LAUSR

How to understand and control the individual choices and cooperative conflicts in multiagent systems is a cross-over study which edges into multiple disciplines. An interdisciplinary mathematical tool to theoretically study the issue of cooperative dilemma is evolutionary game theory. The assumption of graphs that maps social interactions provides a useful approach for studying the dynamics in gaming systems, where its theoretical analysis is drop behind simulations. Here we perform analysis on game dynamics in a spatially distributed system situating on multiple-community networks. In the context of the three paradigmatic game prototypes (dominating games, coexistence games, and the coordination games), the stability of the equilibrium state emerging from this is provided. Further investigation on multicommunity system reveals that the community structure plays a key role in the stability of the strategy evolution. Besides, our explorations toward the multiple strategies adopted by the population whose interactions include ${n}$ communities, certify that the payoff is crucial for individuals’ dominating superiority over others in the system. The results are expected to provide effective perspective to control the individual choice in large systems, and lend itself to multiple applications in control engineering perspective.