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of the expected payoffs of each of the pure strategies in the mix.
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So this is a long way of saying something again
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which I think is a little bit obvious,
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but let me just say it again.
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The way in which we figure out the expected payoff of a mixed strategy is,
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we take the appropriately weighted average of the expected payoffs
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I would get from the pure strategies over which I'm mixing.
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So to make that less abstract let's immediately look at an example.
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So here's an example we'll come back to several times,
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but just once today, and this a game you've seen before.
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Here is the game Battle of the Sexes,
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in which Player A can choose... Player I can choose A and B,