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It must be the case that both l is a best response and r is a best response
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in which case the payoff must be,
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someone shout it out, equal, thank you.
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They must be equal, these must be equal.
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They must be equal since Serena is indifferent between
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choosing left or right and hence is mixing over them.
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So again, using the fact that they're equal reduces this to algebra,
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and again, I'll probably get this wrong but let me try.
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So I claim, let's take 20 away from here,
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I've got 30P equals 70(1-P).
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I hope that's right, that looks right.
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Again, this is just algebra at this point.