-
Both firms are producing quantities; both firms are trying to maximize profit, and I want to find out the Nash Equilibrium.
两个公司都生产商品,都希望最大化利润,而我也想找出纳什均衡
-
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
-
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
-
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
-
So what we want to do is we want to figure out what the Nash Equilibrium looks like in this market.
我们想要做的是,找出这个市场的纳什均衡是什么
-
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
-
Say it again: if everyone chose 1, then everyone's best response would be to choose 1, so that would be a Nash Equilibrium.
重复一下,如果每个人都选了1,那么每个人的最佳对策也就是1,这就会成为纳什均衡
-
Now that's not always going to happen but it's kind of a nice feature about Nash Equilibrium.
虽然这不总会发生,但这也是纳什均衡的一个亮点
-
As an exercise in finding Nash Equilibrium, by this stage in the course most of you are looking at that saying, that wasn't hard.
作为寻找纳什均衡的一个练习,在此阶段,你们中的大多数人都会说,那不难
-
So this is the total quantity produced on this equilibrium, in this Cournot Nash Equilibrium.
这就是在古诺博弈中的,纳什均衡
-
So to find the Nash Equilibrium we're going to have to find best responses.
为了找到纳什均衡,我们必须找到最佳对策
-
Nash Equilibrium's going to be a huge idea from now to the mid-term exam and we're going to pick it up and see more examples on Wednesday.
纳什均衡是现在直到期中的重点内容,周三我们会学习更多的有关案例
-
Slightly harder exercise is to check that nothing else is a Nash Equilibrium.
稍微难点的问题是如何验证,没有其它的纳什均衡
-
Suppose Firm 1 is pricing at marginal cost is this a Nash Equilibrium?
假设公司1定价在边际成本,这是纳什均衡吗
-
Is there a Nash Equilibrium In which one and only one candidate stands?
有且只有一个,候选人参选是纳什均衡吗
-
The reason it helps is you're trying to coordinate onto a Nash Equilibrium.
因为你们都想通过协同达成纳什均衡
-
We know that if these players play these games, at least if we believe in Nash Equilibrium, then they're gonna produce these quantities, they're going to produce here.
我们知道如果这些参与人进行博弈,至少我觉得在纳什均衡条件下,他们会安排这样的产量
-
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
-
That's going to turn out to be what's called a Nash Equilibrium.
这一点就是传说中的纳什均衡
-
And then we're going to look at that Nash Equilibrium and you're going to think, how does that compare to what I saw in the Cournot case we solved.
最后再看一下那些纳什均衡,你们要去思考,那跟我们学过的,古诺模型比较有什么异同
-
So Beatrice won this election, is this array a Nash Equilibrium?
比阿特丽斯在选举中获胜获胜,这是一个纳什均衡吗
-
How do we always find Nash Equilibrium when we're not guessing?
不猜测的话我们怎么分析纳什均衡呢
-
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
-
What do I need to do find each firm's Nash Equilibrium?
我们怎样才能找出每家公司的纳什均衡呢
-
Somebody? Yeah, How do we know that's not a Nash Equilibrium?
谁来回答,我们怎么知道不是纳什均衡
-
So this must be the Nash Equilibrium, that wasn't hard, right?
这点就是纳什均衡了,这不难是吧
-
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
-
How many of you have heard the term Nash Equilibrium before?
有多少人听说过纳什均衡
-
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
-
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
应用推荐