
The “Battle of the Sexes” is another famous coordination game, in
which a husband and wife try to work out complementary roles (see Fig-
ure 5.11). For instance, it may be that both of them strongly prefer to
play the piano while the other sings, but less strongly prefer to hear the
partner play the piano rather than sing. Least desirable of all is for them
both to sing, though both playing the piano is pretty bad, too.
In the Battle of the Sexes, as in the other games, the objective is for
the players to coordinate their choices. Here, the lowest payoffs occur
where both participants do the same thing; the trick when this game is it-
erated is to