For example, I might believe that it's equally likely that they choose Left and Right, is that right?

举个例子吧,我可能认为他选择,左和右的可能性是相同的,对吗

耶鲁公开课 - 博弈论课程节选

What probabilities are associated with thinking it's twice as likely they're going to choose Left than Right?

那么在选左是选右的可能性的二倍时,选择每个策略的概率是多少呢

耶鲁公开课 - 博弈论课程节选

All of you chose Down, but Up does best against Left and Middle does best against Right.

你们都选择下,可是选上是左的最佳对策,而选中是右的最佳对策

耶鲁公开课 - 博弈论课程节选

So what's my expected payoff from choosing Up where I believe the other person's going to choose Left and Right, equally likely? It's what?

那么在我对手选择左或右,可能性相同的情况下,我的预期收益会是什么样的呢

耶鲁公开课 - 博弈论课程节选

I might not be sure whether the opponent, whether my opponent, is choosing Left or Right.

我可能不太确定,我的对手会选择左还是右

耶鲁公开课 - 博弈论课程节选

Let's look at my payoffs from choosing these three options Up, Middle, and Down, if I think it's equally likely that my opponent will choose Left and Right.

我们来看一下我从上中下这三个策略中,分别能获得什么样的收益,如果我认为我对手,选择左或右的可能性相同

耶鲁公开课 - 博弈论课程节选

So it turns out that, as the gentleman out there said, if I thought it was equally likely that my opponent was going to choose Left or Right, then actually my best choice, my best response is to choose Down.

这个结果和刚才那位先生说的,如果我觉得我对手,选择左或右的可能性相同的话,这时候最好的选择,也就是说我的最佳对策是选下

耶鲁公开课 - 博弈论课程节选

Player II has three choices left, center, and right, represented by the left, center, and right column in the matrix.

参与人II有三种选择,左中右,用矩阵的左中右三列来表示

耶鲁公开课 - 博弈论课程节选

For instance, if Player II picks left then Player I wants to pick bottom, but if Player II picks center, Player I wants to pick center.

例如,参与者II选择左,参与者I会选择下,但是若参与者II选择中,参与者I会选择中

耶鲁公开课 - 博弈论课程节选

This is the payoff to Player I of choosing Middle against Left.

这条线表示参与人I在对手选右时,选择左而获得的收益

耶鲁公开课 - 博弈论课程节选

It involves two players and we'll call the Players I and II and Player I has two choices, top and bottom, and Player II has three choices left, center, and right.

此博弈有两个参与人,分别为I和II,参与人I有两个选择,上和下,参与人II有三个选择,左中右

耶鲁公开课 - 博弈论课程节选