8.2 The mixed-strategy Nash equilibrium in the Battle of the Sexes in Figure 8.3 may depend on the numerical values for the payoffs. To generalize this solution, assume that the payoff matrix for the game is given by Player 2 (Husband)

Ballet Boxing Player 1

(Wife)

Ballet K, 1 0, 0 Boxing 0, 0 1, K where K & 1. Show how the mixed-strategy Nash equilibrium depends on the value of K.