1. (35%) Here is an example of the "Battle of the Sexes" game. Two players, Susan and Jack, can choose two actions: Ballet or Wrestling. The payoffs are: Jack Ballet Wrestling Susan Ballet 6,4 0,0 Wrestling 0,0 4,6 (A) (10%) Find all pure strategy Nash Equilibrium of this game. (B) (15%) Find the mixed strategy Nash Equilibrium of this game. Let the probability Susan play Ballet be p, and the probability that Jack plays Ballet be q. (C) (10%) Find the sub-game perfect Nash equilibrium if Susan moves first (leader) and Jack moves later. Use the game tree to show the