Insurance induces a well-known tradeoff between the welfare gains from risk protection and the welfare losses from moral hazard. Empirical work traditionally estimates each side of the tradeoff separately, potentially yielding mutually inconsistent results. I develop a nonlinear budget set model...

Preventive care should be subsidized in traditional insurance contracts since policyholders ignore the benefit of their prevention choice on the insurance premium (Ellis and Manning, 2007 JHE). We study participating policies as risk-sharing agreements among policyholders who decide how much to...