Two-person repeated games with no discounting are considered where the
re is uncertainty about the type of the players. If there is a possibi
lity that a player is an automaton committed to a particular pure or m
ixed stage-game action, then this provides a lower bound on the Nash e
quilibrium payoffs to a normal type of this player. The lower bound is
the best available and is robust to the existence of other types. The
results are extended to the case of two-sided uncertainty. This work
extends Schmidt (1993) who analyzed the restricted class of conflictin
g interest games.