Co-evolution of influence-based preferential selection and limited resource with multi-games on interdependent networks

In real life, some individuals generally have more influence than ordinary people. Their behaviors are easily learned by other individuals. In this article, we propose influence-based preferential selection multi-games model on interdependent networks, where influence of players as a factor to be considered is involved in multiple game models and coevolved with cooperation. By using of coupled lattices, the effect of the cooperative behaviors of the system is comprehensively studies. Besides, in real life, resources are always related to the outcome of game. The results in game generally determine the allocation of limited resources, which in turn affects the choice of strategy. Hence, limited resources as a co-evolutionary factor are also introduced into the game model, which mutual interacts with individual's strategy and influence. Based on multi-game model, the evolutionary dynamics of the model in detail is discussed. We find that the preferential selection mechanism based on influence can effectively improve the cooperative behaviors of the system, where the influence growth factor increases and the cooperation evolution also monotonously increases. Furthermore, the interdependent strength, sucker's payoff and the distribution of limited resources would have different effects on the dynamics of the system.