One possibility not accounted for in a Battle of the Sexes game is the choice of player I to go to…
One possibility not accounted for in a Battle of the Sexes game is the choice of player I to go to a bar instead of the Ballet or Wrestling. Suppose the husband, who wants to go to Wrestling, has a 15% chance of going to a bar instead. His wife, who wants to go to the Ballet, also has a 25% chance of going to the same bar instead. If they both meet at Wrestling, the husband gets 4, the wife gets 2. If they both meet at the Ballet, the wife gets 4, and the husband gets 1. If they both meet at the bar, the husband gets 4 and the wife also gets 4. If they decide to go to different places they each get 2. Assume the players make their decisions without knowledge of the other’s choice. Draw the game and solve using Gambit.

