Dynamical and Topological effect to Promotion of Cooperation in Coevolutionary Public Goods Game on Complex Networks

An important subject in the evolutionary game theory is to understand how cooperation arises. The subject has been extensively studied especially in Prisoners' dilemma game(PD) but the emergence of cooperation is also an important subject in public goods game(PGG). In this article, we consider coevolutionary PGG on complex networks where both the topology of the networks and strategies under the influence of game dynamics varies. The cooperators contribute a fixed amount per member of the group in PGG of this article. We study what effects on the evolution of player's strategies and the average payoff do the interaction between the game dynamics and the network topology bring. Moreover by comparing the models that do not depend on game dynamics to the models without topology changing, we intend to uncover the effect of the topology change and the game dynamics on the promotion of the cooperation. Furthermore we study how do the topology of initial networks have an influence on the average payoff and degree distribution.