Refinements of Nash equilibrium in potential games
证明了上半连续势博弈中存在纯策略颤抖手完美均衡,并表明一般势博弈具有纯策略严格完美和本质均衡,还发现势最大化集合包含一个纯策略纳什均衡的战略稳定集。
We prove the existence of a pure-strategy trembling-hand perfect equilibrium in upper semicontinuous potential games, and we show that generic potential games possess pure-strategy strictly perfect and essential equilibria. We also establish a more powerful result: the set of maximizers of an upper semicontinuous potential contains a strategically stable set of pure-strategy Nash equilibria.