IDEAS home Printed from https://ideas.repec.org/a/bla/jrinsu/v75y2008i4p825-846.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1539-6975.2008.00287.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1539-6975.2008.00287.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Henri Loubergé, 1998. "Risk and Insurance Economics 25 Years After," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 23(4), pages 540-567, October.
    2. Dionne, G. & Doherty, N., 1991. "Adverse Selection In Insurance Markets: A Selective Survey," Cahiers de recherche 9105, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    3. Dionne, Georges & Fombaron, Nathalie & Doherty, Neil, 2012. "Adverse selection in insurance contracting," Working Papers 12-8, HEC Montreal, Canada Research Chair in Risk Management.
    4. Dionne, Georges & Harrington, Scott, 2017. "Insurance and Insurance Markets," Working Papers 17-2, HEC Montreal, Canada Research Chair in Risk Management.
    5. Pau Olivella & Fred Schroyen, 2014. "Multidimensional Screening in a Monopolistic Insurance Market," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 39(1), pages 90-130, March.
    6. Jaap Spreeuw & Martin Karlsson, 2009. "Time Deductibles as Screening Devices: Competitive Markets," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(2), pages 261-278, June.
    7. Andrea Attar & Thomas Mariotti & François Salanié, 2020. "The Social Costs of Side Trading," The Economic Journal, Royal Economic Society, vol. 130(630), pages 1608-1622.
    8. De Feo, Giuseppe & Hindriks, Jean, 2014. "Harmful competition in insurance markets," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 213-226.
    9. Sebastian Panthöfer, 2016. "Risk Selection under Public Health Insurance with Opt‐Out," Health Economics, John Wiley & Sons, Ltd., vol. 25(9), pages 1163-1181, September.
    10. Gemmo, Irina & Browne, Mark J. & Gründl, Helmut, 2017. "Transparency aversion and insurance market equilibria," ICIR Working Paper Series 25/17, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    11. Robert J. Gary-Bobo & Alain Trannoy, 2015. "Optimal student loans and graduate tax under moral hazard and adverse selection," RAND Journal of Economics, RAND Corporation, vol. 46(3), pages 546-576, September.
    12. Inderst, Roman & Wambach, Achim, 2001. "Competitive insurance markets under adverse selection and capacity constraints," European Economic Review, Elsevier, vol. 45(10), pages 1981-1992, December.
    13. Daniel McFadden & Carlos Noton & Pau Olivella, "undated". "Remedies for Sick Insurance," Working Papers 620, Barcelona School of Economics.
    14. Zabinski, Daniel & Selden, Thomas M. & Moeller, John F. & Banthin, Jessica S., 1999. "Medical savings accounts: microsimulation results from a model with adverse selection," Journal of Health Economics, Elsevier, vol. 18(2), pages 195-218, April.
    15. Dosis, Anastasios, 2018. "On signalling and screening in markets with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 140-149.
    16. Georges Dionne & Casey G. Rothschild, 2011. "Risk Classification in Insurance Contracting," Cahiers de recherche 1137, CIRPEE.
    17. Peter, Richard & Richter, Andreas & Thistle, Paul, 2017. "Endogenous information, adverse selection, and prevention: Implications for genetic testing policy," Journal of Health Economics, Elsevier, vol. 55(C), pages 95-107.
    18. Arthur Snow, 2009. "On the Possibility of Profitable Self‐Selection Contracts in Competitive Insurance Markets," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(2), pages 249-259, June.
    19. Sebastian Soika, 2018. "Moral Hazard and Advantageous Selection in Private Disability Insurance," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 43(1), pages 97-125, January.
    20. Chu-Shiu Li & Chwen-Chi Liu & Chen-Sheng Yang, 2010. "Tax Deductions for Losses and Equilibrium in Competitive Insurance Markets," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 38(1), pages 51-63, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jrinsu:v:75:y:2008:i:4:p:825-846. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/ariaaea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.