Convergence of potential networked evolutionary games

摘要

This paper considers when a potential networked evolutionary game (NEG) converges to a Nash equilibrium. First, based on the fundamental evolutionary equation, the profile dynamics of an NEG is revealed. Then we show that an NEG is potential, if the fundamental network game is. Finally, a sufficient condition for an NEG to converge to a Nash equilibrium is presented. An illustrative example is included to demonstrate the theoretical and numerical results.