Study Of Evolutionary Game Theory On Dynamic Scale-free Network

In real life, there exists interaction between human beings involving more than two individuals in most cases. Expanding the original two-person snowdrift game, we study the N-person snowdrift game model. According to many relative papers, it can be found that there is little investigation focusing on multi-person game on dynamical complex networks, thus it has a broad research prospect. Actually, players have freedom to choose which one they want to compete with. We should take into the players’ consciousness of self-selection when establishing the game model. Based on this fact, we introduce the link rewiring mechanism to study the cooperation in the N-person evolutionary snowdrift game(NESG). In the process of game, if a cooperator interacts with a defector in the group, she will be dissatisfied with that defector, and break the link with the defector by proportional selection, then rewiring being attempted to a neighbor of the defector with proportional to its degree. The result indicates that the level of cooperation is significantly enhanced when compared to that of the static NESG and results in highly heterogeneous network with the exponent of power-law degree distribution. We also find that when the agents update their network connection infrequently, defection will thrive.