Statistical mechanics of spatial evolutionary games

Abstract

We discuss the long-run behavior of stochastic dynamics of many interacting\nplayers in spatial evolutionary games. In particular, we investigate the effect\nof the number of players and the noise level on the stochastic stability of\nNash equilibria. We discuss similarities and differences between systems of\ninteracting players maximizing their individual payoffs and particles\nminimizing their interaction energy. We use concepts and techniques of\nstatistical mechanics to study game-theoretic models. In order to obtain\nresults in the case of the so-called potential games, we analyze the\nthermodynamic limit of the appropriate models of interacting particles.\n