  In this paper we show that the continuum time version of the Minority Game
satisfies the criteria for the application of a theorem on the existence of an
invariant measure. We consider the special case of a game with "sufficiently"
asymmetric initial condition where the number of possible choices for each
individual is S=2 and $\Gamma<+\infty$. An upper bound for the asymptotic
behavior, as the number of agents grows to infinity, of the waiting time for
reaching the stationary state is then obtained.
