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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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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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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 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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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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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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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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If my pair chooses Alpha then Alpha gets me 0; Beta -3.
如果我对手选α那么我选α得0选β的-3
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If the pair chooses Alpha and she chose Beta, she gets -1.
对手选α她选β,她得到-1
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So 236--I'm sorry 238--chose Alpha, and 36 chose Beta.
38人选α 36人选β
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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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I mean if you chose Alpha, you're swinging from A to B-; and from Beta, swinging from B+ to C.
要是你选α,你的分数会在A到B-,选β,分数范围会在B+到C
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So my grade if we both put Alpha is B-, if we both put Beta, was B+.
如果我们都选α我得B-,都选β我得B+
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So the easy ones are on the diagonal: you both get B- if we both choose Alpha; we both get B+ if we both choose Beta.
这样就更直观了,如果我们都选α的话得B-,如果我们都选β的话得B+
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