Risk-sharing with self-insurance: the role of cooperation
AbstractWe analyze mutual insurance arrangements (policies based on risk-sharing among a pool of policyholders) when consumers choose a self-insurance effort, that is an effort decreasing the size of any loss occurring. We consider both cooperative and non-cooperative strategies in the effort choice. Cooperation among policyholders leads to the full internalization of the positive impact the effort exerts on the premium. We show that, for an infinite size of pool, with cooperation first-best efficiency is achieved. Moreover, cooperation is sustained as an equilibrium in a repeated interaction game for a sufficiently low size of pool. An interesting implication of our results is that a cooperative mutual policy can dominate a stock insurance contract. Simulations show that mutual insurance with cooperation as an equilibrium dominates a second-best stock-type insurance policy even when pool size is low.
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Date of creation: 01 Jul 2011
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Mutual arrangement; self-insurance; positive externality on the insurance premium; cooperation;
Other versions of this item:
- F. Barigozzi & R. Bourles & D. Henriet & G. Pignataro, 2011. "Improving Compliance With Preventive Care: Cooperation in Mutual Health Insurance," Working Papers wp765, Dipartimento Scienze Economiche, Universita' di Bologna.
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- I11 - Health, Education, and Welfare - - Health - - - Analysis of Health Care Markets
- I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-07-13 (All new papers)
- NEP-CTA-2011-07-13 (Contract Theory & Applications)
- NEP-IAS-2011-07-13 (Insurance Economics)
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