Consider the below payoff matrix for a two-player Battle of the Sexes game. Player 1 has a clear preference for soccer while Player 2 derives more satisfaction from going to watch ballet. The two versions of the game differ by how much one appreciates the presence of the other. Denote the probability of playing Soccer for Player 1 as p and for Player 2 as q. Which of the following statements is FALSE? The Honeymoon Phase version of the game has two pure strategy Nash equilibria The Married Phase version of the game has one pure strategy Nash equilibrium This game has no mixed-strategy Nash equilibrium All pure strategy Nash equilibria in the Honeymoon Phase of this game are Pareto-optimal