Most decisions concerning (self-)insurance and self-protection have to be taken in situations in which a) the effort exerted precedes the moment uncertainty realises, and b) the probabilities of future states of the world are not perfectly known. By integrating these two characteristics in a...

This paper analyzes dynamic risk-sharing contracts between profit-maximizing insurers and risk-averse agents who face idiosyncratic income uncertainty and may self-insure through savings. We study Markov-perfect insurance contracts in which neither party can commit beyond the current period. We...

Under certain conditions the optimal insurance policy will offer full coverage above a deductible, as Arrow and others have shown long time ago. Interestingly, the same design of insurance policies applies in case of a single loss and ex-ante moral hazard. However, many insurance policies...

In the presence of a time-inconsistency problem with optimal agency contracts, we show that competitive markets implement allocations that Pareto dominate those achieved by a benevolent planner, they induce strictly more effort, and they sometimes make the commitment problem disappear entirely....