In the Battle of the Sexes, two people simultaneously and independently decide whether to go to the ballet or football. Players would like to coordinate but differ on which action they would like to coordinate upon. Ballet is player 1's favorite and football is player 2's. Each player gets a payoff of 2 from coordinating with the other player (i.e. choosing the same action). In addition, a player gets 1 if he chooses his favorite action.
For example, if player 1 chooses ballet and 2 chooses football, then each player gets 1. If they both coordinate on football, player 1 gets 2 and player 2 gets 3, and so forth.
What are the pure-strategy Nash equilibria of this game?
A. (football, ballet) and (ballet, football)
B. (ballet, football)
C. (ballet, football) and (football, ballet)
D. (ballet, ballet) and (football, football)