Battle of the Sexes

Overview

Battle of the Sexes occurs when both players gain when there is cooperation, but the choice on which they coorperate one will benefit one over the other.

Game Matrix

Nash Equilibria

There are three Nash Equilibria in the battle of the sexes game.

• Choice1, Choice1
• Choice2, Choice2
• Mixed Strategy
  Player 1 :
  • {% \frac{1}{3} %} choice 1
  • {% \frac{2}{3} %} choice 2
  Player 2:
  • {% \frac{2}{3} %} choice 1
  • {% \frac{1}{3} %} choice 2