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Adverse Selection With Frequency and Severity Risk: Alternative Risk‐Sharing Provisions

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  • James A. Ligon
  • Paul D. Thistle

Abstract

The analysis considers an insurance market with adverse selection where individuals' loss distributions may differ with respect to both the frequency and severity of loss. We show that the combination of deductibles and coinsurance can be used to sort rationed policyholders. Because of their screening properties, coinsurance and deductibles may both be equilibrium forms of risk sharing for a particular insurer facing asymmetric information, with different rationed consumers choosing different risk‐sharing provisions.

Suggested Citation

  • James A. Ligon & Paul D. Thistle, 2008. "Adverse Selection With Frequency and Severity Risk: Alternative Risk‐Sharing Provisions," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(4), pages 825-846, December.
    • Handle: RePEc:bla:jrinsu:v:75:y:2008:i:4:p:825-846
    DOI: 10.1111/j.1539-6975.2008.00287.x
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    References listed on IDEAS

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    1. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
    2. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    3. Michael Landsberger & Isaac Meilijson, 1999. "A general model of insurance under adverse selection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(2), pages 331-352.
    4. Gollier, Christian & Schlesinger, Harris, 1996. "Arrow's Theorem on the Optimality of Deductibles: A Stochastic Dominance Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 359-363, February.
    5. Jerry W. Liu & Mark J. Browne, 2007. "First‐Best Equilibrium in Insurance Markets With Transaction Costs and Heterogeneity," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 74(4), pages 739-760, December.
    6. Virginia R. Young & Mark J. Browne, 1997. "Explaining Insurance Policy Provisions via Adverse Selection," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 22(2), pages 121-134, December.
    7. Landsberger, Michael & Meilijson, Isaac, 1996. "Extraction of Surplus under Adverse Selection: The Case of Insurance Markets," Journal of Economic Theory, Elsevier, vol. 69(1), pages 234-239, April.
    8. Claude Fluet & François Pannequin, 1995. "Insurance Contracts under Adverse Selection with Random Loss Severity," Cahiers de recherche du Département des sciences économiques, UQAM 9510, Université du Québec à Montréal, Département des sciences économiques.
    9. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    10. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
    11. Thistle, Paul D., 1993. "Negative Moments, Risk Aversion, and Stochastic Dominance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(2), pages 301-311, June.
    12. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn.
    13. Patrick L. Brockett & Linda L. Golden, 1987. "A Class of Utility Functions Containing all the Common Utility Functions," Management Science, INFORMS, vol. 33(8), pages 955-964, August.
    14. Spence, Michael, 1978. "Product differentiation and performance in insurance markets," Journal of Public Economics, Elsevier, vol. 10(3), pages 427-447, December.
    15. Machina, Mark J & Pratt, John W, 1997. "Increasing Risk: Some Direct Constructions," Journal of Risk and Uncertainty, Springer, vol. 14(2), pages 103-127, March.
    16. Meyer, Jack & Ormiston, Michael B, 1999. "Analyzing the Demand for Deductible Insurance," Journal of Risk and Uncertainty, Springer, vol. 18(3), pages 223-230, October.
    17. Raviv, Artur, 1979. "The Design of an Optimal Insurance Policy," American Economic Review, American Economic Association, vol. 69(1), pages 84-96, March.
    18. Neil A. Doherty & Hong Joo Jung, 1993. "Adverse Selection When Loss Severities Differ: First-Best and Costly Equilibria," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 18(2), pages 173-182, December.
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