The Research On Prisoner’s Dilemma Game On Complex Networks

Network evolutionary game theory provides a solid and reliable system framework for solving social problems,which uses network models to characterize game relationships between individuals,uses classic game models to describe individuals’ game situation,and uses game individuals strategy adjustment rules to simulate individual’s strategy changes.It becomes a powerful tool in explaining cooperative behavior between self-interested individuals,digging out dynamic mechanisms that support the emergence of cooperation,thinking about individual survival problems as well as exploring solutions to immigration issues.Based on the model of prisoner’s dilemma game on complex networks,this paper explores the emergence of cooperative behavior,the survival issues of individuals and the social integration of immigrants.Firstly,this paper puts forward monte carlo strategy update rules.It is affirmed that monte carlo rules have a positive effect on the emergence and stability of cooperative behavior through comparative experiments with three classic update rules and simulation experiments to simulate the invasion of defectors.In terms of sensitivity analysis,it can be proved that the formation of a high-cooperative society requires the support of sufficient social population,not a high initial cooperator density.Secondly,this paper introduces the death process and immigration process on the basic framework of prisoner’s dilemma game on complex networks,to study the survival of social individuals.It proves that there is a significant positive correlation between death and defective strategy by Pearson correlation coefficient,which confirms the importance of cooperation.Moreover,to some extent,the survival of the fittest contributes to the development and stability of the society.When immigration proceeds,cooperative behavior and individual behavioral coherence cannot only mitigate the harm of immigration to natives but also assist immigrants to adapt to the new social environment.Finally,this paper puts forward a game relationship update process which accommodates irrational behaviors of individuals,studying the social integration of immigrants in terms of the model of prisoner’s dilemma game based on the death process and immigration process on the dynamic network.It can be proved that dynamic society makes up for the deficiencies in the stability of static society in accepting immigrants by means of analysis of variance.In addition,the dynamic nature of the network and batch-by-batch immigration mode have both significantly improved society’s ability to accept immigrants.Ulteriorly,the ability of acceptance is also constrained by immigrant’s own cooperative behavior,the number of game relationships,as well as the social environment,social preferences and game experience of individuals.