Correlation Between The Topological Properties Of Complex Networks And The Evolution Of Cooperation

Complex networks are used to describe theories that explain the various relationships between nature and human society,and they play an important role in helping us understand complex systems.As is well known,cooperation is a widely studied feature of human and animal societies,especially in human societies with organized cooperative interactions.The problem of cooperation evolution on complex networks is a hot topic in recent years,particularly,various factors affecting the evolution of cooperation have become focus in various fields.Based on the previous researches on factors affecting individual cooperative behavior,in this paper,we discussed the impact of network heterogeneity and other topological properties on cooperative evolution which based on complex systems.In this paper,we mainly discuss the effects of network heterogeneity,average degree,dilemma strength,selection intensity and other parameters on individual cooperative behavior.Firstly,we introduce the basis theoretical and basis of the research,including the topological properties and model of network.Besides,we describe the statistical characteristics of complex networks and related theories of evolutionary games systematically.Then,based on the acquired system knowledge,we define the concept of heterogeneity which required in our study and construct a corresponding heterogeneous random network model as our simulation system.we adopt the prisoner's dilemma game and the snowdrift game models,which have been studied in different types of network,and use Fermi rule as the dynamic model to obtain the influence of some network topological properties on cooperative evolution.First,we find that high heterogeneity can enhance the survival ability of individuals in the system and promote the evolution of cooperation.Next,some topological properties of network have the same influence,such as the clustering coefficient and the average path length.But the average degree has disadvantageous on the evolution of cooperation.Then,we study the impact of the dilemma strength related to the income because of the different matrix payoff in different models.We find that the greater the dilemma strength,the greater the temptation of betrayal for the individual,and many individual tending to choose the strategy of defect that conducive the survival of defectors.Besides,the selection intensity in the Fermi rule dynamics and the initial condition also promote the cooperation evolution.