## 5 Numerical Simulations
### Effects of Parameter Changes on Evolutionary Stable Strategy Combinations
We can also find that changes in local government subsidies have a smaller impact on the public's strategies, which is inconsistent with the conclusion of Proposition  
It can be seen from Figure 6 that the lower illegal punishment by the local government will also cause green smart supply chain enterprises to choose to respond negatively. With the increase in illegal punishment, green smart supply chain enterprises will choose to actively respond, and the evolution speed will increase. It can be seen that the response of green smart supply chain enterprises to punishment is positive; punishment is not the ultimate goal of the local government, the government's expected goal is to mobilize the enthusiasm of green smart supply chain enterprises and the public. However, too mild punishment may worsen the situation and cause deadweight loss of social welfare, while excessive punishment will lead to the inaction of green smart supply chain enterprises, resulting in an insufficient supply of market necessities. It can be seen that local governments can accurately grasp the thresholds of punishment and subsidy in different periods, and they can achieve better governance effects in the process of emergency management. Figure 10: The influence of the change of \(C_{\rm G}^{\rm G}\) on the evolution of each subject’s strategy under Scenario 2(a) (keeping other parameters unchanged, let \(C_{\rm G}^{\rm G}=\{10,15,41\}\)). Figure 9: The influence of the change of \(R_{G}\) on the evolution of each subject’s strategy under Scenario 2(a) (keeping other parameters unchanged, let \(R_{G}=\{5,9,37\}\)). 1.2 Transformation from Steady State \(O_{7}(0,1,1)\) to Ideal Steady State \(O_{6}(1,0,1)\) and Sensitivity Analysis of Related Parameters  
The parameters are set as follows when Scenario 2(a) is satisfied (the parameter satisfies the \(O_{7}\) equilibrium point condition):\(R_{S}^{G}=6,C_{S}^{G}=6,R_{SS}=3,V_{AB}=5.2\), \(V_{PB}=8,C_{S}=10\)\(C_{G}=4,\omega_{1}=0.2,C_{P}=5,C_{G}^{G}=10,R_{U}=12,R_{-U}=15,R_{G}=9\). The initial parameter settings satisfy the following three conditions mentioned in Scenario 2(a): \(-R_{S}^{G}-C_{G}\)\(>-C_{G}^{G}-R_{-U}\), \(C_{P}\)\(<\)\((1-\omega_{1})V_{AB}\) and \(R_{S}^{G}-C_{S}\)\(<\)\(R_{SS}-C_{S}^{G}\). Its stabilization condition from the equilibrium condition of Scenario 2(a) to the ideal equilibrium point can be achieved by adjusting the parameters. (1) Considering the effect of \(C_{G}\) and \(\omega_{1}\), realizing the transition from \(O_{7}(0,1,1)\) to \(O_{6}(1,0,1)\), and studying the effect of \(C_{G}\) and \(\omega_{1}\) on the evolution of each subject's strategy, at this point, keeping the other parameters constant and letting \(C_{G}=\{4,8,15\}:\omega_{1}=\{0.2,0.39,0.6\}\), we obtain Figure 7. (2) Considering the effect of \(R_{SS}\) and \(V_{PB}\), realizing the transition from \(O_{7}(0,1,1)\) to \(O_{6}(1,0,1)\), and studying the effect of \(R_{SS}\) and \(V_{PB}\) on the evolution of each subject's strategy, at this point, keeping  
Figure 11: The influence of the change of \(R_{G}\) on the evolution of each subject’s strategy under Scenario 3(a) (keeping other parameters unchanged, let \(R_{G}=\{5,9,37\}\)). Figure 12: The influence of the change of \(C_{G}^{G}\) on the evolution of each subject’s strategy under Scenario 3(a) (keeping other parameters unchanged, let \(C_{G}^{G}=\{10,15,41\}\)). the other parameters constant and letting \(R_{SS}=\{3,2,1\}:V_{PB}=\{8,6,5.5\}\), we obtain Figure 8.  
As can be seen from Table 4, from satisfying Condition 4 to satisfying Condition 3, \(C_{G}\uparrow\) and \(\omega_{1}\uparrow\) or \(R_{SS}\downarrow\) and \(V_{PB}\downarrow\) can be transformed from stable state \(O_{7}(0,1,1)\) to ideal stable state \(O_{6}(1,0,1)\), the evolutionary stability strategy of green smart supply chain enterprises is from x=0 to x=1, and the evolutionary stability strategy of the public is from \(y=1\) to \(y=0\), as shown in Figures 7 and 8.