  We consider the class of two-person ordinal potential games where each player
has the same number of actions $K$. Each game in this class admits at least one
pure Nash equilibrium and the best-response dynamics converges to one of these
pure Nash equilibria; which one depends on the starting point. So, each pure
Nash equilibrium has a basin of attraction.
  We pick uniformly at random one game from this class and we study the joint
distribution of the sizes of the basins of attraction. We provide an asymptotic
exact value for the expected basin of attraction of each pure Nash equilibrium,
when the number of actions $K$ goes to infinity.
