Consider the Battle of the Sexes game: Jim- wrestling Jim – opera Joa

Consider the Battle of the Sexes game:

Jim- wrestling Jim – opera
Joan – wrestling 2, 1 0, 0
Joan – opera 0, 0 1, 2

Suppose both players use mixed strategies for this game. Jim chooses wrestling with probability 0.9, and Joan chooses wrestling with probability 0.5. What are the expected payoffs for the players?
A) The expected payoffs are 0.95 for Joan and 0.55 for Jim
B) The expected payoffs are 0.55 for Joan and 0.95 for Jim
C) The expected payoffs are 0.95 for both players
D) The expected payoffs are 0.55 for both players

ANSWER

A