What this parable really teaches us is that we do best to wait, we do best to consider the command, to consider all of the possible investment strategies.

这个寓言真正教会我们的是我们最好等着，我们最好仔细考虑要求，考虑所有可能的投资策略。

耶鲁公开课 - 弥尔顿课程节选

One tip about this, try to identify all the dominated strategies of all players before you delete, then delete.

这里有一个窍门,在剔除之前试着找出,所有参与人的劣势策略,然后再剔除它们

耶鲁公开课 - 博弈论课程节选

So in previous definitions, we've seen the qualifier, for all, be on the other player's strategy.

在以前的定义中,“对所有的”这个限定词,修饰的是其他参与人的策略

耶鲁公开课 - 博弈论课程节选

So we've now got all of the ingredients of the game: players, strategies, payoffs.

现在这个博弈的所有要素都有了,参与人,策略和收益

耶鲁公开课 - 博弈论课程节选

Try to identify all the dominated strategies of all players again, and then delete.

再次寻找所有,参与人的劣势策略,再剔除它们

耶鲁公开课 - 博弈论课程节选

We also saw in that numbers game last time that in some games, but by no means all games, in some games this process actually converges to a single choice.

我们同样可以发现,在某些博弈中,不是所有的博弈,迭代剔除劣势策略,最终会导致唯一的选择

耶鲁公开课 - 博弈论课程节选

The set of possible strategies of Player I.

即参与人i的所有可能策略的集合

耶鲁公开课 - 博弈论课程节选

So Player i's payoff "Ui," depends on all the choices in the class, in this case, including her own choice. Of course, a shorter way of writing that would be "Ui," it depends on the profile.

参与人i的收益Ui,由所有参与人的策略决定,当然也包括她自己的策略,简写应该是Ui,它由策略组合决定

耶鲁公开课 - 博弈论课程节选

I've deleted all the strategies that were best, that are never best responses for Player I and all the strategies that are never best responses for Player II, and what I've got left is that little box.

我剔除了所有策略,所有非参与人I最佳对策的策略,还有非参与人II最佳对策的策略,最后只剩下了这个小方格

耶鲁公开课 - 博弈论课程节选

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

耶鲁公开课 - 博弈论课程节选