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The reason I chose Alpha, regardless of what my partner chose, I think there would be better outcomes than choosing Beta.
我选α是因为不管我对手选什么,我选α得到的成绩总会比选β的要好
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Let's just check. If my pair chooses Alpha, then my choosing Alpha yields 0, Beta -3: so Alpha would be better.
我们来验证下,如果我对手选α,我选α得0,选β得-3,所以选α更好
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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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How many people abstained? Not allowed to abstain: let's try it again. Alpha in this case? No abstentions here.
多少人弃权了,不带弃权的,再举一次,多少人选α,不能弃权
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If my opponent chooses Alpha and I choose Alpha, I get 0; Beta, I get -1. So Alpha would be better.
如果我对手选α我选α,我得0,选β我得-1,选α更好
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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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If my opponent chooses Beta and I choose Alpha, I get 3; Beta, I get 1. Once again Alpha is better.
如果我对手选β,我选α我得3,选β我得1,也是选α好
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You chose Alpha; I'm assuming these were roughly your payoffs, more or less, you were caring about your grades.
你选择的是α,我想这差不多就是你的收益了吧,你关注自己的成绩
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She said, no matter what the other person does, she reckons she'd get a better grade if she chose Alpha.
她说无论别人怎么选,她觉得选α会使自己得到最优的结果
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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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So Alpha does better. But if my pair chooses Beta, then Alpha gets me -1; Beta gets me 1.
此时选α较好,但是如果我对手选β,我选α得-1,选β得1
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Because I thought the payoffs - the two different payoffs that I could have gotten-- were highest if I chose Alpha.
因为我发现,如果我选α的话,我得到的两种结果是最优的
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But if my pair chooses Beta then Alpha yields -1, Beta yields 1: in this case Beta would be better.
但是要是我对手选β我选α得-1,选β得1,此时选β更好
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So by thinking about my opponent, by putting myself in my opponent's shoes, I realize that she has a dominant strategy, Alpha.
所以考虑到我的对手,站在她的立场上看,我发现她有一个优势策略α
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You had to choose grades, so you had to choose Alpha and Beta, and this table told us what outcome would arise.
大家通过选择α和β来确定各自的成绩,这个表格列出了可能的结果
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Because if you choose Alpha, the best case scenario is you get 0, So that's okay good, that's a good counter argument.
因为要是你选α,你最多只能得0,很好,这是个不错的反驳理由
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Without showing your neighbor what you are doing, put it in the box below either the letter Alpha or the letter Beta.
在不被你同桌看到的情况下,在方框中填写字母α或者字母β
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If I choose Alpha and she chooses Alpha to get 0; Beta she gets -1. Alpha is better.
如果我选α,她选α她得0,选β她得-1,选α更好
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Suppose I reason and say if we, me and my pair, both reason this way and choose Alpha then we'll both get 0.
假如我和我队友都这么想,如果我们都选α我们得到0单位效用
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If the pair chooses Beta, then if she chooses Alpha she gets 3, Beta she gets 1, and 3 is bigger than 1.
如果她对手选β,她选α得到3,她选β得到1,3也比1大
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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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It's still I'm choosing Alpha and Beta, my pair is choosing Alpha and Beta, and the grades are the same as they were before.
还是我选α和β,我对手选α和β,成绩的评判和之前是一模一样的
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Is the reason people behave badly-- I don't know "Badly"--people choose Alpha in this game here, is it the fact that they can't communicate?
人们之所以取得糟糕的结果,我不敢说结果是不是真的不好,但人们选α是因为不能交流吗
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She's going to choose Alpha and my best response against Alpha is to choose Alpha myself.
她会选α,介于此情况,我最好也选α
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So once again, no abstentions this time: who would choose Alpha? Let's have a show of hands again, keep your hands up a second.
这次也不允许弃权,谁会选择α,请举下手,先别放下手
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So it looks like a lot of - well we're going to find out, we're going to count--but a lot more Alpha's than Beta's.
我们来数一下,确认一下,选α的人要远远多于选β
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If we play this game up in the business school, I think it's quite likely we're going to get a lot of Alpha's chosen, right?
要是我们在商学院进行这个博弈,我觉得会有很多人选α
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Alpha was dominant before--it dominated Beta before-- and it still dominates Beta. Let's just check.
是优势策略,β是劣势策略,在这里α依然优于β,我们来验证下
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