The White House consulted with Pakistani leaders leading up to the announcement of its new strategy, and the initial response has been positive.

VOA: standard.2009.03.29

We said players should never play a strategy that's never a best response to anything, so we threw those away.

我们学到了参与人不应该选择,非最佳对策的策略,应该剔除它们

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The more I did of my strategy, the more the other player did as a best response.

我如果采用付出更多努力的策略,其他参与人的最佳对策也是这样

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It was don't ever play a strategy that's not a best response to everything.

不要采用非最佳对策的策略

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There's a more general lesson here, and the more general lesson is, of course: do not choose a strategy that is never a best response to anything you could believe.

从中可以总结出一个更普遍的规律,这个普遍规律就是,不要选择一个在任何情况下,都不是最佳对策的策略

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I'm going to put down two different definitions of best response, one of which corresponds to best response to somebody else playing a particular strategy like left and right, and the other is just going to correspond to the more general idea of a best response to a belief.

我写出最佳对策的两种不同形式定义,一个是参与人针对对手策略的定义,比如这里的左路右路,另一个强调的是,最佳对策的广义上的定义

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We learned that in this game deleting strategies that are never best response, and then deleting strategies that are never best response to anything that is a best response and so on and so forth, yielded a single strategy for each player.

我们学到了在剔除,非最佳对策的策略后,要再剔除那些在对手最佳对策下,不是最佳对策的策略,以此类推,最后每个参与人都只有一个策略了

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So just rewriting, Player i's strategy, same thing, ?i is a best response.

我来写一下,参与人i的策略,和之前一样,?i是最佳对策

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I found out what Player I's best response was for every possible choice of Player II, and I found out what Player II's best response was for every possible strategy of Player I.

我发现了参与人I的最佳对策,取决于参与人II的可选策略,同时也发现,参与人II的最佳对策,取决于参与人I的可选策略

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The highest Player II ever chooses is 2, and the highest response that Player I ever makes to any strategy 2 or less is 6/4, so all these things bigger than 6/4 can go.

参与人II最大只会选策略2,参与人I针对这种情况下,最大只会选择6/4,即大于6/4的策略也会被剔除

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So strategy ?i is a best response to the strategy S-i of the other players if my payoff from choosing ?i against S-i, is weakly bigger than that from choosing Si' against S- i, and this better hold for all possible other strategies I could choose.

策略?i是其他参与人策略S-i的,最佳对策,如果此时我选?i的收益,弱优于此情况下选Si'的收益,这对于所有我可以选择的策略都成立

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