The Effect of Higher-order Structure on the Evolution of Cooperative Behavior on Scale-free Networks
In order to study the influence of higher-order structures on the evolution of cooperative behavior on scale-free networks,a network game model based on the Prisoner's Dilemma game is constructed.A second-order higher-order structure is introduced on the scale-free network,a tri-angular face game containing pairwise games is defined,and the higher-order structure parame-ters are used to link the pairwise game payoffs with the face game payoffs,and the influence of the higher-order structure on the evolution of cooperative behavior is analyzed through simulation experiments.The results show that when individuals with high connectivity prioritize cooperation and obtain high payoffs,other individuals with high connectivity will be prompted to choose co-operation,and once a stable"all-cooperative"triangular strategy structure is formed among indi-viduals,the payoffs of each cooperator can be significantly increased,which in turn promotes the emergence of cooperative behaviors.
second-order higher-order structurescale-free networkscooperative behaviorevo-lutionary game