## 4 Result and Discussion
### Stability Analysis
(**d**) is the case where \(H\) and \(I\) are less than zero; \(S\) and \(T\) are greater than zero. (**e**) is the case where \(H\), \(S\) and \(T\) are less than zero; \(I\) is greater than zero. (**f**) is the case where \(H\) and \(S\) are less than zero; \(I\) and \(T\) are greater than zero. (**g**) is the case where \(H\) and \(T\) are less than zero; \(I\) and \(S\) are greater than zero. (**h**) is the case where \(H\) is less than zero; \(I\), \(S\) and \(T\) are greater than zero. (**i**) is the case where \(H\) is greater than zero; \(I\), \(S\) and \(T\) are less than zero. (**j**) is the case where \(H\) and \(T\) are greater than zero; \(I\) and \(S\) are less than zero. (**k**) is the case where \(H\) and \(S\) are greater than zero; \(I\) and \(T\) are less than zero. (**l**) is the case where \(H\) and \(S\) are greater than zero; \(I\) is less than zero. (**m**) is the case where \(H\) and \(I\) are greater than zero; \(S\) and \(T\) are less than zero. (**n**) is the case where \(H\), \(I\) and \(T\) are greater than zero; \(S\) is less than zero. (**o**) is the case where \(H\), \(I\) and \(S\) are greater than zero; \(T\) is less than zero. (**p**) is the case where \(H\), \(I\), \(S\) and \(T\) are greater than zero. \(\bullet\) represents stable node; \(\bigstar\) represents saddle point; \(\bigstar\) represents instability point. Inference 2: When \(H<0\), \(T>0\), except for \(I>0\), \(S<0\), the evolutionary stability strategy of the system is (0,1). In the context of local government, when the resources consumed by strict supervision are excessive, and the perceived benefits of strict local government control are not as advantageous as those of relaxed supervision, local governments will choose the latter. When the pressure of external social supervision is excessive, and media and public opinion about coal mine pollution intensifies in the context of coal mining enterprises, the cost of not implementing intelligent construction rises significantly. Consequently, the enterprise is inclined to implement intelligent construction in its entirety. The final evolutionary stable strategy is [full implementation, deregulation], and the specific evolutionary trend is illustrated in Figure 3e,m,n. Situation 4: In the case of \(H<0\), \(I>0\), \(S<0\), \(T<0\), as illustrated in Figure 3f, the irregular region \(E_{1}E_{2}E_{4}E_{5}E_{1}\) is constituted by unstable points \(E_{1}\), \(E_{4}\) and saddle point \(E_{5}\), in addition to stable point \(E_{2}\). This region indicates that the evolution strategy of enterprise intelligent construction tends to a state of [not implemented, strict supervision], which is an 'adverse' stable state. The other irregular region comprises unstable points \(E_{1}\), \(E_{4}\), saddle points \(E_{5}\) and stable point \(E_{3}\). This region indicates the probability that the evolution strategy of enterprise intelligent construction tends to [full implemented, deregulation], an 'ideal' stable state. Situation 5: When \(H>0\), \(I<0\), \(S>0\), \(T<0\), as illustrated in Figure 3k, the irregular region \(E_{1}E_{2}E_{5}E_{3}E_{1}\) is constituted by unstable points \(E_{2}\), \(E_{3}\) and saddle points \(E_{5}\) and a stable point \(E_{1}\). This region indicates the probability that the evolution strategy of enterprise intelligent construction tends to the state of {no implementation, deregulation}. The other irregular region comprises unstable points \(E_{2}\) and \(E_{3}\), saddle point \(E_{5}\), and stable point \(E_{4}\). This region indicates the probability that the evolution strategy of enterprise intelligent construction tends to the state of {full implementation, strict supervision}. Inference 5: When \(HI<0\) and \(ST<0\), if \(H\) and \(S\) are of the same sign, there are two stable points in the system. When \(H<0\), the evolutionary stabilization strategies of the system are (1,0) and (0,1). When \(H>0\), the evolutionary stabilization strategies of the system are (0,0) and (1,1).