Problem 4 (10 points) Let's consider a variation of the classic "battle of the sexes game, which is a two-player, constant sum game: A man and a woman are trying to decide what sports event to watch during the evening. The man would rather watch the boxing, while the woman would rather watch tennis. However, they would both rather spend the evening watching the same game together (doing either activity) than they to watch the games separately. Thus, their payoffs are as shown in the matrix below. If they both watch boxing, the man gets a payoff of 2, while the woman gets a payoff of 1. If they both watch tennis, then the woman gets a payoff of 2 and the man gets a payoff of 1. If they watch their games separately, then they both get a payoff of zero: Woman Tennis Man Boxing Tennis Boxing 2,1 0,0 0,0 1,2 What would we expect to be the outcome of this game (optimal strategy and payoff for each player)? What type of solution did we reach (Dominated strategy, Nash Equilibrium or Mixed Strategy