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

We just understand that it's a numbers game.

我们知道那只是个数字游戏。

旧金山的售货员 - SpeakingMax英语口语达人

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

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

So it's just a numbers game.

所以，这只是个数字游戏。

旧金山的售货员 - SpeakingMax英语口语达人

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

So in the numbers game this is the spreadsheet -- or an example of this is the spreadsheet.

这就是数字游戏的电子表格,或者说这是其电子表格的一个样本

耶鲁公开课 - 博弈论课程节选

We used iterative deletion in a relatively abstract setting, or not abstract, rather a play setting last time in which were choosing numbers.

我们在相对抽象的背景下探讨迭代剔除,其实也没那么抽象,比如上一讲,我们做的选数字的游戏

耶鲁公开课 - 博弈论课程节选

Now then, I promised you we'd get back to the game from last time.

好吧,我承诺过会讲上节课的数字游戏

耶鲁公开课 - 博弈论课程节选

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

So in the numbers game what is this?

那么在数字游戏中它是怎样的呢

耶鲁公开课 - 博弈论课程节选

So we handed out again that game.

那我们再说一下那个数字游戏吧

耶鲁公开课 - 博弈论课程节选

I think what makes a difference is not only do you, yourselves, know better how to play this game now, but you also know that everybody around you knows better how to play the game.

我觉得因为不仅你们自己,玩这个数字游戏玩得更好了,你们也了解到周围的人,也玩得更高了

耶鲁公开课 - 博弈论课程节选

So in that numbers game, the game when all of you wrote down a number and handed it in at the end of last time, the players were who? The players were you. You'all were the players.

在那个数字游戏中,你们每个人都写下了一个数字,然后在下课前交了上来,谁是参与人呢,你们就是参与人

耶鲁公开课 - 博弈论课程节选

Even the game, when you chose numbers, you chose numbers 1, 2, 3, 4, 5, up to a 100, there were 100 strategies.

比如那个数字游戏,你能从1到100这100个数字中选择

耶鲁公开课 - 博弈论课程节选

So let's take those ideas and go back to the numbers game from last time.

那么我们带着这些方法,回到上次的数字游戏中

耶鲁公开课 - 博弈论课程节选

So an example in that game might have been choosing the number 13.

例如他在那个游戏里选择了数字13

耶鲁公开课 - 博弈论课程节选

Game 2: "Pick a number." everyone got this? Anyone not got this?

游戏2,"选数字",你们都有吧

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

In that numbers game it converged to 1.

在数字游戏中最后就只剩1了

耶鲁公开课 - 博弈论课程节选

But we also saw it's a dangerous idea to take too literally: that sometimes this can get you to over think the problem and actually, as in that numbers game last time, the best choice, the winning choice, might not involve so many rounds.

同时我们也发现过度照本宣科也不好,有时他会导致你,对于问题的过度探究,正如我们上次玩的数字游戏,最优选择,最后获胜的答案,有时不会绕那么多弯子

耶鲁公开课 - 博弈论课程节选

We played a game at the very end last time, where each of you chose a number - all of you chose a number - and we said the winner was going to be the person who gets closest to two-thirds of the average in the class.

我们在上节课最后做了一个游戏,你们每个人都选了一个数字,你们所有的人都选择了一个数字,选择的数字最接近全班,平均数的三分之二的人就是赢家

耶鲁公开课 - 博弈论课程节选