This article considers the problem of how cooperative norms can be est
ablished by modeling the evolution of a system of corruption. A fixed
population of players is assumed that play a series of supergames with
randomly chosen opponents. Each stage game in the supergames is a pri
soner's dilemma. This article exhibits the conditions under which an e
quilibrium of corruption exists and is stable. There are two types of
players, adaptive and nonadaptive ones. Among the nonadaptive players,
there is a small proportion that always chooses to be conditionally h
onest in every new supergame. Furthermore, corruption generates small
but cumulative social costs. This article shows that the joint presenc
e of a small group of ''honest'' players and of cumulative social cost
s is sufficient to drive the system to a critical (i.e., catastrophic)
point in which the stable equilibrium of corruption suddenly becomes
unstable. When the system has reached such a catastrophic point, a sma
ll perturbation is enough to drive it toward a different equilibrium.
The new equilibrium is cooperative, in that all players choose to be c
onditionally honest and that a cooperative equilibrium is always stabl
e under the model's conditions. Thus the catastrophic transition to th
e new equilibrium exemplifies a sudden and spontaneous establishment o
f a cooperative pattern of behavior.