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An ESS is a refined or modified form of a Nash equilibrium. (See the next section for examples which contrast the two.) In a Nash equilibrium, if all players adopt their respective parts, no player can benefit by switching to any alternative strategy. In a two player game, it is a strategy pair. Let E(S,T) represent the payoff for playing strategy S against strategy T.  The strategy pair (S, S) is a Nash equilibrium in a two player game if and only if this is true for both players and for all T≠S:
 
An ESS is a refined or modified form of a Nash equilibrium. (See the next section for examples which contrast the two.) In a Nash equilibrium, if all players adopt their respective parts, no player can benefit by switching to any alternative strategy. In a two player game, it is a strategy pair. Let E(S,T) represent the payoff for playing strategy S against strategy T.  The strategy pair (S, S) is a Nash equilibrium in a two player game if and only if this is true for both players and for all T≠S:
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斯洛文尼亚应用服务系统是纳什均衡点应用服务系统的改进或修改形式。(请参阅下一节中对比两者的例子。)在纳什均衡点游戏中,如果所有玩家都采用各自的角色,没有玩家可以通过切换到任何替代策略而获益。在两人博弈中,这是一对策略。设 e (s,t)表示策略 s 对策略 t 的收益。策略对(s,s)是双人博弈中的纳什均衡点对,当且仅当这对双方都成立且 t ≠ s 时:
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进化均衡策略是纳什平衡的改进式(关于两者的对比,见下一章节)。在纳什平衡中,如果所有参与者都采用各自的策略方案,且都无法通过改用任何其他策略而从中获益。那么在该两人游戏中,我们将此看作一个策略对。令E(S,T)表示策略S对策略T的收益。当且仅当双方都成立且所有T≠S时,策略对(S,S)为该两人游戏中的纳什平衡:
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E(S,S) ≥ E(T,S)
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:E(''S'',''S'') ≥ E(''T'',''S'')
 
:E(''S'',''S'') ≥ E(''T'',''S'')
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最后这个例子指出了纳什均衡和 ESS 之间的一个重要区别。纳什均衡是在策略集上定义的(每个参与者的策略规格) ,而 ESS 则是根据策略本身定义的。由 ESS 定义的平衡点必须总是对称的,因此平衡点较少。
 
最后这个例子指出了纳什均衡和 ESS 之间的一个重要区别。纳什均衡是在策略集上定义的(每个参与者的策略规格) ,而 ESS 则是根据策略本身定义的。由 ESS 定义的平衡点必须总是对称的,因此平衡点较少。
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== Vs. evolutionarily stable state ==
 
== Vs. evolutionarily stable state ==
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