’s punishment on the new media affects the final strategy choice of itself: when the punishment intensity of the local government is less than a certain critical value, the local government will take the nonintervention strategy. However, when the punishment intensity of the local government exceeds a certain critical value, the intervention strategy will be selected, and the greater the local government’s punishment, the faster the trend of intervention.Figure 8
The evolution of the local government, the new media, and the local people, and the three parties under the different punishment of the local government to the rumor media.
(a)(b)(c)(d)The three curves in Figure8(b) from bottom to top show the evolutionary trajectories of the new media’s strategy choice under the punishment of rumor spreading at the levels of 2.5, 5, and 7.5. It can be found that the degree of punishment imposed by the local government on the new media must affect the final strategy selection of the new media: when the punishment imposed by the local government is less than a certain critical value, the new media will adopt the strategy of spreading rumors. When the punishment intensity of the local government exceeds a certain threshold, the new media will choose the strategy of publicizing facts, and the more severe the punishment intensity of the local government is, the faster the evolution trend of the new media to publicizing facts will be.The three curves in Figure8(c) from bottom to top show the evolutionary trajectories of the local people’s strategy choice under the level of 2.5, 5, and 7.5 punishment for spreading rumors by new media. It can be found that the punishment degree of the local government on the new media also affects the final strategy choice of the local people: when the punishment intensity of the local government to the new media is less than a certain threshold, the new media will adopt the strategy of spreading rumors, which leads to the tendency of the local people to adopt resistance strategies. When the local government’s punishment exceeds a certain threshold, the new media will choose to publicize the truth. Although the local people have the trend of evolution to resistance strategy at the beginning, they still tend not to resist later. Moreover, the more severe the local government punishes the rumor spreading new media, the weaker the tendency of the local people to evolve into the resistance strategy, and the stronger the trend to the nonresistance strategy.The three curves in Figure8(d) rotate from left to right counter clockwise, respectively, showing the evolution trajectories of strategy selection of the three parties under the level of 2.5, 5, and 7.5 punishment for rumor spreading by new media, and finally stabilized at point (1, 0, 0), point (0, 1, 1), and point (0, 1, 1). It can be found that the degree of punishment imposed by the local government on the new media for disinformation affects the final strategy choice of the three parties at the same time. When the punishment imposed by the local government on the new media for disinformation is less than a certain critical value, the new media will adopt the strategy of rumor spreading, which leads to the tendency of the local people to adopt the strategy of resistance and thus makes it impossible for the local government to intervene effectively. When the local government punishes the new media for spreading rumors beyond a certain threshold, the new media will choose to publicize the truth. Although the local people tend to evolve towards resistance strategy at the beginning, they still tend not to resist later. Moreover, the more the local government punishes the rumor spreading new media, the weaker the tendency of the local people to evolve towards the resistance strategy and the stronger the trend to the nonresistance strategy. From the evolution trend of the three parties, the paper finds that the local government’s punishment on the new media should be kept above a certain level.


#### 5.2.3. The Influence ofe on Evolutionary Results

The three curves in Figure9(a) from bottom to top, respectively, indicate the evolution trajectories of the local government’s strategy choice at the levels of 2.5, 5, and 7.5 for local people’s resistance to polluting NMBY facilities when rumors are spread by the new media. It can be found that the degree of resistance of the local people also affects the final strategy selection of the local government: when the resistance of the local people is less than a certain critical value, the local government will take intervention strategies, and the stronger the resistance of the local people, the greater the pressure of the local government’s intervention. When the resistance of the local people exceeds a certain threshold, the situation deteriorates and the local government fails. At this point, the local government can no longer intervene, and the construction of pollution NIMBY facilities is forced to stop.Figure 9
The evolution of the local government, the new media, and the local people, and the three parties with different resistance to the NIMBY facilities by local people when new media spread rumors.
(a)(b)(c)(d)The three curves in Figure9(b) from top to bottom, respectively, indicate the evolution trajectories of the new media’s strategy choice at the levels of 2.5, 5, and 7.5 for local people’s resistance to polluting NMBY facilities when rumors are spread by the new media. It can be found that the degree of resistance of the local people also affects the final strategy choice of the new media: when the resistance of the local people is less than a certain critical value, the new media will adopt the strategy of publicizing the truth, and the weaker the resistance of the local people, the greater the tendency of the new media to publicize the truth. When the resistance of the local people exceeds a certain critical value, the new media will choose to spread rumors regardless of the risk of being punished. At this time, the construction of pollution NIMBY facilities will also be forced to stop.The three curves in Figure9(c) from bottom to top show the evolution trajectories of local people’s own strategy choice as its resistance to pollution NIMBY facilities is 2.5, 5, and 7.5 when rumors are spread by the new media. Although the degree of resistance of the local people does not affect the final strategy choice, it has a huge impact on the pollution NIMBY facilities: when the resistance of the local people is less than a certain critical value, which means the cost of resistance is acceptable, and they tend to adopt resistance strategies at the beginning. With the disclosure of the truth of the incident by the local government and the new media, the local people will gradually accept the nonresistance strategy of pollution NIMBY facilities. When the resistance strength of the local people exceeds a certain critical value, it can be found from the evolution track of E = 7.5 that the local people finally tend not to resist, because the excessive resistance cost is unacceptable to the local people. A little resistance will face huge losses, and the local people still do not accept the continuation project in their hearts.The three evolution curves in Figure9(d) rotated from left counterclockwise to right, respectively, represent the evolution trajectories of the three parties’ strategic choice at the levels of 2.5, 5, and 7.5 for local people’s resistance to pollution NIMBY facilities when rumors are spread by new media, and finally stabilize at points (0, 1, 1), (0, 1, 1), and (1, 0, 1), respectively. It can be found that the resistance of the local people affects the final strategy choice of both the local government and the new media: when the resistance of the local people is less than a certain critical value, through reasonable intervention by the local government, the new media will adopt the strategy of publicizing facts, so that the local people finally choose the strategy of nonresistance. And the weaker the resistance of the local people, the greater the tendency of the new media to publicize facts. When the resistance strength exceeds a critical value of the local people, they cannot afford the high cost of resistance, and they are forced to choose the nonresistance strategy. The local government intervention fails and gives up the intervention. The new media tends to choose the strategy of spreading rumors. At this time, spreading rumors is equivalent to publicizing the truth to a certain extent, that is, there is a greater environmental risk in the continued construction of pollution NIMBY facilities. Finally, the project tends to stop construction.


## 5.1. Evolution Trajectory of System Stability

At the beginning, assuming that the probability of choosing different strategies by the local government, new media, and the public is 50%, that is to say, the probability of choosing different strategies is the same, then the starting point is (0.5, 0.5, 0.5). In order to accurately reflect the evolution trajectory selected by the three parties in the system, the trajectory step size is set to 0.1. The number of iterations was set to 1000 at the beginning to eliminate the interference of false stable state on the stability authenticity of the system. Under the condition of constant evolutionary stable results, the number of iterations of each figure in the figure below was set to 30 in order to reflect the intuitive scale of the picture. When assigning the payoff matrix of local government, new media, and local people, based on the empirical data, the paper refers to the evaluation criteria of Wu et al. [53] for local government and local people.The variable assignment in simulation is shown in Table4. The total benefits of the local government are recorded as G1, which is set as 10. Under the intervention of the government, new media will be punished by the government for spreading rumors to attract people’s attention. The government needs to pay the cost of intervention to control the spread of rumors and clarify the facts, and the government needs to bear the cost of appeasement subsidies when local people resist. Therefore, in this study, G2 = 5 and G3 = 2. In the absence of government intervention, if local people resist, certain comfort measures shall be taken, and the total cost of the subsidy borne shall be denoted as G4 which is set as 6. The construction of pollution NIMBY facilities requires a certain cost, which is denoted as G5 and the value is 5. Under the intervention of the government, new media will be punished by the government for spreading rumors. At the same time, it is assumed that new media can get high traffic attention in the first and middle stages by spreading rumors. New media will also bear the cost of information collection. And if new media publicize facts, it will get limited attention. In this study, M1 = 5, M2 = 3, M3 = 0.5, and M4 = 1. After the construction of pollution NIMBY facilities, it is expected to bring both risks and benefits to local people. The cost of resistance borne by residents will vary depending on the new media spreading rumors or publicizing the truth. Therefore, N1 = 4, N2 = 5, N3 = 2.5, and N4 = 5. The evolution trajectory of the government, new media, and the masses is shown in Figure 6.Table 4
Variable assignment.
VariableValueG110G25G32G46G55M15M23M30.5M41N14N25N32.5N45Figure 6
Stable evolution trajectory of local government, new media, and local people.As shown in Figure6, x, y, and z, respectively, represent the probability that the local government chooses not to intervene, the probability that the new media publicizes the truth, and the probability that the local people choose not to resist. The starting point in Figure 6 is x,y,z = (0.5, 0.5, 0.5), and the steady state is x,y,z = (0, 1, 1). This shows that the government can realize the three-party ideal steady state where the media propagates the truth and the public does not resist by regulating the new media to a certain extent.


## 5.2. Influence of Parameter Changes on Evolutionary Results

### 5.2.1. The Influence ofb on Evolutionary Results

The three curves in Figure7(a) from bottom to top show the evolution trajectories of the local government’s strategy choice under the intervention level of 2.5, 5, and 7.5, respectively. It can be found that the local government’s intervention cost on rumors affects its final strategy selection: the lower the intervention cost, the greater the local government’s tendency to intervene. With the expansion of intervention cost, the tendency of the local government to choose not to intervene at the beginning is greater. When the intervention cost exceeds a certain threshold, the local government will choose not to intervene.Figure 7
The evolution of the local government, the new media, and the local people, and the three parties under different levels of government intervention in rumors.
(a)(b)(c)(d)The three curves in Figure7(b) from top to bottom show the evolutionary trajectories of new media’s strategy choice under the intervention intensity of 2.5, 5, and 7.5, respectively. The paper finds that the degree of the local government’s intervention on rumors affects the final strategy choice of the new media: when the local government’s intervention is within a certain critical value, the new media will tend to be convinced and adopt the strategy of publicizing the truth. When the local government’s intervention exceeds a certain threshold, that is, the excessive suppression of rumors by the local government will turn the new media from convincing to unconvinced, so as to choose the strategy of spreading rumors. Therefore, it can be seen that the local government’s control of rumors is not as strong as the better.The three curves in Figure7(c) from top to bottom show the evolutionary trajectories of the local people’s strategy choice under the intervention intensity of 2.5, 5, and 7.5, respectively. It can be found that the degree of the local government’s intervention on rumors affects the final strategy choice of the local people: when the local government’s intervention within a certain critical value, the local people will tend to be more convincing and adopting policy of nonresistance. When the local government’s intervention gradually increases beyond a certain critical value, that is, the local government’s excessive suppression of rumors will make the public change from being convinced to unconvinced, so that they choose the strategy of resistance. Therefore, it can be seen that the local government’s control of rumors is not as strong as the better.The three curves in Figure7(d) rotate clockwise from right to left, respectively showing the evolutionary trajectories of the three parties’ strategy choice under the intervention intensity of 2.5, 5, and 7.5, and finally stabilize at point (0, 1, 1), point (0, 1, 1), and point (1, 0, 0). It can be found that the degree of the local government’s intervention on rumors affects the final strategy choice of the three parties. When the local government’s intervention is within a certain critical value, the new media and the local people will tend to be convinced to adopt the strategy of publicizing facts and not resisting. When the local government’s intervention strength gradually increases and exceeds a certain critical value, firstly, the expansion of the intervention cost will make the situation worse than expected, and the local government will choose to give up. Secondly, the new media and the local people will also take extreme propaganda rumors and resistance strategies, so the development of pollution NIMBY facilities will face the risk of unsustainable construction. That is to say, the local government should control the rumor spread by the new media and control the intensity and cost of intervention to prevent the second situation.


### 5.2.2. The Influence ofc on Evolutionary Results

The three curves in Figure8(a) from top to bottom show the evolution trajectories of the local government’s strategy choice under the level of 2.5, 5, and 7.5 punishment for spreading rumors by the new media. It can be found that the degree of the local government’s punishment on the new media affects the final strategy choice of itself: when the punishment intensity of the local government is less than a certain critical value, the local government will take the nonintervention strategy. However, when the punishment intensity of the local government exceeds a certain critical value, the intervention strategy will be selected, and the greater the local government’s punishment, the faster the trend of intervention.Figure 8
The evolution of the local government, the new media, and the local people, and the three parties under the different punishment of the local government to the rumor media.
(a)(b)(c)(d)The three curves in Figure8(b) from bottom to top show the evolutionary trajectories of the new media’s strategy choice under the punishment of rumor spreading at the levels of 2.5, 5, and 7.5. It can be found that the degree of punishment imposed by the local government on the new media must affect the final strategy selection of the new media: when the punishment imposed by the local government is less than a certain critical value, the new media will adopt the strategy of spreading rumors. When the punishment intensity of the local government exceeds a certain threshold, the new media will choose the strategy of publicizing facts, and the more severe the punishment intensity of the local government is, the faster the evolution trend of the new media to publicizing facts will be.The three curves in Figure8(c) from bottom to top show the evolutionary trajectories of the local people’s strategy choice under the level of 2.5, 5, and 7.5 punishment for spreading rumors by new media. It can be found that the punishment degree of the local government on the new media also affects the final strategy choice of the local people: when the punishment intensity of the local government to the new media is less than a certain threshold, the new media will adopt the strategy of spreading rumors, which leads to the tendency of the local people to adopt resistance strategies. When the local government’s punishment exceeds a certain threshold, the new media will choose to publicize the truth. Although the local people have the trend of evolution to resistance strategy at the beginning, they still tend not to resist later. Moreover, the more severe the local government punishes the rumor spreading new media, the weaker the tendency of the local people to evolve into the resistance strategy, and the stronger the trend to the nonresistance strategy.The three curves in Figure8(d) rotate from left to right counter clockwise, respectively, showing the evolution trajectories of strategy selection of the three parties under the level of 2.5, 5, and 7.5 punishment for rumor spreading by new media, and finally stabilized at point (1, 0, 0), point (0, 1, 1), and point (0, 1, 1). It can be found that the degree of punishment imposed by the local government on the new media for disinformation affects the final strategy choice of the three parties at the same time. When the punishment imposed by the local government on the new media for disinformation is less than a certain critical value, the new media will adopt the strategy of rumor spreading, which leads to the tendency of the local people to adopt the strategy of resistance and thus makes it impossible for the local government to intervene effectively. When the local government punishes the new media for spreading rumors beyond a certain threshold, the new media will choose to publicize the truth. Although the local people tend to evolve towards resistance strategy at the beginning, they still tend not to resist later. Moreover, the more the local government punishes the rumor spreading new media, the weaker the tendency of the local people to evolve towards the resistance strategy and the stronger the trend to the nonresistance strategy. From the evolution trend of the three parties, the paper finds that the local government’s punishment on the new media should be kept above a certain level.


### 5.2.3. The Influence ofe on Evolutionary Results

The three curves in Figure9(a) from bottom to top, respectively, indicate the evolution trajectories of the local government’s strategy choice at the levels of 2.5, 5, and 7.5 for local people’s resistance to polluting NMBY facilities when rumors are spread by the new media. It can be found that the degree of resistance of the local people also affects the final strategy selection of the local government: when the resistance of the local people is less than a certain critical value, the local government will take intervention strategies, and the stronger the resistance of the local people, the greater the pressure of the local government’s intervention. When the resistance of the local people exceeds a certain threshold, the situation deteriorates and the local government fails. At this point, the local government can no longer intervene, and the construction of pollution NIMBY facilities is forced to stop.Figure 9
The evolution of the local government, the new media, and the local people, and the three parties with different resistance to the NIMBY facilities by local people when new media spread rumors.
(a)(b)(c)(d)The three curves in Figure9(b) from top to bottom, respectively, indicate the evolution trajectories of the new media’s strategy choice at the levels of 2.5, 5, and 7.5 for local people’s resistance to polluting NMBY facilities when rumors are spread by the new media. It can be found that the degree of resistance of the local people also affects the final strategy choice of the new media: when the resistance of the local people is less than a certain critical value, the new media will adopt the strategy of publicizing the truth, and the weaker the resistance of the local people, the greater the tendency of the new media to publicize the truth. When the resistance of the local people exceeds a certain critical value, the new media will choose to spread rumors regardless of the risk of being punished. At this time, the construction of pollution NIMBY facilities will also be forced to stop.The three curves in Figure9(c) from bottom to top show the evolution trajectories of local people’s own strategy choice as its resistance to pollution NIMBY facilities is 2.5, 5, and 7.5 when rumors are spread by the new media. Although the degree of resistance of the local people does not affect the final strategy choice, it has a huge impact on the pollution NIMBY facilities: when the resistance of the local people is less than a certain critical value, which means the cost of resistance is acceptable, and they tend to adopt resistance strategies at the beginning. With the disclosure of the truth of the incident by the local government and the new media, the local people will gradually accept the nonresistance strategy of pollution NIMBY facilities. When the resistance strength of the local people exceeds a certain critical value, it can be found from the evolution track of E = 7.5 that the local people finally tend not to resist, because the excessive resistance cost is unacceptable to the local people. A little resistance will face huge losses, and the local people still do not accept the continuation project in their hearts.The three evolution curves in Figure9(d) rotated from left counterclockwise to right, respectively, represent the evolution trajectories of the three parties’ strategic choice at the levels of 2.5, 5, and 7.5 for local people’s resistance to pollution NIMBY facilities when rumors are spread by new media, and finally stabilize at points (0, 1, 1), (0, 1, 1), and (1, 0, 1), respectively. It can be found that the resistance of the local people affects the final strategy choice of both the local government and the new media: when the resistance of the local people is less than a certain critical value, through reasonable intervention by the local government, the new media will adopt the strategy of publicizing facts, so that the local people finally choose the strategy of nonresistance. And the weaker the resistance of the local people, the greater the tendency of the new media to publicize facts. When the resistance strength exceeds a critical value of the local people, they cannot afford the high cost of resistance, and they are forced to choose the nonresistance strategy. The local government intervention fails and gives up the intervention. The new media tends to choose the strategy of spreading rumors. At this time, spreading rumors is equivalent to publicizing the truth to a certain extent, that is, there is a greater environmental risk in the continued construction of pollution NIMBY facilities. Finally, the project tends to stop construction.


## 5.2.1. The Influence ofb on Evolutionary Results

The three curves in Figure7(a) from bottom to top show the evolution trajectories of the local government’s strategy choice under the intervention level of 2.5, 5, and 7.5, respectively. It can be found that the local government’s intervention cost on rumors affects its final strategy selection: the lower the intervention cost, the greater the local government’s tendency to intervene. With the expansion of intervention cost, the tendency of the local government to choose not to intervene at the beginning is greater. When the intervention cost exceeds a certain threshold, the local government will choose not to intervene.Figure 7
The evolution of the local government, the new media, and the local people, and the three parties under different levels of government intervention in rumors.
(a)(b)(c)(d)The three curves in Figure7(b) from top to bottom show the evolutionary trajectories of new media’s strategy choice under the intervention intensity of 2.5, 5, and 7.5, respectively. The paper finds that the degree of the local government’s intervention on rumors affects the final strategy choice of the new media: when the local government’s intervention is within a certain critical value, the new media will tend to be convinced and adopt the strategy of publicizing the truth. When the local government’s intervention exceeds a certain threshold, that is, the excessive suppression of rumors by the local government will turn the new media from convincing to unconvinced, so as to choose the strategy of spreading rumors. Therefore, it can be seen that the local government’s control of rumors is not as strong as the better.The three curves in Figure7(c) from top to bottom show the evolutionary trajectories of the local people’s strategy choice under the intervention intensity of 2.5, 5, and 7.5, respectively. It can be found that the degree of the local government’s intervention on rumors affects the final strategy choice of the local people: when the local government’s intervention within a certain critical value, the local people will tend to be more convincing and adopting policy of nonresistance. When the local government’s intervention gradually increases beyond a certain critical value, that is, the local government’s excessive suppression of rumors will make the public change from being convinced to unconvinced, so that they choose the strategy of resistance. Therefore, it can be seen that the local government’s control of rumors is not as strong as the better.The three curves in Figure7(d) rotate clockwise from right to left, respectively showing the evolutionary trajectories of the three parties’ strategy choice under the intervention intensity of 2.5, 5, and 7.5, and finally stabilize at point (0, 1, 1), point (0, 1, 1), and point (1, 0, 0). It can be found that the degree of the local government’s intervention on rumors affects the final strategy choice of the three parties. When the local government’s intervention is within a certain critical value, the new media and the local people will tend to be convinced to adopt the strategy of publicizing facts and not resisting. When the local government’s intervention strength gradually increases and exceeds a certain critical value, firstly, the expansion of the intervention cost will make the situation worse than expected, and the local government will choose to give up. Secondly, the new media and the local people will also take extreme propaganda rumors and resistance strategies, so the development of pollution NIMBY facilities will face the risk of unsustainable construction. That is to say, the local government should control the rumor spread by the new media and control the intensity and cost of intervention to prevent the second situation.


## 5.2.2. The Influence ofc on Evolutionary Results

The three curves in Figure8(a) from top to bottom show the evolution trajectories of the local government’s strategy choice under the level of 2.5, 5, and 7.5 punishment for spreading rumors by the new media. It can be found that the degree of the local government’s punishment on the new media affects the final strategy choice of itself: when the punishment intensity of the local government is less than a certain critical value, the local government will take the nonintervention strategy. However, when the punishment intensity of the local government exceeds a certain critical value, the intervention strategy will be selected, and the greater the local government’s punishment, the faster the trend of intervention.Figure 8
The evolution of the local government, the new media, and the local people, and the three parties under the different punishment of the local government to the rumor media.
(a)(b)(c)(d)The three curves in Figure8(b) from bottom to top show the evolutionary trajectories of the new media’s strategy choice under the punishment of rumor spreading at the levels of 2.5, 5, and 7.5. It can be found that the degree of punishment imposed by the local government on the new media must affect the final strategy selection of the new media: when the punishment imposed by the local government is less than a certain critical value, the new media will adopt the strategy of spreading rumors. When the punishment intensity of the local government exceeds a certain threshold, the new media will choose the strategy of publicizing facts, and the more severe the punishment intensity of the local government is, the faster the evolution trend of the new media to publicizing facts will be.The three curves in Figure8(c) from bottom to top show the evolutionary trajectories of the local people’s strategy choice under the level of 2.5, 5, and 7.5 punishment for spreading rumors by new media. It can be found that the punishment degree of the local government on the new media also affects the final strategy choice of the local people: when the punishment intensity of the local government to the new media is less than a certain threshold, the new media will adopt the strategy of spreading rumors, which leads to the tendency of the local people to adopt resistance strategies. When the local government’s punishment exceeds a certain threshold, the new media will choose to publicize the truth. Although the local people have the trend of evolution to resistance strategy at the beginning, they still tend not to resist later. Moreover, the more severe the local government punishes the rumor spreading new media, the weaker the tendency of the local people to evolve into the resistance strategy, and the stronger the trend to the nonresistance strategy.The three curves in Figure8(d) rotate from left to right counter clockwise, respectively, showing the evolution trajectories of strategy selection of the three parties under the level of 2.5, 5, and 7.5 punishment for rumor spreading by new media, and finally stabilized at point (1, 0, 0), point (0, 1, 1), and point (0, 1, 1). It can be found that the degree of punishment imposed by the local government on the new media for disinformation affects the final strategy choice of the three parties at the same time. When the punishment imposed by the local government on the new media for disinformation is less than a certain critical value, the new media will adopt the strategy of rumor spreading, which leads to the tendency of the local people to adopt the strategy of resistance and thus makes it impossible for the local government to intervene effectively. When the local government punishes the new media for spreading rumors beyond a certain threshold, the new media will choose to publicize the truth. Although the local people tend to evolve towards resistance strategy at the beginning, they still tend not to resist later. Moreover, the more the local government punishes the rumor spreading new media, the weaker the tendency of the local people to evolve towards the resistance strategy and the stronger the trend to the nonresistance strategy. From the evolution trend of the three parties, the paper finds that the local government’s punishment on the new media should be kept above a certain level.


## 5.2.3. The Influence ofe on Evolutionary Results

The three curves in Figure9(a) from bottom to top, respectively, indicate the evolution trajectories of the local government’s strategy choice at the levels of 2.5, 5, and 7.5 for local people’s resistance to polluting NMBY facilities when rumors are spread by the new media. It can be found that the degree of resistance of the local people also affects the final strategy selection of the local government: when the resistance of the local people is less than a certain critical value, the local government will take intervention strategies, and the stronger the resistance of the local people, the greater the pressure of the local government’s intervention. When the resistance of the local people exceeds a certain threshold, the situation deteriorates and the local government fails. At this point, the local government can no longer intervene, and the construction of pollution NIMBY facilities is forced to stop.Figure 9
The evolution of the local government, the new media, and the local people, and the three parties with different resistance to the NIMBY facilities by local people when new media spread rumors.
(a)(b)(c)(d)The three curves in Figure9(b) from top to bottom, respectively, indicate the evolution trajectories of the new media’s strategy choice at the levels of 2.5, 5, and 7.5 for local people’s resistance to polluting NMBY facilities when rumors are spread by the new media. It can be found that the degree of resistance of the local people also affects the final strategy choice of the new media: when the resistance of the local people is less than a certain critical value, the new media will adopt the strategy of publicizing the truth, and the weaker the resistance of the local people, the greater the tendency of the new media to publicize the truth. When the resistance of the local people exceeds a certain critical value, the new media will choose to spread rumors regardless of the risk of being punished. At this time, the construction of pollution NIMBY facilities will also be forced to stop.The three curves in Figure9(c) from bottom to top show the evolution trajectories of local people’s own strategy choice as its resistance to pollution NIMBY facilities is 2.5, 5, and 7.5 when rumors are spread by the new media. Although the degree of resistance of the local people does not affect the final strategy choice, it has a huge impact on the pollution NIMBY facilities: when the resistance of the local people is less than a certain critical value, which means the cost of resistance is acceptable, and they tend to adopt resistance strategies at the beginning. With the disclosure of the truth of the incident by the local government and the new media, the local people will gradually accept the nonresistance strategy of pollution NIMBY facilities. When the resistance strength of the local people exceeds a certain critical value, it can be found from the evolution track of E = 7.5 that the local people finally tend not to resist, because the excessive resistance cost is unacceptable to the local people. A little resistance will face huge losses, and the local people still do not accept the continuation project in their hearts.The three evolution curves in Figure9(d) rotated from left counterclockwise to right, respectively, represent the evolution trajectories of the three parties’ strategic choice at the levels of 2.5, 5, and 7.5 for local people’s resistance to pollution NIMBY facilities when rumors are spread by new media, and finally stabilize at points (0, 1, 1), (0, 1, 1), and (1, 0, 1), respectively. It can be found that the resistance of the local people affects the final strategy choice of both the local government and the new media: when the resistance of the local people is less than a certain critical value, through reasonable intervention by the local government, the new media will adopt the strategy of publicizing facts, so that the local people finally choose the strategy of nonresistance. And the weaker the resistance of the local people, the greater the tendency of the new media to publicize facts. When the resistance strength exceeds a critical value of the local people, they cannot afford the high cost of resistance, and they are forced to choose the nonresistance strategy. The local government intervention fails and gives up the intervention. The new media tends to choose the strategy of spreading rumors. At this time, spreading rumors is equivalent to publicizing the truth to a certain extent, that is, there is a greater environmental risk in the continued construction of pollution NIMBY facilities. Finally, the project tends to stop construction.


## 6. Discussion

The results derived from the comprehensive simulation analysis, including the strategy evolution of the three stakeholders and their mutual influence, have reference value for the behavior analysis of local government, new media, and local people in the construction of pollution NIMBY facilities and the governance of NIMBY conflict. First, different stakeholders will take different strategies based on their own interests. However, there is an evolutionary stable point in different evolutionary combinations, which provides the possibility to eliminate the risk of pollution NIMBY facility construction. Secondly, the degree of government intervention in rumors, the degree of government punishment on new media, and the degree of public resistance have an impact on the evolution of the three-party game, which also provides means and tools for the governance of pollution NIMBY conflict.As the manager of the society, the local government not only has the demand of promoting the local social development but also has the responsibility of maintaining the local social stability. The information dissemination in new media under the network environment is more direct, faster and more convenient, especially the Microblog, WeChat, forum, and other network information communication technologies. The rumors related to pollution NIMBY facilities are radiated to the society at geometric level, which has a significant multiplier effect on media public opinion, forming the interaction between virtual world and real world. According to the statistical analysis of 150 environmental mass incidents in China, excluding 24 cases with unknown information, 20% of the 126 effective samples had rumors spread, and rumors mainly occurred in PX projects and waste incineration projects [69]. Compared with traditional media, new media not only acts as an intermediate link and a system of emotional promotion but also plays an important role in shaping the response of social movements and the government through the perception of public attention [70]. This has also been confirmed in the research of Lynas Advanced Material Plant in Malaysia. Rumors play an important role in shaping public perception, and those who get information from them are more likely to believe that factories have a high level of environmental impact. Furthermore, rumors spread by new media can create fear among locals and affect their resistance to factories [71]. As for the government, the harm brought by the public spreading fierce words and taking resistance measures against the construction of pollution NIMBY facilities is far greater than the overall benefit brought by a project, so the government will choose to stop or postpone the construction.As the disseminator of information, the media have the desire to expand their own influence but also need to assume social responsibility. New media plays an important role in the process of social risk communication and governance. The equality, immediacy, grassroots, popularity, and other media characteristics of the Internet have broken the stereotype of social life, changed China’s social organization structure and political ecological environment, and become the most important platform for the public to express political vision and livelihood demands. In the process of information dissemination, in order to improve their own influence, some new media exaggerate the facts, distort the truth, and make alarmist remarks, so as to increase the number of media views and forwarding and thus enlarge the social risk. According to the Annual Report on Development of New Media in China (2016), 70.3% of the respondents said they would rather believe the information that is very important but hard to distinguish between true and false, and only 17.6% chose would rather not. After investigating and visiting the PX Incident in Maoming, 92.8% of the local people thought that the expression of media reports would have cognitive impact on the public and 30.8% of them thought that the impact was very great [72]. Various emotions and psychology accumulated by the public are attached to rumors through informal channels, forming contagious prejudices, and questioning the rationality of decisions made by the grassroots government under the continuous fracture of dialogue. Therefore, it is necessary to prevent the spread of new media rumors from the source. Through a certain punishment mechanism, the government can promote the new media to report events fairly and then effectively curb the spread of Internet rumors. The relevant literature also draws a similar conclusion; that is, monitoring the Internet to prevent the spread of rumors is more important than deleting the existing information. The government should punish the main communicators, and when a few people are punished, the control effect is obvious [73].The local people not only need to maintain their own safety and health but also pursue the interests of improving living standards. For the local people, if the overall benefits brought by pollution NIMBY facilities are difficult to achieve the expected, or the overall benefits are slow to achieve, or the sense of crisis brought by the potential risks of the project is far stronger than the demand to achieve benefits, then the local people may choose to oppose the construction of pollution NIMBY facilities. The information asymmetry between the local government and the local people is an important reason for resisting the construction of pollution NIMBY facilities. The local people may overestimate the risk level of NIMBY facilities because they do not understand the technical elements involved. Decision makers need to make the public aware of the available public interests to effectively resolve the NIMBY conflict. In the multi-interest groups, sufficient information sharing makes the decision-making more rational, and the cooperation between the multi-interest subjects is easier to realize [74]. Through information sharing and communication, stakeholders related to the construction of pollution NIMBY facilities can exchange invisible resources or knowledge, thus breaking the situation of information separation and eliminating the estrangement and misunderstanding between multiple stakeholders. This has been confirmed in the Beijing Asuwei incinerator project, where the government and the public have a mutual, equal, and fruitful dialogue. The public participates in the knowledge production process, has a reasonable understanding of the risks of the waste incineration project, and finally takes a supportive attitude [75]. In addition, the low credibility of government departments is an important factor of the local people’s resistance attitude. The strong distrust of government departments will lead to local people’s dissatisfaction with pollution NIMBY facilities. Trust is the core element that makes all stakeholders cooperate. Under the environment of asymmetric information, the local people’s trust in local government can effectively inhibit the formation of their resistance attitude.


## 7. Conclusion and Policy Enlightenment

### 7.1. Conclusion

Based on evolutionary game theory, this paper constructs a three-party evolutionary game model of the local government, the new media, and the local people in pollution NIMBY conflict and discusses the influence of different strategy combinations. Through the stability analysis of the equilibrium point and combining with the actual situation, it is concluded that the ideal evolutionary stable strategy is that “the local government regulates the new media to a certain extent, the media publicizes the truth, and the local people do not resist.” Through numerical simulation examples, this paper illustrates the stable evolution strategies in different scenarios and the influence of parameter changes on these strategies: (1) the local government’s intervention on rumors is not the greater the better. Only when the local government’s intervention is within a certain critical value, the new media and the local people will tend to be convinced to adopt the strategy of publicizing the truth and not resisting. (2) The local government should keep the punishment of the new media for spreading rumors above a certain level. Otherwise, driven by interests, some new media will choose the strategy of spreading rumors, thus arousing the local people’s resistance strategy and making it impossible for the local government to intervene effectively. (3) The degree of the local people’s resistance affects the final strategy choice of both the local government and the new media. When the local people’s resistance is very strong, it indicates that polluting NIMBY facilities do have a large environmental risk. In this case, stopping construction is the best choice.


### 7.2. Policy Enlightenment

The social conflict caused by the pollution NIMBY facilities should not be narrowly understood as an environmental movement, or even social struggle. The pollution NIMBY facilities themselves have a certain public welfare. Therefore, in the process of governance, the government should make use of reasonable institutions and policy tools to make the construction of pollution NIMBY facilities gain social trust and public support, and finally improve the overall social welfare level through its construction and operation. (1) The local government should improve the information sharing mechanism. All stakeholders share information through the Internet, forming a dynamic self-organizing network system integrating the local government, the new media, and the local people. (2) The local government should smooth the information communication mechanism. Through communication with new media and the local people, formal and informal communication channels should be established to promote information disclosure and improve the openness and effectiveness of pollution NIMBY conflict governance. (3) Build a trust mechanism of multistakeholder collaborative governance in NIMBY conflict. The local government should strengthen the construction of public credibility, improve the information disclosure institution, public supervision and evaluation institution, public participation institution, administrative accountability institution, etc., and strengthen the local people’s trust in the local government, so as to be more convincing in the construction of pollution NIMBY facilities and the governance of NIMBY conflict. (4) Build a systematic network governance mechanism. On the one hand, laws and regulations should be improved to make the operation of the new media and the local government’s management of new media more reasonable. On the other hand, the local government should not only manage new media but also make good use of new media to interact with the local people, so as to provide public opinion basis and guidance for formulating policies, making decisions and solving social problems. (5) Build a public participation mechanism that matches the public awareness and quality. For low-maturity public participants, “government leading and community participating” mechanism is adopted; for medium-maturity public participants, “government guiding and social organization intervening” mechanism is adopted; for high-maturity public participants, “cooperation between government and social organizations” mechanism is adopted.


## 7.1. Conclusion

Based on evolutionary game theory, this paper constructs a three-party evolutionary game model of the local government, the new media, and the local people in pollution NIMBY conflict and discusses the influence of different strategy combinations. Through the stability analysis of the equilibrium point and combining with the actual situation, it is concluded that the ideal evolutionary stable strategy is that “the local government regulates the new media to a certain extent, the media publicizes the truth, and the local people do not resist.” Through numerical simulation examples, this paper illustrates the stable evolution strategies in different scenarios and the influence of parameter changes on these strategies: (1) the local government’s intervention on rumors is not the greater the better. Only when the local government’s intervention is within a certain critical value, the new media and the local people will tend to be convinced to adopt the strategy of publicizing the truth and not resisting. (2) The local government should keep the punishment of the new media for spreading rumors above a certain level. Otherwise, driven by interests, some new media will choose the strategy of spreading rumors, thus arousing the local people’s resistance strategy and making it impossible for the local government to intervene effectively. (3) The degree of the local people’s resistance affects the final strategy choice of both the local government and the new media. When the local people’s resistance is very strong, it indicates that polluting NIMBY facilities do have a large environmental risk. In this case, stopping construction is the best choice.


## 7.2. Policy Enlightenment

The social conflict caused by the pollution NIMBY facilities should not be narrowly understood as an environmental movement, or even social struggle. The pollution NIMBY facilities themselves have a certain public welfare. Therefore, in the process of governance, the government should make use of reasonable institutions and policy tools to make the construction of pollution NIMBY facilities gain social trust and public support, and finally improve the overall social welfare level through its construction and operation. (1) The local government should improve the information sharing mechanism. All stakeholders share information through the Internet, forming a dynamic self-organizing network system integrating the local government, the new media, and the local people. (2) The local government should smooth the information communication mechanism. Through communication with new media and the local people, formal and informal communication channels should be established to promote information disclosure and improve the openness and effectiveness of pollution NIMBY conflict governance. (3) Build a trust mechanism of multistakeholder collaborative governance in NIMBY conflict. The local government should strengthen the construction of public credibility, improve the information disclosure institution, public supervision and evaluation institution, public participation institution, administrative accountability institution, etc., and strengthen the local people’s trust in the local government, so as to be more convincing in the construction of pollution NIMBY facilities and the governance of NIMBY conflict. (4) Build a systematic network governance mechanism. On the one hand, laws and regulations should be improved to make the operation of the new media and the local government’s management of new media more reasonable. On the other hand, the local government should not only manage new media but also make good use of new media to interact with the local people, so as to provide public opinion basis and guidance for formulating policies, making decisions and solving social problems. (5) Build a public participation mechanism that matches the public awareness and quality. For low-maturity public participants, “government leading and community participating” mechanism is adopted; for medium-maturity public participants, “government guiding and social organization intervening” mechanism is adopted; for high-maturity public participants, “cooperation between government and social organizations” mechanism is adopted.



---

*Source: 9978968-2021-07-17.xml*