Co-evolution of cooperation with resource allocation in spatial multigame using switching control

Abstract

In reality, complicated situations usually include multiple game scenarios, which cannot be effectively described by a single game model. Hence, how to model and reveal the cooperative behaviors in complex multiple game environments is a meaningful topic. In this article, by using switching control, a spatial multigame model with reciprocal reward and reputation mechanism is proposed, where a specific game scenario at each time step is determined by current individuals’ behaviors and the game type. Besides, the allocation of limited resources is co-evolved with the evolution of cooperation, which can be regarded as the results of the game and meanwhile affect the while game processes. The evolution dynamics of the proposed model is detailly discussed and the mutual influence of reputation mechanism, reward reciprocity and resource allocation on cooperative behaviors is quantitatively studied. Finally, in order to illustrate the robustness of the analyzed results, its impact on the cooperative behaviors in single PD and SD games are comparatively discussed.