Solution to Coordination Game

Proof
From the payoff table:

There are two Nash equilibria:
 * $\left({\text{Mozart}, \text{Mozart} }\right)$
 * $\left({\text{Mahler}, \text{Mahler} }\right)$

Thus there are two steady states:
 * one in which both players always choose Mozart
 * one in which both players always choose Mahler.

Just because both players have a mutual interest in reaching the preferred Nash equilibrium $\left({\text{Mozart}, \text{Mozart} }\right)$, this does not rule out the steady state outcome $\left({\text{Mahler}, \text{Mahler} }\right)$.