The paper considers the repeated prisoner's dilemma in a large-populat
ion random-matching setting where players are unable to recognize thei
r opponents. Despite the informational restrictions cooperation is sti
ll a sequential equilibrium supported by ''contagious'' punishments. T
he equilibrium does not require excessive patience, and contrary to pr
evious thought, need not be extraordinarily fragile. It is robust to t
he introduction of small amounts of noise and remains nearly efficient
. Extensions are discussed to models with heterogeneous rates of time
preference and without public randomizations.