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A Note on Health Insurance under Ex Post Moral Hazard

Author

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  • Pierre Picard

    () (Department of Economics, Ecole Polytechnique, 91128 Palaiseau Cedex, France)

Abstract

In the linear coinsurance problem, examined first by Mossin (1968), a higher absolute risk aversion with respect to wealth in the sense of Arrow–Pratt implies a higher optimal coinsurance rate. We show that this property does not hold for health insurance under ex post moral hazard; i.e., when illness severity cannot be observed by insurers, and policyholders decide on their health expenditures. The optimal coinsurance rate trades off a risk-sharing effect and an incentive effect, both related to risk aversion.

Suggested Citation

  • Pierre Picard, 2016. "A Note on Health Insurance under Ex Post Moral Hazard," Risks, MDPI, Open Access Journal, vol. 4(4), pages 1-9, October.
  • Handle: RePEc:gam:jrisks:v:4:y:2016:i:4:p:38-:d:81350
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    References listed on IDEAS

    as
    1. Amy Finkelstein & Erzo F. P. Luttmer & Matthew J. Notowidigdo, 2013. "What Good Is Wealth Without Health? The Effect Of Health On The Marginal Utility Of Consumption," Journal of the European Economic Association, European Economic Association, vol. 11, pages 221-258, January.
    2. Han Bleichrodt & Jose Luis Pinto, 2000. "A Parameter-Free Elicitation of the Probability Weighting Function in Medical Decision Analysis," Management Science, INFORMS, vol. 46(11), pages 1485-1496, November.
    3. J. Francois Outreville, 2014. "Risk Aversion, Risk Behavior, and Demand for Insurance: A Survey," Journal of Insurance Issues, Western Risk and Insurance Association, vol. 37(2), pages 158-186.
    4. Viscusi, W Kip & Evans, William N, 1990. "Utility Functions That Depend on Health Status: Estimates and Economic Implications," American Economic Review, American Economic Association, vol. 80(3), pages 353-374, June.
    5. Zeckhauser, Richard, 1970. "Medical insurance: A case study of the tradeoff between risk spreading and appropriate incentives," Journal of Economic Theory, Elsevier, vol. 2(1), pages 10-26, March.
    6. Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
    7. Ralph L. Keeney, 1972. "Utility Functions for Multiattributed Consequences," Management Science, INFORMS, vol. 18(5-Part-1), pages 276-287, January.
    8. Feldstein, Martin S, 1973. "The Welfare Loss of Excess Health Insurance," Journal of Political Economy, University of Chicago Press, vol. 81(2), pages 251-280, Part I, M.
    9. Evans, William N & Viscusi, W Kip, 1991. "Estimation of State-Dependent Utility Functions Using Survey Data," The Review of Economics and Statistics, MIT Press, vol. 73(1), pages 94-104, February.
    10. Abdellaoui, Mohammed & Barrios, Carolina & Wakker, Peter P., 2007. "Reconciling introspective utility with revealed preference: Experimental arguments based on prospect theory," Journal of Econometrics, Elsevier, vol. 138(1), pages 356-378, May.
    11. Feldman, Roger & Dowd, Bryan, 1991. "A New Estimate of the Welfare Loss of Excess Health Insurance," American Economic Review, American Economic Association, vol. 81(1), pages 297-301, March.
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    More about this item

    Keywords

    health insurance; ex post moral hazard; coinsurance;

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • G0 - Financial Economics - - General
    • G1 - Financial Economics - - General Financial Markets
    • G2 - Financial Economics - - Financial Institutions and Services
    • G3 - Financial Economics - - Corporate Finance and Governance
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics
    • M4 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting
    • K2 - Law and Economics - - Regulation and Business Law

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