With \(p\) the frequency of Hawks and \(q\) the frequency of Doves, the expected payoff to a Hawk is \(p E_{H H}+q E_{H D}\), and the expected payoff to a Dove is \(p E_{D H}+\) \(q E_{D D}\), so that...With \(p\) the frequency of Hawks and \(q\) the frequency of Doves, the expected payoff to a Hawk is \(p E_{H H}+q E_{H D}\), and the expected payoff to a Dove is \(p E_{D H}+\) \(q E_{D D}\), so that the mixed Nash equilibrium satisfies \[p E_{H H}+q E_{H D}=p E_{D H}+q E_{D D} \nonumber \] Substituting in \(q=1-p\) and solving for \(p\), we obtain \[p=\frac{E_{H D}-E_{D D}}{\left(E_{H D}-E_{D D}\right)+\left(E_{D H}-E_{H H}\right)} \nonumber \] and with the numerical values in Table 5.12, \[\…
