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What I want to do is I want to draw a picture, a little bit like we did for the partnership game.
下面我来画出函数图像,这与合伙人博弈的有点像
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Now, in fact, that's as far as we can get with dominance arguments in this particular game, but nevertheless, let's just stick with it a second.
目前为止,这些就是我们通过,此博弈得到的全部与优势有关信息了,然而,我们来再深究一下
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Now, a lot of today is going to be fairly abstract, so I just want to remind you that Game Theory has some real world relevance.
今天所讲的很多内容会很抽象,但我想要提醒大家,博弈论与现实世界是紧密联系的
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What is it that's different about this game from the... What's the obvious thing just looking at this picture that makes it different from the partnership game.
这个博弈的不同之处在于,从这个图上能很明显看到的,它与确实与合伙人博弈有所区别
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Notice this game is not symmetric in the payoffs or in the strategies.
但注意此博弈的策略与收益是非对称的
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It's different from the partnership game, it's different from the investment game.
它与合伙人博弈不同,与投资博弈也不同
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The main textbook is this one, Dutta's book Strategy and Games.
主要是这本,杜塔的《策略与博弈》
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It's different from the partnership game.
它与合伙人博弈就不一样
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We've seen a case where an evil git was playing an evil git; where an indignant angel was playing an indignant angel; and we've seen both the flips of those: the evil git versus the indignant angel; and the indignant angel against the evil git.
一种是饭桶恶魔于与饭桶恶魔的博弈,一种是愤怒天使和愤怒天使的博弈,还有两种是相反的博弈,自私鬼博弈愤怒天使,和愤怒天使博弈自私鬼
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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
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