How do we find the Nash Equilibrium?

我们如何找到纳什均衡？

Okay, it's someone named Martin Nash. Yeah!

好吧, 这是一个叫马丁·纳什的人。 是的!

And do you want a special memorial service in the Nash Church opposite Broadcasting House or has that faded now?

你是否希望在广播大楼对面的纳什教堂举行一场特别的纪念仪式？还是说现在这种想法已经淡去了？

So the Nash Equilibrium in this game is quit 1, fight 2.

，这场弈的纳什均衡是：我方选择退出1，对方选择战2。

The Nash Equilibrium is as follows.

纳什均衡如下。

Once again, we want to find out what the Nash Equilibrium is in this game and our method is exactly the same.

再次，我们想找出这个游戏的纳什均衡是什么，我们的方法完全相同。

The Nash Equilibrium (Dd, R) corresponds to the one we found by backward induction.

纳什均衡 (Dd, R) 与我们通过逆向归纳法发现的均衡相对应。

Let's try and find out the Nash Equilibrium of this game.

让我们尝试找出这场游戏的纳什均衡。

So now, can everyone see why there's not going to be a Nash Equilibrium in pure strategies?

那么现在，大家能明白为什么纯策略中不会出现纳什均衡吗？

So, here we've concluded that the Nash Equilibrium of this game is down right, a very particular prediction, but notice a perfectly rational player could here, could choose middle.

所以，我们在这里得出结，这个游戏的纳什均衡是正确的，这是一个非常特殊的预测，但请注意，一个完全理性的玩家可以在这里选择中间方案。

We solved for the Nash Equilibrium in the sub-game.

我们在子游戏中求解了纳什均衡。

So Beatrice won this election, is this array a Nash Equilibrium?

那么比阿特丽斯赢得了这次选举，这个阵列是纳什均衡吗？

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

现在，我需要另一块棋盘；我想找出这个游戏的纳什均衡。

So what I'm going to do is I'm going to show you that this will in fact be a Nash Equilibrium by showing you payoffs.

所以我要做的是通过向你展示收益来证明这实际上是一个纳什均衡。

Of course the fight doesn't take place: out followed by " we would have fought had you entered." So these are the Nash Equilibria.

当然，战不会发生：出局后紧接着是“如果你进来，我们就会战。 ” 所以这些就是纳什均衡。

Here's a - c over 2b and here's a - c over b. So this is the total quantity produced on this equilibrium, in this Cournot Nash Equilibrium.

这是 a - c 除以 2b， 这是 a - c 除以 b。这就是在古诺纳什均衡中， 均衡状态下的总产量。

So now, let's find the Nash Equilibrium in this game.

那么现在，让我们找到这个游戏的纳什均衡。

What was our sophisticated mathematical technique for finding the Nash Equilibria on this game?

我们在这个游戏中寻找纳什均衡的复杂数学技术是什么？

The reason it helps is you're trying to coordinate onto a Nash Equilibrium.

它之所以有帮助，是为你试图协调纳什均衡。

If you just mechanically find the Nash Equilibria in a game, you're going to find people choosing actions that, if they ever were called upon to make them, are silly.

如果你只是机械地在游戏中寻找纳什均衡，你会发现人们选择的行为（如果他们被要求做出这些行为的话）是愚蠢的。