Battle of the Sexes — Single Player

You prefer going to the Baseball game; the other player prefers the Opera. Both of you value being together more than going to different events. This is the classic Battle of the Sexes: there are two coordinated outcomes—(Baseball, Baseball) and (Opera, Opera). You rank the first higher; the other player ranks the second higher. Any miscoordination (Baseball, Opera or Opera, Baseball) leaves you both worse off.

Payoff matrix (you, opponent):

You Baseball vs Opp Baseball
→ (2, 1)

You Baseball vs Opp Opera
→ (0, 0)

You Opera vs Opp Baseball
→ (0, 0)

You Opera vs Opp Opera
→ (1, 2)

Canonical payoffs: coordination is better than miscoordination; each player prefers a different coordinated outcome.

Opponent behavior

Opponent Opera probability (%): Default = 50% Opera, 50% Baseball (randomized each round).

Your total: 0 · Opponent total: 0

Last rounds

#	You	Opponent	Your payoff	Opp payoff