Abstract
The “Battle of the Sexes” (BoS) game is often used to illustrate the challenges of coordination in competitive situations. However, when reading Luce and Raiffa (1957), who introduced this game, one notices that the narrative they propose does not perfectly align with the payoffs they uses. What happens if the payoffs are modified to better reflect their narrative? How can the game be modified to yield other equilibria, thereby allowing to interpret a wider range of real-life coordination problems? By explicitly introducing an utility function, we propose a general framework that addresses these questions and broaden the educational message that is conveyed.