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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
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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
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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
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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
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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
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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
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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
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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
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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
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Can I say the best response is the Nash Equilibrium?
这里的最佳对策是纳什均衡吗
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What's the Nash Equilibrium on this picture?
这个图像的纳什均衡在哪里
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Why is this the Nash Equilibrium?
为什么说这点就是纳什均衡呢
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Who remembers what the Nash Equilibrium is?
谁记得纳什均衡是什么
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It's going back to the Nash Equilibrium.
它会达到纳什均衡
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Somebody, what's the Nash Equilibrium?
谁来回答,纳什均衡是什么
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What's the Nash Equilibrium?
纳什均衡是什么
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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
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At C okay, so the Nash Equilibrium here, the Nash Equilibrium is for both firms to set their prices equal to marginal cost.
价格定在C,好的,所以这里的纳什均衡,纳什均衡是两家公司都把它们的价格,设定在边际成本
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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
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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
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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
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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
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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
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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
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How many of you have heard the term Nash Equilibrium before?
有多少人听说过纳什均衡
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And you're going to solve out the whole Nash Equilibrium.
并且你们要找到所有的纳什均衡
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