If a durable good monopolist produces at constant marginal costs and t
he good depreciates, there exists a family of Strong Markov Perfect Eq
uilibrium (SMPE). One member of this family entails instantaneous prod
uction of the level of stock produced in a competitive equilibrium; th
is is consistent with the Cease Conjecture. Other SMPE in the family e
ntail steady-state production at a stock level lower than in the compe
titive equilibrium. There may be a jump to these steady states, or the
y may be approached asymptotically. Monopoly profits are positive in t
hese equilibria, and the Cease Conjecture fails.