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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by HAL in its series Working Papers with number halshs-00605267.
Date of creation: 01 Jul 2011
Date of revision:
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00605267/en/
Contact details of provider:
Web page: http://hal.archives-ouvertes.fr/
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)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Smith, Bruce D & Stutzer, Michael J, 1990. "Adverse Selection, Aggregate Uncertainty, and the Role for Mutual Insurance Contracts," The Journal of Business, University of Chicago Press, vol. 63(4), pages 493-510, October.
- Manning, Willard G, et al, 1987. "Health Insurance and the Demand for Medical Care: Evidence from a Randomized Experiment," American Economic Review, American Economic Association, vol. 77(3), pages 251-77, June.
- Besley, Tim & Ghatak, Maitreesh, 2005.
"Competition and incentives with motivated agents,"
Open Access publications from London School of Economics and Political Science
http://eprints.lse.ac.uk/, London School of Economics and Political Science.
- Pierre Picard, 2009. "Participating insurance contracts and the Rothschild-Stiglitz equilibrium puzzle," Working Papers hal-00413825, HAL.
- Richard Arnott & Joseph E Stiglitz, 2010.
"Randomization with Asymmetric Information,"
Levine's Working Paper Archive
2054, David K. Levine.
- Rothschild, Michael & Stiglitz, Joseph E, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, MIT Press, vol. 90(4), pages 630-49, November.
- Ehrlich, Isaac & Becker, Gary S, 1972. "Market Insurance, Self-Insurance, and Self-Protection," Journal of Political Economy, University of Chicago Press, vol. 80(4), pages 623-48, July-Aug..
- Donald Meyer & Jack Meyer, 2005. "Relative Risk Aversion: What Do We Know?," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 243-262, December.
- Mayers, David & Smith, Clifford W, Jr, 1988. "Ownership Structure across Lines of Property-Casualty Insurance," Journal of Law and Economics, University of Chicago Press, vol. 31(2), pages 351-78, October.
- Raj Chetty, 2006.
"A New Method of Estimating Risk Aversion,"
American Economic Review,
American Economic Association, vol. 96(5), pages 1821-1834, December.
- James A. Ligon & Paul D. Thistle, 2005. "The Formation of Mutual Insurers in Markets with Adverse Selection," The Journal of Business, University of Chicago Press, vol. 78(2), pages 529-556, March.
- James A. Ligon & Paul D. Thistle, 2008. "Moral Hazard and Background Risk in Competitive Insurance Markets," Economica, London School of Economics and Political Science, vol. 75(300), pages 700-709, November.
- Smith, Bruce D & Stutzer, Michael, 1995. "A Theory of Mutual Formation and Moral Hazard with Evidence from the History of the Insurance Industry," Review of Financial Studies, Society for Financial Studies, vol. 8(2), pages 545-77.
- Mayers, David & Smith, Clifford Jr., 1986. "Ownership structure and control : The mutualization of stock life insurance companies," Journal of Financial Economics, Elsevier, vol. 16(1), pages 73-98, May.
- Doherty, Neil A & Dionne, Georges, 1993. " Insurance with Undiversifiable Risk: Contract Structure and Organizational Form of Insurance Firms," Journal of Risk and Uncertainty, Springer, vol. 6(2), pages 187-203, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD).
If references are entirely missing, you can add them using this form.