Last time, we saw already, that this is a very powerful idea, in that game last time.

通过上节课的博弈,我们可以看出,这是个非常重要的概念

耶鲁公开课 - 博弈论课程节选

So in that game we played at the end last time, what were the set of strategies?

上节课我们最后做的游戏,策略的集合是什么样的呢

耶鲁公开课 - 博弈论课程节选

And so for the standard edition will you be implementing the mechanics of this game so that you can in fact play against yourself.

在标准版中，你可以为,该游戏实现这样的机制,这样，你就可以和自己对打。

哈佛公开课 - 计算机科学课程节选

There just aren't pricing anomalies that are significant that are going to resolve themselves in a matter of months or weeks and so it's a silly game to play.

显著失常的定价,不会在短短几月或几周内,就在市场中显示出来,因此类似月进月出那些是一种愚蠢的行为

耶鲁公开课 - 金融市场课程节选

So in that game, what's the Nash Equilibrium in that game?

那个数字游戏中的纳什均衡是什么

耶鲁公开课 - 博弈论课程节选

In that game, if you remember what the best responses looked like, they looked like this where this was the effort of Player 1; this was the effort of Player 2.

不知道你们还记不记得最佳对策是什么了,这条线代表参与人1的付出,这条代表参与人2的付出

耶鲁公开课 - 博弈论课程节选

Is that right? In this game, when we analyzed the game repeatedly, it seemed like our analysis converged towards the equilibrium.

没错吧,当我们反复分析这个博弈,我们的分析最后会趋近均衡

耶鲁公开课 - 博弈论课程节选

I admit I'm cheating a little bit here because I'm ignoring beliefs, but trust me that's okay in this game.

我承认我偷懒了,因为我忽略了信念,但请大家相信在这个博弈里面是可以的

耶鲁公开课 - 博弈论课程节选

How do we know that everyone choosing 1 is the Nash Equilibrium in the game where you all chose numbers?

我们怎么知道在那个数字游戏中,选择1就是这个博弈的均衡呢

耶鲁公开课 - 博弈论课程节选

Is the reason people behave badly-- I don't know "Badly"--people choose Alpha in this game here, is it the fact that they can't communicate?

人们之所以取得糟糕的结果,我不敢说结果是不是真的不好,但人们选α是因为不能交流吗

耶鲁公开课 - 博弈论课程节选

This game that's going on more or less right now in the primaries, well I guess the entry stage of it is gone now.

这个博弈在一定程度上,正在现在的总统初选中进行着,我猜是否要参选的阶段已经结束了

耶鲁公开课 - 博弈论课程节选

And there is no belief you could possibly hold given these numbers in this game that could ever rationalize shooting the ball to the middle.

在给出的这些数据下,无论你认为门将有多大概率会扑向右路,从中路射门绝对不是一个合理的选择

耶鲁公开课 - 博弈论课程节选

Now there's another way of organizing this that's standard in Game Theory, so we may as well get used to it now on the first day.

下面再用博弈论的标准方式来整理信息,从今天以后大家要习惯用这种标准

耶鲁公开课 - 博弈论课程节选

Now, in fact, that's as far as we can get with dominance arguments in this particular game, but nevertheless, let's just stick with it a second.

目前为止,这些就是我们通过,此博弈得到的全部与优势有关信息了,然而,我们来再深究一下

耶鲁公开课 - 博弈论课程节选

But if we played this game up in let's say the Divinity School, I'm guessing that Travis' answer is reflecting what you guys are reasoning here.

但是我们要是在神学院做此博弈,我猜特拉维斯的回答,反映了你们的理由

耶鲁公开课 - 博弈论课程节选

Well, as an exercise in game theory, that really wasn't very hard.

作为博弈论的一个练习,这个确实不难

耶鲁公开课 - 博弈论课程节选

And in this game if they keep on doing that, it's going to drag them back to Nash Equilibrium.

这个博弈,如果他们一直这样做,最终会达到纳什均衡的状态

耶鲁公开课 - 博弈论课程节选

We'll discuss this in a second, but why don't we actually record what the game is, that we're playing first.

一会再开始分析,我们先记录一下这个游戏的内容

耶鲁公开课 - 博弈论课程节选

But in the real world that's a sequential game, people decide to run in some order, we're going to assume this is all simultaneous.

但在现实生活中这是个有顺序的博弈,人们依照某种顺序决定是否参选,我们将假设这全是同时发生的

耶鲁公开课 - 博弈论课程节选

I promised that today we would look at the most important game in the world.

我说过今天我们将讨论,全世界最重要的一个赛事

耶鲁公开课 - 博弈论课程节选

This is an outcome matrix; this tells us everything that was in the game.

它是一个列出了博弈所有内容的矩阵

耶鲁公开课 - 博弈论课程节选