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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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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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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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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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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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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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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
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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
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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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Now, this game, this game of imperfect competition between two firms competing in quantities, was thought up and studied by a French economist called Cournot almost a hundred years before Nash.
这个博弈,这个关于两家公司的产量竞争的博弈,早在纳什出生一百多年前就被,一个法国的经济学家古诺研究过
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Nevertheless I claim this is not a Nash Equilibrium.
我并不认为这是一个纳什均衡
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