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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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And when my dad was here, he was in like, the sort of height of his crazy phase.
我父亲在这儿上学的时候，纳什的精神失常正处于最严重的阶段。
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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
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Sometimes you see it in Nashville playing with country music, that kind of thing.
你有时能见它在纳什维尔演奏乡村音乐,诸如此类
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I mean, there's John Nash who's the, well, I don't... I think he won a Nobel Prize.
有一个校友叫约翰·纳什，我也不确定他得没得诺贝尔奖。
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and then they have like a really good point guard named Steve Nash,
然后他们有个很不错的控球后卫叫史蒂夫纳什，
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But beyond that, we also have... it's a billion dollar,
但除此之外，纳什维尔也是有价值十亿美元、
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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
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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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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
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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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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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There were two well coordinated nash Equilibria although one was better than the other.
那个博弈有两个纳什均衡,尽管一个比另一个更好些
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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
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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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is there a Nash Equilibrium in which no candidates stand?
在没有候选人的时候是纳什均衡吗
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No. How do we know that's not a Nash Equilibrium?
不是,我们怎么知道不是纳什均衡
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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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One way to think about Nash equilibria is that they are self-enforcing agreements, so provided that everyone believes that everyone is going to go along with this agreement, then everyone in fact will.
我们可以这样理解纳什均衡,把它们想象成自我实施的协议,假设每个人都相信,大家都会遵守协议,那么大家就都会遵守
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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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How do I go about that exercise?
如何找出纳什均衡呢
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New York and Nashville are the top music producing cities.
和纽约，纳什维尔是音乐产业的顶级城市。
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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
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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
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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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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
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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
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