If my opponent chooses Beta and I choose Alpha, I get 3; Beta, I get 1. Once again Alpha is better.

如果我对手选β,我选α我得3,选β我得1,也是选α好

耶鲁公开课 - 博弈论课程节选

If my opponent chooses Alpha and I choose Alpha, I get 0; Beta, I get -1. So Alpha would be better.

如果我对手选α我选α,我得0,选β我得-1,选α更好

耶鲁公开课 - 博弈论课程节选

So by thinking about my opponent, by putting myself in my opponent's shoes, I realize that she has a dominant strategy, Alpha.

所以考虑到我的对手,站在她的立场上看,我发现她有一个优势策略α

耶鲁公开课 - 博弈论课程节选

It's much easier to figure out my own payoffs than to figure out my opponent's payoffs.

弄清自己的收益总是要比,弄清别人的收益要容易

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

While we're here, let's just mention that things will get more complicated in a world where I don't actually know the payoffs of my opponent.

现实中我并不知道,我对手的收益到底是什么样的,这会使事情变得更加复杂

耶鲁公开课 - 博弈论课程节选

So now we're comparing my choosing 1, when my opponent chooses 2, and the payoff I would get if I choose 2 when my opponent chooses 2.

当我选择立场1,而对手选择立场2时,或者如果我们都选择立场2,我的收益会是怎么样的

耶鲁公开课 - 博弈论课程节选

So what's my payoff if I choose 1 and my opponent chooses 2?

我选立场1对手选立场2我收益是什么

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

We had acknowledged that Alpha is a dominant strategy for my opponent so we must choose based upon, or knowing that my partner is going to choose Alpha.

我们发现了α是我们对手的优势策略,所以我们必须要根据,我对手会选α来做出选择

耶鲁公开课 - 博弈论课程节选

My opponent or my partner's payoffs come from the indignant angel matrix.

我的对手或者收益是愤怒天使的收益

耶鲁公开课 - 博弈论课程节选

And my opponent's payoffs are what would have been my payoffs before.

我对手的收益是,我上个博弈的收益

耶鲁公开课 - 博弈论课程节选

But look at my opponent. My opponent's Alpha dominates her Beta.

但是对我的对手来说,选α优于β

耶鲁公开课 - 博弈论课程节选

Again Alpha is better. For my opponent, alpha dominates Beta.

选α还是比β好,对我对手来说,α优于β

耶鲁公开课 - 博弈论课程节选

We have to consider other possible positions of my opponent.

我们还要考虑对手的其他选择

耶鲁公开课 - 博弈论课程节选

So what we're going to look at is the expected payoff of Up versus, let me call it a : a being equally likely that my opponent chooses Left and Right.

所以接下来我们看看在我认为对手,选择左右的可能性相同下的预期收益,我们把它称为

耶鲁公开课 - 博弈论课程节选

So suppose my opponent chooses 2.

假设他选择立场2

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