Reinsuring the Poor: Group Microinsurance Design and Costly State Verication

This paper analyses collusion-proof multilateral insurance contracts between a risk neutral insurer and multiple risk averse agents in an environment of asymmetric costly state verica- tion. Optimal contracts involve the group of agents pooling uncertainty and the insurer acting as reinsurer to the group, auditing and paying a claim only when the group or a sub-group has incurred a large enough aggregate loss. We interpret our models as providing support for insurance contracts between insurance providers, such as microinsurers or governments, and groups of individuals who have access to cheap information about each other, such as extended families or members of close-knit communities. Such formal contracts complement, and could even crowd in, cheap nonmarket insurance arrangements. Optimal contract forms include Stop Loss, Area Index, and Index Plus Gap insurance.