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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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If your opponent doesn't choose 1 or 2, then you're always going to be 5% better off if you choose 2 than 1.
如果你的对手不选1立场或者2,你选择立场2总会比选择,立场1多得到5%的选票
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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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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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We mean that if these are your payoffs, no matter what your pair does, you attain a higher payoff from choosing Alpha, than you do from choosing Beta.
我们说如果这是你的收益,那么不论你的对手选什么,你选择α总会比选择β,得到更好的收益
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But you'll see that very clearly that Steven's right: that choosing 2 will always get me 5% more of the votes than choosing 1 from here on down.
你会发现斯蒂文说的很对,从这里开始,选立场2总会比,选立场1多获得5%选票
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How many of you, excluding the people who chose 1 last time, how many of you chose a number that was lower than the number you chose last time?
出了上次选1的人,多少人选了比你,上次选择的数还低的数字
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Again Alpha is better. For my opponent, alpha dominates Beta.
选α还是比β好,对我对手来说,α优于β
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Exactly, so ignoring these first two positions which were a bit weird, choosing 2 always gave me 5% more votes than choosing 1, regardless of what the other person chooses.
完全正确,所以忽略前两个立场,因为前两个立场有点古怪,我们选立场2总比1多获得5%的选票,无论对手如何选择
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So as before, Alpha does better than Beta for me.
和从前一样,对我来说选α比选β好
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In particular, if the other candidate were to choose position 1, I would get a higher share of the vote choosing 2 than I would have done if I had chosen 3.
如果对手选择立场1,我选立场2会比选立场3,得到更多的票数
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In fact, we could check that if the attacker attacks through the easy pass, not surprisingly, you do better if you defend the easy pass than the hard pass: 1 versus 0.
我们来分析一下,如果入侵者选择平坦之途,毫无疑问,如果你选平坦之途要比崎岖之途更好,1比0
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You will always get a higher payoff from choosing 67, at least as high and sometimes higher, than the payoff you would have got, had you chosen 80, no matter what else happened in the room.
选择67的话你总会获得较好的收益,至少也是跟选80的收益一样高,有时候比选80的收益更高,不管别人选择的是什么样的策略
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Top is better than bottom against left -- sorry, bottom is better than top against left because 6 is bigger than 5, but top is better than bottom against center because 11 is bigger than 0.
在左列下,选上比选下,我说错了,在左列下选下比选上要好,因为6大于5,但在中列下,选上比选下好,因为11大于0
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So almost all of you came down.
几乎所有的人都选的比上一次低
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Because I thought everyone was going to be around like the 45 range because 66 is two-thirds, or right around of 100, and they were going to go two-thirds less than that and I did one less than that one.
因为我想每个人都会选45左右的数,因为66约等于一百的2/3,而大家会选比那小的,我就选了更小的数
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Similarly, we can see that Right is not dominated, because it does better against Up, than does Left.
类似的,我们也得出右也不是劣势策略,因为参与人I选上时,选右比选左好
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It's more likely than Y the probability that they're going to choose right is more than Y, then the highest line of these three is this one, which corresponds to my choosing Middle.
即比Y大,也就说对手选右的概率大于Y,那么这三条线中最高的是这条线,这条线表示我选中的收益
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So, for example, you might think Down is dominated, but if we look a bit carefully we see that Down actually does better than Up against Right, and Down does better than Middle against Left.
例如说,你们可能认为选下是个劣势策略,但仔细观察后你会发现,参与人II选右时,选下要比上更好,参与人II选左,选下比选中更好
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