Consider the following 2 player game. Player 1 first decides whether to play a game of Battle of the Sexes with player 2. If she chooses not to play, each player gets a payoff of 2. If she does choose to play, then 1 and 2 play the following simultaneous move game:

1. Consider the following 2 player game. Player 1 rst decides Whether to play a game of Battle of the Sexes with player 2. If she chooses not to play, each player gets a payoff of 2. If she does choose to play, then 1 and 2 play the following simultaneous move game: B S B 3,1 0,0 s m