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they must yield the same expected payoff.
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Here's their expected payoffs, they must be the same.
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Now, I've got one equation and one unknown,
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and now I'm down to algebra.
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So let me do the algebra.
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I claim this expression is equal to that expression,
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so simplifying a bit I'm going to get,
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you should just watch to make sure I don't get this wrong,
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I'm going to get 40Q, so this implies 40Q is equal to 60(1-Q).
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So I took this 50 onto this side and this 20 onto that side,
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so I have 40Q is equal to 60(1-Q)
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and that implies that Q is equal to .6.