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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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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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  −
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:E(''S'',''S'') ≥ E(''T'',''S'')
      
E(S,S) ≥ E(T,S)
 
E(S,S) ≥ E(T,S)
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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:
 
E(S,S) ≥ E(T,S)
 
E(S,S) ≥ E(T,S)
  
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