Research Of Evolutionary Game Theory In The Scale-free Networks

The phenomenon of cooperation in the real world is ubiquitous,because altruistic individuals will focus on group interests and secondary considerations of their own interests.Although this is inconsistent with the concept of "natural selection and survival of the fittest",it is in the overall development of society.In many aspects,everyone needs to show altruistic behaviors,such as environmental protection,public facilities construction,etc.Therefore,how to elaborate cooperative behavior and how to promote cooperation between self-interested individuals in the "1+1>2" era of mutual benefit behavior?This is a key issue studied in the integration of complex networks and evolutionary game theory.The evolutionary game on complex networks provides a theoretical framework for studying cooperative evolutionary behaviors.Nodes in the network are regarded as individual players.The edges in the network are regarded as inter-relationships between individuals,and the interaction between network structure and strategy evolution is studied.In recent years,complex networks have been studied extensively as an important branch of complex systems science.A large number of analyses have shown that the richness of the network structure in the real world has an important influence on the evolutionary game,and that the appropriate game returns also contribute to cooperative behavior.This paper analyzes the impact of evolutionary game in complex networks on the cooperative behavior from the two aspects of game and network.It uses the Hunt Stag Game model on the Scale-free Network as the research object,and conducts research around two central themes:First,from game gains.From the point of view,we study the influence of different income functions on cooperative behavior under Hunt Stag Game on BA scale-free network model,which shows that under cumulative returns,it can play a part in promoting cooperation behavior,and from individual average income and connectivity.The reason why the angle of the experimental result is produced is compared with the existing prisoner's dilemma game model,which further proves that the same benefit function under different game models has different promoting effects on cooperative behavior;the second is from the network model.In terms of angles,we study the effect of Hunt Stag Game on scale-free networks with degree sequences of geometric sequences on cooperative behavior,and compare it with BA scale-free network,which shows that there is no scale network due to geometric progression.There is no direct edge between the Hub nodes,so the cooperation behavior is inhibited,and the conclusion is illustrated through the method of simplifying the network model.This further shows that not all scale-free networks will promote the production of cooperative behaviors,and this paper provides some research ideas for the evolutionary game on network models whose degree sequences satisfy certain mathematical law.