Definition:Bach or Stravinsky?

Definition
Bach or Stravinsky? is an instance of a class of games whose mechanics are as follows:

There are two players: $\text A$lexis and $\text B$everley.

They wish to go out together to a musical concert, but $\text A$ prefers Bach and $\text B$ prefers Stravinsky.

The key points are:
 * $\text A$lexis and $\text B$everley wish to coordinate their behaviour

but:
 * they have conflicting interests.

Payoff Table
The payoff table of Bach or Stravinsky? is as follows:

Also known as
This general class of game can be abbreviated BoS.

It is also referred to as the Battle of the Sexes, in which the two participants are one male, one female, and the options are a prizefight and a ballet.