## 4 Result and Discussion
### System Simulation Analysis
#### 4.3.5 Scenario Validation  
In order to verify the conclusions drawn from the aforementioned images, this paper presents four scenarios in which the following parameters have been adjusted. The objective is to provide a theoretical basis for the local government to effectively regulate coal mining enterprises. As illustrated in Figure 10, the figure depicts the strategy evolution diagram of the coal mine enterprise and the local government department in the context of intelligent coal mine construction across four distinct scenarios. To facilitate a more detailed examination of the system's specific evolutionary trajectory, this study incorporates six additional internal starting strategies, selected as follows: (0.1, 0.1), (0.1, 0.2), (0.2, 0.55), (0.3, 0.45), (0.3,0.1), and (0.4, 0.35). The parameters for the four specific scenarios are shown in Table 5.  
Figure 10a illustrates that, in the context of the aforementioned spillover punishment measures (i.e., in Scenario A), irrespective of the degree of government supervision and the initial level of intelligent construction of the enterprise, provided that the two main bodies exert their efforts concurrently, the game system can be stabilized. Consequently, coal mining enterprises will eventually achieve comprehensive intelligent construction under progressively intensifying rigorous supervision. As illustrated in Figure 10b, the continuous escalation of labor and mental costs associated with rigorous supervision by local government departments, coupled with the concomitant decline in the psychological  
Figure 9: Influence of fines on the evolutionary game. (**a**) Different local government fines levied on coal mining enterprises that do not implement intelligent construction. (**b**) Different penalties from higher authorities when local governments deregulate. costs of social supervision during the process of deregulation, has resulted in a reduction in the rate and upper limit of government regulation enhancement in comparison to the preceding period. This indicates that the government is no longer required to impose harsh penalties on enterprises, as was previously the case, and can instead achieve twice the result with half the effort. As can be seen from Figure 10c, with the increase in fines imposed by the local government on enterprises that fail to implement intelligent construction and the decrease in fines imposed by the superior government on the local government due to improper management, the government will gradually relax regulations after strengthening the control over enterprises for a period of time, which can also enable enterprises to complete comprehensive intelligent construction. Furthermore, as illustrated in Figure 10d, the behavior of local government departments is also influenced by the factor of additional revenue received from enterprises and fine factors linked to government performance. As evidenced by the trend in the figure, when this additional revenue reaches a certain percentage, the government's regulatory efforts will decrease linearly, eventually tending towards a state of non-regulation. Figure 10: Scenario evolution trend diagram. (**a**) Evolution diagram of Scene A. (**b**) Evolution diagram of Scene B. (**c**) Evolution diagram of Scene C. (**d**) Evolution diagram of Scene D. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Scenario** & \(\mu\) & **go** & **g1** & **g2** & **F1** & **F2** & **G** \\ \hline A & 0.3 & 3 & 3 & 1 & 3 & 3 & 0.35 \\ B & 0.4 & 3.1 & 3.1 & 0.9 & 4 & 2.7 & 0.4 \\ C & 0.5 & 3.2 & 3.2 & 0.8 & 5 & 2.4 & 0.45 \\ D & 0.6 & 3.3 & 3.3 & 0.7 & 6 & 2 & 0.5 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Parameter assignment values. From the perspective of management, the imposition of fines by local governments on enterprises is offset by the receipt of additional benefits from these entities. Consequently, local governments may be inclined to adopt a _laissez-faire_ management model, particularly when they receive fines from higher authorities and benefits from enterprises.