Approximation and characterization of Nash equilibria of large games
研究了连续统玩家博弈的纳什均衡如何通过大型有限博弈的近似均衡来刻画,揭示了这两类博弈均衡集之间的精确关系,并给出了逼近结果。
Abstract We characterize Nash equilibria of games with a continuum of players in terms of approximate equilibria of large finite games. This characterization precisely describes the relationship between the equilibrium sets of the two classes of games. In particular, it yields several approximation results for Nash equilibria of games with a continuum of players, which roughly state that all finite-player games that are sufficiently close to a given game with a continuum of players have approximate equilibria that are close to a given Nash equilibrium of the non-atomic game.