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So he says that position 1, strategy 1, choosing the most extreme left wing position is a dominated strategy.
他说到立场1,也就是策略1,即选择最极端的左翼立场,是劣势策略
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That's a third of the people who seem to be choosing a dominated strategy or is it?
为什么有三分之一,会选择劣势策略呢
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It is true that by both choosing, by both following this lesson and not choosing the dominated strategy Beta, we ended up with payoffs, , that were bad.
如果我们都不去选择,劣势策略β,我们的收益就是次优的收益
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Let's start by plotting my expected payoff from choosing the strategy Up.
我先把选上的预期收益,标注出来
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So rational choice in this case, people not choosing a dominated strategy; people choosing a dominant rational choice can lead to outcomes that - what do Americans call this?--that "Suck."
理性的选择,即本案例中人们不去选择劣势策略,反而选择优势策略,使总结果变得,美国人怎么说的,"糟糕"
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In particular, a strategy like 80 is dominated by choosing 67.
准确地说,选择80是劣于选择67的
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All right, so this gentleman is saying... There's no dominant strategy so - Right, so this gentleman's saying, a good reason for choosing Alpha in this game is it's less risky.
很好,他说,这里没有优势策略 所以,没错,他说,选α是因为这样做风险更小
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So Allen is saying if Player I is choosing this strategy and Player II is choosing her corresponding strategy here, neither player has an incentive to deviate.
艾伦认为如果参与人I采取这个策略,而参与人II采取了相应的策略时,没有人想要改变这种状况
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So strategy ?i is a best response to the strategy S-i of the other players if my payoff from choosing ?i against S-i, is weakly bigger than that from choosing Si' against S- i, and this better hold for all possible other strategies I could choose.
策略?i是其他参与人策略S-i的,最佳对策,如果此时我选?i的收益,弱优于此情况下选Si'的收益,这对于所有我可以选择的策略都成立
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I'll say it again, Player i's strategy "s'i" is weakly dominated by her strategy "si" if she always does at least as well by choosing "si" than choosing "s'i" regardless of what everyone else does, and sometimes she does strictly better.
重申一下,参与者i的策略s'i,弱劣于策略si,当且仅当无论对手怎么做,她选择si的收益至少与选s'i的相等,有些情况下甚至是严格占优的
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