Stochastic evolution and equilibrium selection in n-person asymmetric coordination games

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Given a game with multiple equilibria, the equilibrium selection problem asks : Which equilibrium is, if any, most "stable"? To answer the question, an equilibrium selection model singles out an equilibrium by specifying and investigating the strategy adjustment process through which the players play the game. Employing the stochastic evolution approach, we examine the equilibrium selection problem in many-person games. In a sharp contrast to the previously known results for two-person games, we find that the selection outcome is very sensitive to the strategy adjustment process. In particular, the selection outcome under the adaptive play or the multi-population random matching may be radically different from that under the single population random matching.