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So all I need, I need the payoff of hawk against P or (P, 1-P),
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I need this to be equal to the payoff of dove against this P.
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So the payoff of hawk is going to be what?
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Just reading up from up there--
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let's use our pointer--
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so hawk P of the time will meet another hawk and get this payoff.
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So they'll get--
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so P of the time they'll get a payoff of (V-C)/2
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and 1- P of the time they'll meet a dove and get a payoff of V.
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And dove against this same mix (P,1- P):
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P of the time they'll meet a hawk and get nothing
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and 1-P of the time they'll meet another dove and get V/2.