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Suppose that in the Hawk-Dove game discussed in Problem 8, the payoff to each player is -9 if both play Hawk. If both play Dove, the payoff to each player is 5, and if one plays Hawk and the other plays Dove, the one that plays Hawk gets a payoff of 9 and the one that plays Dove gets 0. In equilibrium, we would expect hawks and doves to do equally well. This happens when the proportion of the total population that plays Hawk is
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