2. A wife and husband play the game of battle of the sexes. Before playing, the husband has the opportunity to burn a hundred dollars. (The wife observes the burning.) The payoffs to the battle of the sexes game are as follows (assume the payoffs are represented in dollars): 2 4bl 1 F 400,200' an , B I {I II] 200 40{]# a) Draw the extensiveform game. b) Find all subgame perfect equilibria. Do any involve burning money? e) Can forward induction reduce the set of equilibria