Strict pure strategy Nash equilibria in large finite‐player games
研究了匿名博弈中,当玩家数量很大时,有限玩家博弈通常存在严格纯策略纳什均衡,并证明非原子博弈的均衡分布可由大型有限博弈的纯策略均衡渐近实现。
In the context of anonymous games (i.e., games where the payoff of a player is, apart from his/her own action, determined by the distribution of the actions made by the other players), we present a model in which, generically (in a precise sense), finite‐player games have strict pure strategy Nash equilibria if the number of agents is large. A key feature of our model is that payoff functions have differentiability properties. A consequence of our existence result is that, in our model, equilibrium distributions of non‐atomic games are asymptotically implementable by pure strategy Nash equilibria of large finite‐player games.