Research on the game behavior over complex networks

Abstract With the development of computer technology, people gradually begin to model and study complex networks. Lots of research fruits are applied in biological networks, social networks, etc. Although the relationships between nodes and edges in complex networks have similar structural characteristics, the dynamics behaviors over these networks may reflect different performances. To explore the performances, we study the game behavior on the complex network. The impact of different initial strategy densities on the average benefits for collaborators and betrayers is simulated and analyzed. Moreover, the equilibrium density of both BA scale-free network and stochastic network is simulated under different conditions. In the end, the equilibrium density of the prisoner's dilemma between the two networks is simulated and compared. The fruits of our research will be conductive to the applications in many complex network systems.