Consider the following battle of the sexes game:

	Opera	Football
Opera	2,1	0,0
Football	0,0	1,2

This game has two pure strategy Nash equilibria, one where both go to the opera and another where both go to the football game. There is also a mixed strategy Nash equilibrium where the players go to their preferred event more often than the other. We found this mixed strategy Nash equilibrium in the notes. Suppose each player picks either football or opera with probability 0.5. Find each players expected reward. Is this a fair solution in that each player gets the same reward? Is it a better solution in that each player does better than at the Nash equilibrium? Is this solution a Nash equilibrium?