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So Alpha in this case is better against Alpha, and Beta is better against Beta, but neither dominates each other.
所以对方选α时我应该也选α,她选β我也应该选β,这里没有优势策略
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Who would choose Beta? Very few Beta's, but mostly Alpha's. Alpha, I think, is the right answer here but why?
好,谁会选β,很少有选β的,基本都选的是α,α应该是正确答案
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A natural question the first week of school is what are you shopping?
开学第一周学生自然会问,应该选哪些课程？
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You've got to realize that in calculus, the symbols that you call x and y are completely arbitrary.
你应该明白在微积分中,选x还是y当符号是完全任意的
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If these are my payoffs I should go ahead and choose Alpha because that way I end up getting 3.
如果我关心我成绩我应该直接选α,因为那样我能得到3单位效用
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Right, so you should all have been choosing in this game, you all should have chosen Alpha.
对,在这次博弈中,你们应该都选α
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So in both cases, no matter what the other person does, she receives a higher payoff from choosing Alpha, so she should choose Alpha.
这两种情况下,无论别人怎么选,她选α总能得到更好的成绩,所以她应该选α
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I believe the other guy is going to choose Left, I can rationalize choosing Up.
我认为对手应该会选左,这样我认为选上是合理的
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And two, even if that was the case I'd do better to myself choose Alpha.
第二,就算上条可行我仍应该选α
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So I should choose Beta: 1 is bigger than 0, i should choose Beta.
因此我该选β,1比0大,我应该选β
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Even if I could make everyone in the room choose Beta by the force of my brain waves, What should I then do? I should choose Alpha.
就算我能用我脑波强迫,你们选β,那我应该选什么,我应该选α
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In the first game, it was kind of clear that we should choose Alpha and here it's not at all clear what we can do-- what we should do.
在第一个博弈里,我们很显然应该选α,但这次我们应该怎么选就很不确定了
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Sudiptha had suggested earlier on, you want to be close to 5.
苏蒂帕之前提到过,我们应该选更靠近5的立场
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Beta is better against Beta. There's no dominance going on here.
她选β我也应该选β,这次没有优势策略
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Write down on your notepad what you should do.
在你笔记本上写下你应该怎么选
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Who thinks you should choose Beta in that case?
谁觉得应该选β
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Why? Why should you choose Alpha here?
为什么我们这回应该选α呢
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What should you do?
你应该怎么选
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So certainly part of the problem here, with the reasoning I just gave you-- the reasoning that said I should choose Beta, because if we both reason the same way, we both do better that way-- involves some kind of magical reasoning.
那么说问题就出在了这里,就是之前我们说应该选β的问题,如果我们要都这么想,确实得到更好成绩,但这是有前提的
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Good, so even if everyone in the number-- everyone in the room didn't choose randomly but they all chose a 100, a very unlikely circumstance, but even if everyone had chosen 100, the highest, the average, sorry, the highest two-thirds of the average could possibly be is 66 2/3, hence 67 would be a pretty good choice in that case.
好的,如果每个人,教室里的每个人不是随机选择数字,而是全选了100,这好像不太可能,但如果每个人真的都选了100,就是最大的书,那平均数,抱歉,平均数的2/3会是66又2/3,此情况下67应该是个不错的选项
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We should defend easy which is what most of you chose.
我们应该防守平坦之途,大多数人都这么选
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And once I know that she's going to choose Alpha, it's clear that I should choose Alpha and get 0 rather than Beta and get -3. So I should choose Alpha also.
一旦我意识到她会选α的时候,很显然我应该也选α来得到0单位效用,而不是选β只得到-3,所以我也选α
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So what we know here, we know that Player II should not choose right.
从中我们得出参与者II不应该选右
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Similarly, for Player II, the lowest Player I could ever do, is choose 0, in which case Player II would want to choose 1, so the strategies below 1 are never a best response for Player II.
同理,参与人I最低只能选0,此时参与人II应该会选1,小于1的策略不是参与人I的最佳对策
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