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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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Is that right? In this game, when we analyzed the game repeatedly, it seemed like our analysis converged towards the equilibrium.
没错吧,当我们反复分析这个博弈,我们的分析最后会趋近均衡
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We've played it three times, Let's try and figure out what the equilibria looked like in this game.
我们做了三次,我们试着解决,此博弈中的均衡是什么样子
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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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In the case of the Investor Game last week, every player preferred one equilibrium to the other.
比如上一讲投资博弈中,每个参与人都偏好同一个均衡
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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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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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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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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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Yeah, what are the Nash Equilibria in this game?
这个博弈的纳什均衡是什么
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What are the Nash Equilibria in this game?
这个博弈的纳什均衡是什么
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All right, so in fact, if we checked the Nash equilibria in this game, the Nash Equilibria, and you can check that they are in fact best responses, are both people doing The Bourne ultimatum or both people doing The Good Shepherd.
很好,实际上,如果我们仔细看一下这个博弈,就会发现它们纳什均衡就是最佳对策,即两个人都去看《谍影重重》,或是两人都去看《特工风云》
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