On the cost of sympathy : a alternative model of insurance markets

Abstract

The paper provides an alternative model for insurance market with three types of agents: households, providers of a service and insurance companies. Households have uncertainty about future leveIs of income. Providers, if hired by a household, perform a diagnoses and privately learn a signal. For each signal there is a procedure that maximizes the likelihood of the household obtaining the good state of nature. The paper assumes that providers care about their income and also about the likelihood households will obtain the good state of nature (sympathy assumption). This assumption is satisfied if, for example, they care about their reputation or if there are possible litigation costs in case they do not use the appropriate procedure. Finally, insurance companies offer contracts to both providers and households. The paper provides sufficient conditions for the existence of equilibrium and shows that the sympathy assumption 1eads to a 10ss of welfare for the households due to the need to incentive providers to choose the least expensive treatment.