Continuous Nash equilibria
引入玩家拓扑空间替代测度空间,证明连续博弈存在连续纳什均衡,即相似特征的玩家选择相似行动,并讨论相关概念与技术问题。
A topological space of players is introduced (as opposed to a measure space of players). We prove the existence of continuous Nash equilibria for continuous games. Intuitively this result says that there is an equilibrium where players with similar characteristics choose similar actions. Conceptual and technical issues are discussed in relation to non-cooperative games in general and large games (games with an atomless measure space of players) in particular.