Even though these best responses are pretty complicated it turns out that there's only one Nash Equilibrium in this game.

虽然最佳对策是很复杂的,在这个博弈中却只有一个纳什均衡

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 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

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

Now, I will need the other board; I want to figure out the Nash Equilibrium on this game.

我再找一块黑板来写板书,下面我们寻找这个博弈的纳什均衡

耶鲁公开课 - 博弈论课程节选

In the case of the Investor Game last week, every player preferred one equilibrium to the other.

比如上一讲投资博弈中,每个参与人都偏好同一个均衡

耶鲁公开课 - 博弈论课程节选

The reason is that the best response for Firm 1, So it turns out it's pretty to check that this is the only Nash Equilibrium in the game.

因为公司1的最佳对策,所以很容易验证,这是此博弈中唯一的纳什均衡

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

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

How do we know that's the Nash Equilibrium of that game?

我们怎么知道1是纳什均衡呢

耶鲁公开课 - 博弈论课程节选

The game I just put up, that's a trivial example, it didn't really matter which equilibrium we played here, we just wanted to play an equilibrium, is that right?

但是现在讨论的这个小案例呢,到底达成哪个均衡并不重要,重要的是我们要达成均衡,是这样吧

耶鲁公开课 - 博弈论课程节选

So this is the Nash Equilibrium in this Cournot game.

因此这点就是古诺博弈的纳什均衡了

耶鲁公开课 - 博弈论课程节选

Now, with this in hand, what I want to do is, and in Firm 2 I have a similar expression, what I want to do is, I want to figure out the Nash Equilibrium of this game.

知道它了以后,因为公司2的表达式也是相似的,接下来我们就可以尝试找出纳什均衡了

耶鲁公开课 - 博弈论课程节选