We study a model of repeated games with imperfect monitoring where the payo
ff vectors observable. In this situation, any profitable deviation is detec
table by all the players but the identity of the deviator may be unknown. W
e design collective punishments directed against the set of potential devia
tors. A particular class of signals is studied for which a characterization
of the set of equilibrium payoffs is obtained. Journal of Economic Literat
ure Classification Numbers: C73. (C) 1999 Academic Press.