Network Evolution Game Under Information Propagation: Model Construction And Computational Experiment

Economic development is always closely related to the degree of cooperation.Historical experience shows that the higher the density and degree of cooperation among economic subjects in the economic system,the better the indicators of economic growth;vice versa.Therefore,the formation and maintenance mechanism of cooperation is a research issue of great practical significance.The evolution of cooperation is also considered to be one of the most challenging 125 scientific problems.Since the 21st century,network evolutionary game theory has gradually developed into a new research framework to study the phenomenon of cooperation.This theory abstracts the social relationship between economic subjects as a network,abstracts the interaction process between subjects as a game model,and updates the strategies of the subjects themselves in an evolutionary way,so as to explore the problem of cooperation in a more realistic way.Traditional network evolutionary game research focuses on the interaction process in the game and the strategy renewal process after the game.However,in practice,there is often a communication and pre judgment process between subjects before the game,which may have an important impact on the game results.The main innovation of this paper is that the communication and pre judgment process before the game is introduced into the traditional research framework of network evolutionary game.Different from the existing research,we deal with the generation process and dissemination process of information differently,and simulate the subject’s cognitive process of information through belief generation function and evidence fusion function.Before the game,each subject will form the prediction of the game object,namely belief matching,according to the dissemination of information and combined with their own cognitive ability.Then,the group carries out game interaction and strategy evolution.Through this new research framework,we examine the effects of belief matching,information dissemination and cognitive ability on cooperation.Specifically,this paper constructs three models: one is the belief matching network game model based on information dissemination;Second,belief matching network game model under evidence theory;The third is the small world network game model under the heterogeneous information dissemination.Firstly,we make a theoretical analysis of the model under the condition of mean field,and then verify the model by computational experiment.The main conclusion of this paper is that the belief matching process before the game has an important impact on the formation and maintenance of cooperation.The breadth of information dissemination and the accuracy of game players’ cognition of information can effectively promote the formation of cooperation.At the same time,the richer the decision-making information,the higher the degree of cooperation.In general,by considering the communication and prediction process before the game,we provide a new explanation for explaining and discovering the formation and maintenance mechanism of cooperation.