Subgame Credible Nash Equilibrium
Mehmet Mars Seven
我们提出了Subgame Credible Nash均衡(SCNE),这是用于多阶段游戏的子游戏完美纳什均衡(SPNE)的改进。 SCNE保留了SPNE的内部信誉要求 - 每个子游戏中的平衡行为 - 并在等效子游戏中增加了外部可信度要求:每当玩家规定的续展策略在等效子游戏中有所不同时,她自己的续展回报不得减少。 直觉是,可信的惩罚或承诺不应该严格伤害惩罚者相对于一个等效的无惩罚子游戏。 SCNE消除了自我伤害的惩罚或承诺,同时保持存在。 每个多阶段游戏都承认一个SCNE,如果每个阶段游戏都有独特的纳什均衡,SCNE是独一无二的。
We propose the Subgame Credible Nash Equilibrium (SCNE), a refinement of subgame perfect Nash equilibrium (SPNE) for multi-stage games. SCNE retains the internal credibility requirement of SPNE – equilibrium behavior in every subgame – and adds an external credibility requirement across equivalent subgames: whenever a player's prescribed continuation strategy differs across equivalent subgames, her own continuation payoff must not decrease. The intuition is that credible punishments or promises ...