Results from D. Gale and R. W. Rosenthal [J. Econ. Theory 84 (1999). 1-40]
are extended to characterize convergence properties of the model for (almos
t) every set of parameters. In particular. there is a sharp delineation bet
ween the parameter region in which the process of experimentation and imita
tion converges almost surely to the equilibrium and another region in which
the process is only weakly convergent (unstable in the small but not too u
nstable). (C) 2001 Academic Press.