In a recurring game, a stage game is played sequentially by different
groups of players. Each group receives publicly available information
about the play of earlier groups. Not knowing the population distribut
ion of player types (representing individual preferences and behavior)
, society members start with a prior probability distribution over a s
et of possible type-distributions. Late groups update their beliefs by
considering the public information regarding the play of earlier grou
ps. We study the limit beliefs and play of late groups and the relatio
nships to the true (realized) type-distribution and equilibria of the
true Bayesian stage game. (C) 1997 Academic Press.