## 5 Simulation Analysis and Discussion
### Sensitivity Analysis of Benefits to Subsidy Rates and Pricing Strategies  
According to the definition of Nash equilibrium, after the game reaches equilibrium, changing the strategy of either party will result in damage to other subjects' interests. Next, the equilibrium solution is analyzed. If the operator's pricing strategy is adjusted, the interests of all participants are shown in Table 3, and the changes are shown in Figure 4.  
According to the tabular data, when the prices are lowered by 2%, the number of shared trips increases by 5.28%. It can be seen that the users' travel choice is very sensitive to price changes. Operator's revenue falls by 4.15%. Government's benefit increases by 4.14%. Among them, the environmental benefit increases by 1.87%, and the social benefit increases by 5.25%. As the cost of shared travel is reduced, more users will abandon the fuel vehicles and use the electric vehicle sharing, therefore the government's benefit will increase. But in the early stage of the development of electric vehicle sharing, when the utilization rate of facilities is low, more users mean larger scale and greater cost. In addition, the fee income will decrease due to lower pricing. Therefore, the operator's revenue will decline to a certain extent. Obviously, this is what the operator is not willing to see. Similarly, the upward adjustment of pricing will affect the enthusiasm of participating in sharing, resulting in the impaired benefits of the government. Only the equilibrium solution can achieve a balance acceptable to all players and contribute to the continued growth of environmental and social benefits. Table 4 shows the benefit values when keeping the pricing strategy unchanged and adjusting the subsidy rates. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Parameter** & **\(-2\%\)** & **\(-1\%\)** & **0\%** & **1\%** & **2\%** \\ \hline The number of sharing travel daily & 2114 & 2053 & 2008 & 1956 & 1906 \\ Sharing travel ratio & 42.28\% & 41.06\% & 40.16\% & 39.12\% & 38.12\% \\ Operator benefit (million CNY) & 15.6235 & 15.9856 & 16.2992 & 16.6573 & 16.9736 \\ Government benefit (million CNY) & 18.4681 & 18.0497 & 17.7347 & 17.3737 & 17.0311 \\ Environmental benefit (million CNY) & 6.6978 & 6.6299 & 6.5750 & 6.5094 & 6.4574 \\ Social benefit (million CNY) & 13.1186 & 12.7419 & 12.4642 & 12.1426 & 11.8344 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Benefits of all participants after adjustment of prices. Figure 4: Changes in the benefits and number of shared travelers with pricing. Since the charging strategy is the most direct factor affecting the user's travel choice, the daily shared travel situation will not change if the pricing is unchanged. From the formulas of environmental and social benefit, it can be known that the benefit values are mainly related to the travel situation. Only adjusting the subsidies will not cause significant changes in their values, so the two items are not included in Table 4 for analysis. If the prices remain the same, when the subsidy rates drop by 2%, the government's utility will increase by 0.13%, and the operator's income will decrease by 0.14%. Then the initiatives of the operator to improve services and scale up will be disrupted, which in turn will affect the sustainable development of the industry. Even if the government's utility improves due to the reduction of expenditures, it will be very unfavorable for the growth of environmental and social benefits in the long run. Similarly, an increase in the subsidy rate will increase government spending, affect the government's income level and investment in other areas, which may also adversely affect the economy and people's livelihood. At the moment of advancing electric energy to replace other energy sources, there is still resistance to the promotion of electric vehicles, and the promotion of electric vehicle sharing still needs to be explored. From the above analysis, we can find that game theory has great advantages in coordinating the interests of multiple subjects.