Ph. Dybvig et Na. Lutz, WARRANTIES, DURABILITY, AND MAINTENANCE - 2-SIDED MORAL HAZARD IN A CONTINUOUS-TIME MODEL, Review of Economic Studies, 60(3), 1993, pp. 575-597
Double moral hazard in continuous time generates the familiar warranty
pattern with full coverage for an initial block of time. The more com
plete the warranty, the better the producer's durability incentives an
d the worse the consumer's maintenance incentives. Using continuous ti
me highlights the need for some warranty bound to avoid reaching the f
irst-best as an unreasonable limit. Early in the paper, an exogenous b
ound is used, while later the bound arises endogenously from the possi
bility of abuse and repair. A quadratic example shows that the warrant
y's duration depends on the relative severity of the two moral hazard
problems.