Manipulating the Degree Factor to Promote Cooperation in Network Evolutionary Game

Network structures with strong heterogeneity will be more helpful to the spread of cooperative strategies in evolutionary process. After increasing the benefits of betrayal strategies, networks with strong heterogeneity will better resist the intrusion of betrayers and maintain a higher level of cooperation. In this paper, we introduce a degree factor into the individual payoff to add the heterogeneity, so that individuals with high degrees will obtain higher benefits, while the income of individuals with low degrees will be reduced. In this way, the heterogeneity between individuals will be enhanced during the cooperative evolution of the network, so that the network can better resist the intrusion of betrayers.