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by putting myself in my opponent's shoes,
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I realize that she has a dominant strategy, Alpha.
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She's going to choose Alpha and my best response against Alpha
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is to choose Alpha myself.
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So here, this time, my Alpha does not dominate Beta
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but my pair's choice of Alpha dominates her choice,
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her possible choice Beta. So she will choose Alpha.
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And once I know that she's going to choose Alpha,
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it's clear that I should choose Alpha and get 0
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rather than Beta and get -3. So I should choose Alpha also.
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Okay, so now we've seen four different combinations.
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We've seen a case where an evil git was playing an evil git;