This paper discusses the dynamic implications of learning in a large p
opulation coordination game, focusing on the structure of the matching
process which describes how players meet. As in Kandori, Mailath, and
Rob (1993) a combination of experimentation and myopia creates ''evol
utionary'' forces which lead players to coordinate on the risk dominan
t equilibrium. To describe play with finite time horizons it is necess
ary to consider the rates at which the dynamic systems converge. In la
rge populations with uniform matching, play is determined largely by h
istorical factors. In contrast, when players interact with small sets
of neighbors it is more reasonable to assume that evolutionary forces
may determine the outcome.