The theoretical literature of interstate conflict is dominated by two
conceptual models, classical deterrence theory and the spiral model. T
he fundamental tenet of classical deterrence theory is that credible a
nd capable threats can prevent the initiation, and contain the escalat
ion, of conflict. By contrast, proponents of the spiral model claim th
at the prescriptions associated with deterrence theory frequently lead
to vicious cycles of reciprocated conflict. According to Jervis 'both
sets of theorists fail to discuss the conditions under which their th
eories will not apply'. In this article we do just that, identifying a
nd comparing the conditions associated with conflict spirals and with
crisis stability, in the context of a game-theoretic escalation model
with incomplete information. For the special case in which a challenge
r is likely willing to endure an all-out conflict, our analysis indica
tes that the conditions associated with successful deterrence, limited
conflict, and escalated conflict are mutually exclusive.