Aspiration-based co-evolution of cooperation with resource allocation on interdependent networks

In order to reveal the underlying mechanism of aspiration on cooperation with resource allocation, in this article, an aspiration-based game model on interdependent networks is proposed, where the risk-averse voluntary players are introduced into the game model. Each player has a self-adaptive aspiration tuned by the obtained payoff, which will be evolving with cooperation. In reality, limited resources are always related to games. The allocation of resources is generally decided by the results of games and in turn affects the choice of game strategies. Here, limited resources as a co-evolutionary factor is also involved in the proposed model, which exerts influence on the aspiration of players. Based on the prisoner's dilemma, the evolutionary dynamics of the proposed model is discussed in detail. As the results, the self-adaptive aspiration mechanism can significantly improve the level of cooperation. Meanwhile, both the strength of interdependence and the quantity of resources owned by players have great influence on the choice of game strategies. Interestingly, players with higher resources and aspirations are mostly located in the centers of cooperator (loner) strategy clusters. Moreover, based on the proposed game model, public good game and snow game are also implemented to verify the robustness of the results.