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添加18字节 、 2020年9月21日 (一) 00:31
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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均衡的改进式(关于两者的对比,见下一章节)。在纳什均衡中,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均衡:
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进化均衡策略是纳什均衡的改进式(关于两者的对比,见下一章节)。在纳什均衡中,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以获益,那么在这两人的游戏中,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均衡:
 
E(S,S) ≥ E(T,S)
 
E(S,S) ≥ E(T,S)
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In this definition, strategy T can be a neutral alternative to S (scoring equally well, but not better).  
 
In this definition, strategy T can be a neutral alternative to S (scoring equally well, but not better).  
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在这个定义中,策略T可以成为S的中性替代(即最后得分相同,但并不更好)。
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在这个定义中,策略T可以成为S的中性替代(即最后得分相同,但这已经是最好的结果了)。
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In words, this definition looks like this: The payoff of the first player when both players play strategy S is higher than (or equal to) the payoff of the first player when he changes to another strategy T and the second player keeps his strategy S  and the payoff of the first player when only his opponent changes his strategy to T is higher than his payoff in case that both of players change their strategies to T.
 
In words, this definition looks like this: The payoff of the first player when both players play strategy S is higher than (or equal to) the payoff of the first player when he changes to another strategy T and the second player keeps his strategy S  and the payoff of the first player when only his opponent changes his strategy to T is higher than his payoff in case that both of players change their strategies to T.
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换句话说,此定义还可以这么理解,当两个玩家都玩策略S时:1. 第一个玩家的收益要高于(或等于)当第一个玩家更改为策略T而第二个玩家保持策略S时的收益。2. 当第一个玩家的对手将策略更改为T时,第一个玩家自身的收益要大于他们两者都更改为策略T。
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换句话说,此定义还可以这么理解,当两个玩家都使用策略S时:1. 第一个玩家的收益要高于(或等于)当第一个玩家更改为策略T而第二个玩家保持策略S时的收益。2. 当第一个玩家的对手将策略更改为T时,第一个玩家自身的收益要大于他们两者都更改为策略T。
     
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