  The paper studies fictitious play (FP) learning dynamics in continuous time.
It is shown that in almost every potential game, and for almost every initial
condition, the rate of convergence of FP is exponential. In particular, the
paper focuses on studying the behavior of FP in potential games in which all
equilibria of the game are regular, as introduced by Harsanyi. Such games are
referred to as regular potential games. Recently it has been shown that almost
all potential games (in the sense of the Lebesgue measure) are regular. In this
paper it is shown that in any regular potential game (and hence, in almost
every potential game), FP converges to the set of Nash equilibria at an
exponential rate from almost every initial condition.
