Splitting Risks in Insurance Markets With Adverse Selection

We characterize the design of insurance schemes when policyhold- ers face several insurable risks in a context of adverse selection. Split- ting risks emerges as a feature of second-best Pareto-optimal alloca- tions. This may take the form of risk-speci c contracts, or of con- tracts where risks are bundled, but subject to di⁄erential coverage rules such as risk speci c copayments, combined with a deductible, an out-of-pocket maximum or a cap on coverage