Many safety accidents accompany the rapid development of the construction industry. As an external binding force, the lack of supervision, anomie, and inefficiency of management in the building safety supervision department have hindered building safety levels. Therefore, we should seek effective regulatory methods. At the same time, we make a set of scientific and reasonable construction safety supervision mechanisms to restrain the behavior of supervision departments and construction enterprises [1]. This approach will be the direction of future government efforts.
Many scholars have used game theory to build building safety supervision models in recent years. Scholars have explored the evolutionary path of the main body strategies of government and enterprises. At the same time, they sort out the safety behaviors of construction companies under different equilibrium scenarios and expand and analyze the longterm mechanism to effectively reduce construction safety accidents. However, most researchers are limited to standard classical game theory and evolutionary games. They did not consider that the unstable accident hidden danger contained in the production system of the construction site is the potential cause of “disturbance” in the structure, function, and state of the construction safety accident chain. They ignore that accidents are formed due to the existence, accumulation, superposition, and loss of control of accident hazards. This is different from the dynamics of actual construction safety production governance. As a result, the game model cannot truly reflect the process of the constant adjustment of the complementary strategies of both parties with the change of the hidden danger of the accident. Therefore, scholars need to adopt a more reasonable method to discuss the issue of building safety supervision [2]. The differential game is to extend the game theory to continuoustime and fully consider the influence of the dynamic accumulation process of the hidden accident quantity in the construction site on the game. We can reveal the causes of construction safety accidents from the microscopic dimension. This makes up for the shortcomings of traditional game research.
This paper introduces the building safety performance appraisal system. At the same time, this paper builds a differential game model between the government and construction enterprises based on the analysis of hidden dangers of accidents [3]. This paper attempts to analyze the dynamic law of the influence of government regulatory factor endowment on the safety behavior of construction enterprises through research. The results of this paper provide helpful inspiration for the government to improve the building safety supervision policy.
Assumption 1: For any time
Hypothesis 2: The losses caused by safety accidents to local governments and construction enterprises are represented by the linear function of hidden dangers [5]. Assume that the loss caused by the safety accident to the local government is
Hypothesis 3: The superior government rewards and punishes the local government according to the construction safety performance [6]. The size of reward and punishment is represented by the linear function
The dynamic accident potential amount
The income of the construction unit can be divided into two parts: net income
The costs and expenses of the enterprise include: (1) The loss cost
The government revenue is mainly composed of three parts. The economic benefits created by the construction enterprises for the society
Government losses and costs include losses caused by security incidents to the government
We aim to obtain the continuous solution
By maximizing the righthand sides of equations (4) and (5) with respect to
Our purpose here is to understand the value function
In:
So:
Then there are:
We can obtain the feedback Nash equilibrium strategy
From equations (8) and (9), it can be known that
Influencing factors in differential game equilibrium
Equilibrium strategy  Parameter  Influence trend  Explain 



Increasing the proportion of building safety in the performance appraisal and reducing the investment in the management of hidden dangers of accidents will reduce the number of hidden risks of accidents on the construction site  

Increasing the intensity of punishment for illegal construction companies will stimulate the decline in the number of hidden accidents on the construction site  

The increase of illegal construction profits of construction enterprises will stimulate the rise of hidden dangers of accidents  

The increased importance of building safety in performance appraisal will increase the level of government safety supervision efforts  

Rising costs of building safety regulation will attenuate government safety regulation efforts  

The increase of reward and punishment coefficient will stimulate the enthusiasm of government safety supervision 
The article intuitively expounds on the evolution process of the differential game equilibrium strategy between the government and construction enterprises [10]. We calculate and analyze by assigning values to each variable. Where
Figure 2 shows the change in the number of hidden dangers of accidents in construction enterprises. The curve
Figure 3 shows the dynamic change of government building safety supervision efforts. The curve
This paper uses the differential game model of construction safety supervision to describe the behavioral characteristics, strategy selection, and equilibrium of the two main actors of the government and construction enterprises. Through numerical simulation, this paper makes the difference of the supervision effect under different parameters and obtains the following results. The hidden accident quantity
Influencing factors in differential game equilibrium
Equilibrium strategy  Parameter  Influence trend  Explain 



Increasing the proportion of building safety in the performance appraisal and reducing the investment in the management of hidden dangers of accidents will reduce the number of hidden risks of accidents on the construction site  

Increasing the intensity of punishment for illegal construction companies will stimulate the decline in the number of hidden accidents on the construction site  

The increase of illegal construction profits of construction enterprises will stimulate the rise of hidden dangers of accidents  

The increased importance of building safety in performance appraisal will increase the level of government safety supervision efforts  

Rising costs of building safety regulation will attenuate government safety regulation efforts  

The increase of reward and punishment coefficient will stimulate the enthusiasm of government safety supervision 
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