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

So we're going to be doing political science or political science as it meets Game Theory for the rest of the day.

我们将在今天接下来的时间学习政治科学,亦即是政治和博弈论的结合

耶鲁公开课 - 博弈论课程节选

As a matter of fact, it costs an increasing amount to play the game when you look at the fees that are paid to investment managers and hedge funds.

事实上,当把付给投资经理,和对冲基金的费用都算进去的话,这个博弈的成本越来越高

耶鲁公开课 - 金融市场课程节选

But-- as my team was in the Michigan State game last Saturday, with me present, a very sad person you're looking at-- he was blown out, and on September 4th, 1870, there is yet another insurrection in Paris.

但是...,就像我们组上周六去参加密歇根州运会那样,就是因为有我这样的队员,有我这样的衰人参加...,他被打得满地找牙,在一八七零年九月四日,巴黎发生了另一场起义

耶鲁公开课 - 1871年后的法国课程节选

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

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

So in this game, the payoffs for this game are going to be as follows.

这个博弈的收益是这样的

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

And, as announced last time, the most important game is the penalty kick game.

正如我上次所说的,它就是罚点球

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

Game Theory is also used in biology and towards the middle of the semester we're actually going to see some examples of Game Theory as applied to evolution.

博弈论同样适用于生物学,在本学期期中的时候,我们会探讨一下,博弈论应用于生物进化论的案例

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

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

So in this case, the communication worked but am I right in thinking that the communication isn't such an instant solution as it was in the game we saw last time?

在这个博弈中,交流起到了作用,但是能说这和上一讲的博弈一样吗,交流并没能直接给出解决的方案

耶鲁公开课 - 博弈论课程节选

But please try and look at--somebody's not looking at it, because they're using it as a fan here-- So look at Game 1 and fill out that form for me, okay?

请大家看下游戏1 我知道有人没看,他们用那张纸扇风呢,快浏览下游戏1 然后填完 好吗

耶鲁公开课 - 博弈论课程节选

The payoffs in this game are as follows.

此博弈的收益如下

耶鲁公开课 - 博弈论课程节选