It's really as if the game is being played where the only choices available on the table are 1 through 67.

就如同这游戏的可选项只有,1到67之间的数字了

耶鲁公开课 - 博弈论课程节选

We handed out again the game with the numbers, but just in case, let me just read out the game you played.

再来介绍一下这个数字游戏,但是以防万一,我来介绍下游戏规则

耶鲁公开课 - 博弈论课程节选

You played the game; I don't know if there's a videogame now, if people play games like this where London Bridge is Falling Down.

你们也玩过这个游戏吧,我不知道现在是不是有电子游戏了,如果有人玩过伦敦桥这个游戏

耶鲁公开课 - 生物医学工程探索课程节选

But the game here is gonna be played pretty much the same.

但这个游戏在开始时应该是相同的。

哈佛公开课 - 计算机科学课程节选

No, they didn't. Not initially at any rate, but notice as we played the game repeatedly, what happens?

我觉得绝对没有人会,但是注意下如果我们重复博弈会怎样呢

耶鲁公开课 - 博弈论课程节选

We've played it three times, Let's try and figure out what the equilibria looked like in this game.

我们做了三次,我们试着解决,此博弈中的均衡是什么样子

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

As we played the game repeatedly, we noticed that play seemed to converge down towards 1.

当我们不断地重复博弈,我们会发现最后会不断接近1

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

We're going to ask for the same grade game we played at the beginning.

我们来求成绩博弈在此情况下的结果

耶鲁公开课 - 博弈论课程节选

Now how do we think this game is going to be played?

下面来看看这次博弈讲如何进行的

耶鲁公开课 - 博弈论课程节选

Did people play Nash Equilibrium when we played that game?

谁在做这个游戏时就想到纳什均衡了吗

耶鲁公开课 - 博弈论课程节选

Let's just suppose that that game's just been played once for now.

假设我们正在进行这个博弈

耶鲁公开课 - 博弈论课程节选

So how do we think this game should be played?

大家认为这个博弈会如何进行下去

耶鲁公开课 - 博弈论课程节选

Let me read out the game you've just played.

我们回顾一下刚才进行的游戏

耶鲁公开课 - 博弈论课程节选

We played that game last time, right?

我们之前这样做过，对不？

哈佛公开课 - 计算机科学课程节选

So far we've looked at this game as played by people and we've looked at this game who are evil gits, as played by people who are indignant angels.

目前为止我们对这个博弈的分析,还停留在局中人都是饭桶恶魔,或者都是愤怒天使的阶段呢

耶鲁公开课 - 博弈论课程节选

Someone whose played the game, what's the other decision you really face?

有人要主罚点球了,他还要考虑什么别的因素吗

耶鲁公开课 - 博弈论课程节选

Let's go back to the game we played with the numbers.

那我们回到之前玩的数字游戏

耶鲁公开课 - 博弈论课程节选

Now, it turns out that this game, this Prisoner's Dilemma, with the Alpha's and Beta's, or essentially the same game, has been played many, many, many times in experiments.

实际上,囚徒困境这个博弈,比如选择α和β,或者类似的博弈,在现实中进行过很多次实验

耶鲁公开课 - 博弈论课程节选

Okay, so last time we looked at and played this game.

上节课我们做了这样一个游戏

耶鲁公开课 - 博弈论课程节选