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
I want to move to a different approach now and a different approach to analyzing games is going to be about, what we're going to call, best response.
好了,我们讲下一话题,下一个分析博弈的内容,被我们称为最佳对策
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
In the partnership game the best response lines sloped up.
合伙人博弈的最佳对策曲线是向上倾斜的
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》
Because at this point, as in the partnership game, which there was a similar thing, as in the partnership game where the best responses intersect is where Player 1 is playing a best response to Player 2, and Player 2 is playing a best response to Player 1.
因为这一点,与合伙人博弈的情况一样,两者的情况是很类似的,合伙人博弈中最佳对策曲线的交点处,参与人1采用了回应参与人2的最佳对策,参与人2采用了回应参与人1的最佳对策
But in this game, playing best response to each other, figuring out that in fact the other guy is going to cheat on me, or the other guy is anticipating that I'm going to cheat on him, or the other guy is going to anticipate that I'm going to anticipate that he's going to cheat on ,me, etc., etc., will eventually drag us back to the Cournot quantity.
但在这个博弈中,互相采取最佳对策,预料到了对方会违约,或者对方预料到了我会违约,或者对方知道我会预料到,他会违约,以此类推,那么最终还是会达成古诺产量的
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