But first, let me explain a little about the game.

VOA: special.2009.04.12

If you travel around in Greek cities throughout the Ancient Mediterranean, you can see where they've carved little game boards into flagstones of different temples or buildings, in Greek cities.

如果你周游古地中海地区的希腊城市，就会发现他们在各类神庙,或建筑的石板上，刻有小型游戏棋盘。

耶鲁公开课 - 新约课程节选

So we can play a final little game here by thinking about having somebody sitting in a room planning to reach up into the left.

这样，我们最后来做一个小游戏,大家想象有人坐在房间里,想要够到左边。

斯坦福公开课 - 7个颠覆你思想的演讲课程节选

This is a little game--and again, don't be overwhelmed by the complexity.

这是一个小游戏，不要被它的复杂性搞晕。

哈佛公开课 - 计算机科学课程节选

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

I mean, one thing--I play a fair amount of I play a little bit of poker and I'm very interested in the game.

举个例子说，有一件事情-我自己也玩的很多,我会玩一点扑克,而且我对这个游戏非常感兴趣。

耶鲁公开课 - 金融市场课程节选

Instead, we will again play a little game.

可惜，我只能再次演示一下。

斯坦福公开课 - 7个颠覆你思想的演讲课程节选

Now we can play a little game.

现在我们来做个游戏。

斯坦福公开课 - 7个颠覆你思想的演讲课程节选

So we're getting a little bit further away from the game and more back into the real world.

我们有点扯远了,回到正题上来吧

耶鲁公开课 - 博弈论课程节选

Now for the hacker edition, if you are feeling up to a bit more of a challenge you'll find that when you run the game, one it's not all that hard to use some ASCII art just make it a little fancier as the teaching fellow who implemented this solution did.

对于升级版，如果你能应付更大的,挑战，你会发现当你在玩这个游戏时，用一些字符画把它做得,比那些教学人员做的更有新意,并不是那么困难。

哈佛公开课 - 计算机科学课程节选

It doesn't matter if we finish a little bit early, but I want to try to get this game at least started.

不管能不能提前下课了,还是先开始这个游戏吧

耶鲁公开课 - 博弈论课程节选

The week after we implemented the so-called game of 15, this little party favor where you move the numbers up, down, left or right.

到第三周，我们要编一个叫做“15”的游戏，就是经常在派对上玩的,可以把数字上，下，左，右移动的小游戏。

哈佛公开课 - 计算机科学课程节选

What I want to do is I want to draw a picture, a little bit like we did for the partnership game.

下面我来画出函数图像,这与合伙人博弈的有点像

耶鲁公开课 - 博弈论课程节选

So just to motivate this a little bit, so there's two reasons why this game is interesting.

所以各位不必担心学不会了,这个博弈之所以有趣有两个原因

耶鲁公开课 - 博弈论课程节选

So there's a little worry going in about not just this example but about the course, about the whole theme of learning Game Theory.

所以不仅担心这个例子,也会担心这个课程,担心博弈论整个理论

耶鲁公开课 - 博弈论课程节选

I know this might be changing the game a little bit, but if you ever expected to play the same game with the partner you have more.

我知道这可能会稍微改变点这个博弈,但是如果你认为以后你还会,和你的对手进行相同博弈

耶鲁公开课 - 博弈论课程节选

This game's a little bit harder to get communication to work.

在这个博弈中交流更困难一些

耶鲁公开课 - 博弈论课程节选

This is a game where you get a little plastic device, it's got 15 plastic numbers on it and one hole in this little plastic board and you can move those numbers up, down, left to right, and the goal is to take what's a random assortment of tiles and arrange them in numeric order and that's one of these little things you can play sort of absentmindedly.

在这个游戏中，你会拿到一个可塑的装置，上面有15个数字和一个孔,你可以将数字上下移动，左右移动，目标就是,拿到一个随机的组合后,将其按数字顺序排列,这个你可以随便玩玩。

哈佛公开课 - 计算机科学课程节选

So what I want to do is, I want to lay this out a little bit more formally as a game, since we haven't done anything like this for a week or so, we're going to play the game.

我想做的是,把这个安排得更正式一点 就像博弈一样,因为我们已经大约一个星期没有这样做了,我们将做这个博弈

耶鲁公开课 - 博弈论课程节选

Why is it that when we see these law partners, or medical partners, or whatever it happens to be, or students together on a homework assignment, why is it we tend to get inefficiently little effort when we start figuring out the strategy and working through the game?

为什么这些律师事务所的律师,医疗合伙人或者其他类似的机构,还有一起做作业的学生,当我们研究过这些策略和博弈后,为何这样的组合往往是收效甚微的

耶鲁公开课 - 博弈论课程节选

- And lastly, you might have recalled the Fruit-craft RPG game that we played briefly with the little man that moves up and down, left and right and collects like oranges and apples and then brings them into the store.

最后，我需要你们回想一下之前玩过的一个游戏,“Fruit-craft，RPG“，我们只需要让那个小人,上上下下，左左右右地移动，收集桔子啊，苹果啊等等,然后把它们送到仓库里去。

哈佛公开课 - 计算机科学课程节选

Actually, we can do it a little better than that, since we know the game is symmetric, we know that S1* is actually equal to S2*.

实际上我们能得出更多,因为我们知道这个博弈是对称的,我们知道S1*=S2

耶鲁公开课 - 博弈论课程节选

While we're here, our third notation for strategy, I'm going to use little "s" without an "i," no subscripts: little "s" without an "i," to mean a particular play of the game.

说到这,我们来定义第三个标记符,我们用不带下标的小写s,来表示某一次博弈

耶鲁公开课 - 博弈论课程节选