Evolutionary Game Behavior Of Heterogeneous Groups

Different participants may adopt different strategies even when they are in the same situation. Recently, the study on evolutionary games in heterogeneous groups becomes a hot and important research topic. In this thesis, the main work is to investigate the evolutionary game behavior of heterogeneous groups in the iterated prisoner's dilemma game and the public goods game. In chapter 1, we firstly give a brief review on the evolutionary game theory and the network models, and then introduce the research achievements of evolutionary game dynamics on complex networks. In chapter 2, we propose an evolutionary game model with heterogeneous groups in the iterated prisoner's dilemma game, where different types of ZD strategies are introduced into the evolutionary game on the square lattice network, NW small-world network and BA scale-free network, respectively. We study the maintenance of the heterogeneity in groups by numerical simulations. It is found that the greater the coefficient of extortion, the more likely the system maintains heterogeneity, within a certain range. Besides, we find the network topology has an important effect on the maintenance of the heterogeneity.In chapter 3, we investigate the public goods games in heterogeneous systems, consisting of individuals with different degree of cooperation.We explicitly discuss the influence of the game scale and the synergy factor on the maintenance of heterogeneity. It is found that a game with uncertainty scale will promote the maintenance of the heterogeneity.However, the heterogeneity cannot be maintained in the public goods game with fixed scale. Furthermore, we find that the number of the remaining types is a non-monotonic function of synergy factor. There is an optimal synergy factor that can keep the heterogeneity best, which results in the largest number of the remaining species in the groups, and a balanced distribution of each type of species. In the last chapter, we summarize the results of our investigations.