Suppose that in a Hawk-Dove game similar to the one discussed in your workbook, the payoff to each player is -6 if both play Hawk.If both play Dove, the payoff to each player is 4, and if one plays Hawk and the other plays Dove, the one that plays Hawk gets a payoff of 6 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
A).25.
B).63.
C).06.
D).13.
E)1.

Question

Quizplus · Accepted Answer

In a Hawk-Dove game, equilibrium is achieved when the expected payoffs for playing Hawk and Dove are equal. Given the payoffs, if $p$ is the proportion of the population that plays Hawk, the expected payoff for playing Hawk is $p(-106) + (1-p)6$, and the expected payoff for playing Dove is $p(0) + (1-p)4$. Setting these equal to each other to find the equilibrium proportion, $p(-106) + (1-p)6 = p(0) + (1-p)4$, solving for $p$ gives $p = 0.25$ or 25%.

Suppose That in a Hawk-Dove Game Similar to the One