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Multidimensional screening in a monopolistic insurance market

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  • OLIVELLA, Pau

    (Departament d’Economia i d’Historia Economica and CODE, Universitat Autonoma de Barcelona, Spain)

  • SCHROYEN, Fred

    (Department of Economics, NHH Norwegian School of Economics, Bergen and HEB)

Abstract

In this paper, we consider a population of individuals who differ in two dimensions: their risk type (expected loss) and their risk aversion. We solve for the profit maximizing menu of contracts that a monopolistic insurer puts out on the market. First, we find that it is never optimal to fully separate all the types. Second, if heterogeneity in risk aversion is sufficiently high, then some high-risk individuals (the risk-tolerant ones) will obtain lower coverage than some low-risk individuals (the risk-averse ones). Third, we show that when the average man and woman differ only in risk aversion, gender discrimination may lead to a Pareto improvement.

Suggested Citation

  • OLIVELLA, Pau & SCHROYEN, Fred, 2011. "Multidimensional screening in a monopolistic insurance market," LIDAM Discussion Papers CORE 2011056, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2011056
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    References listed on IDEAS

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    1. Bruno Jullien & Bernard Salanié & François Salanié, 2007. "Screening risk-averse agents under moral hazard: single-crossing and the CARA case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 151-169, January.
    2. Joseph E. Stiglitz, 1977. "Monopoly, Non-linear Pricing and Imperfect Information: The Insurance Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 407-430.
    3. Keith J. Crocker & Arthur Snow, 2011. "Multidimensional Screening in Insurance Markets with Adverse Selection," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 78(2), pages 287-307, June.
    4. 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.
    5. repec:dau:papers:123456789/5370 is not listed on IDEAS
    6. Smart, Michael, 2000. "Competitive Insurance Markets with Two Unobservables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 153-169, February.
    7. repec:adr:anecst:y:2003:i:69:p:06 is not listed on IDEAS
    8. Pau Olivella & Marcos Vera-Hernández, 2006. "Testing for Asymmetric Information in Private Health Insurance," Working Papers 246, Barcelona School of Economics.
    9. Alma Cohen & Peter Siegelman, 2010. "Testing for Adverse Selection in Insurance Markets," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(1), pages 39-84, March.
    10. David M. Cutler & Amy Finkelstein & Kathleen McGarry, 2008. "Preference Heterogeneity and Insurance Markets: Explaining a Puzzle of Insurance," American Economic Review, American Economic Association, vol. 98(2), pages 157-162, May.
    11. Eckel, Catherine C. & Grossman, Philip J., 2008. "Men, Women and Risk Aversion: Experimental Evidence," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 113, pages 1061-1073, Elsevier.
    12. Bruno Jullien & Bernard Salanié & François Salanié, 2000. "Screening Risk-Averse Agents Under Moral Hazard," Working Papers 2000-41, Center for Research in Economics and Statistics.
    13. Tomas Philipson & John Cawley, 1999. "An Empirical Examination of Information Barriers to Trade in Insurance," American Economic Review, American Economic Association, vol. 89(4), pages 827-846, September.
    14. Kimball, Miles S & Sahm, Claudia R & Shapiro, Matthew D, 2008. "Imputing Risk Tolerance From Survey Responses," Journal of the American Statistical Association, American Statistical Association, vol. 103(483), pages 1028-1038.
    15. Philippe Donder & Jean Hindriks, 2009. "Adverse selection, moral hazard and propitious selection," Journal of Risk and Uncertainty, Springer, vol. 38(1), pages 73-86, February.
    16. Armstrong, Mark, 1999. "Optimal Regulation with Unknown Demand and Cost Functions," Journal of Economic Theory, Elsevier, vol. 84(2), pages 196-215, February.
    17. Bertrand Villeneuve, 2000. "The Consequences for a Monopolistic Insurance Firm of Evaluating Risk Better than Customers: The Adverse Selection Hypothesis Reversed," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 25(1), pages 65-79, June.
    18. Alma Cohen & Liran Einav, 2007. "Estimating Risk Preferences from Deductible Choice," American Economic Review, American Economic Association, vol. 97(3), pages 745-788, June.
    19. Pierre Picard, 2012. "Economic Analysis of Insurance Fraud," Working Papers hal-00725561, HAL.
    20. Joop Hartog & Ada Ferrer‐i‐Carbonell & Nicole Jonker, 2002. "Linking Measured Risk Aversion to Individual Characteristics," Kyklos, Wiley Blackwell, vol. 55(1), pages 3-26.
    21. Leemore Dafny & Mark Duggan & Subramaniam Ramanarayanan, 2012. "Paying a Premium on Your Premium? Consolidation in the US Health Insurance Industry," American Economic Review, American Economic Association, vol. 102(2), pages 1161-1185, April.
    22. Crocker, Keith J & Snow, Arthur, 1986. "The Efficiency Effects of Categorical Discrimination in the Insurance Industry," Journal of Political Economy, University of Chicago Press, vol. 94(2), pages 321-344, April.
    23. Leemore S. Dafny, 2010. "Are Health Insurance Markets Competitive?," American Economic Review, American Economic Association, vol. 100(4), pages 1399-1431, September.
    24. 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.
    25. Pierre-Andre Chiappori & Bernard Salanie, 2000. "Testing for Asymmetric Information in Insurance Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 56-78, February.
    26. Michael Hoy, 1982. "Categorizing Risks in the Insurance Industry," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 97(2), pages 321-336.
    27. Laurie J. Bates & James I. Hilliard & Rexford E. Santerre, 2012. "Do Health Insurers Possess Market Power?," Southern Economic Journal, John Wiley & Sons, vol. 78(4), pages 1289-1304, April.
    28. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
    29. repec:dau:papers:123456789/5367 is not listed on IDEAS
    30. De Donder, Philippe & Hindriks, Jean, 2007. "Equilibrium social insurance with policy-motivated parties," European Journal of Political Economy, Elsevier, vol. 23(3), pages 624-640, September.
    31. Dana Jr. James D., 1993. "The Organization and Scope of Agents: Regulating Multiproduct Industries," Journal of Economic Theory, Elsevier, vol. 59(2), pages 288-310, April.
    32. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn.
    33. Nick Netzer & Florian Scheuer, 2010. "Competitive screening in insurance markets with endogenous wealth heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 187-211, August.
    34. Spence, Michael, 1978. "Product differentiation and performance in insurance markets," Journal of Public Economics, Elsevier, vol. 10(3), pages 427-447, December.
    35. David McCarthy & Olivia S. Mitchell, 2003. "International Adverse Selection in Life Insurance and Annuities," NBER Working Papers 9975, National Bureau of Economic Research, Inc.
    36. Amy Finkelstein & Kathleen McGarry, 2006. "Multiple Dimensions of Private Information: Evidence from the Long-Term Care Insurance Market," American Economic Review, American Economic Association, vol. 96(4), pages 938-958, September.
    37. Pau Olivella & Marcos Vera‐Hernández, 2013. "Testing for Asymmetric Information in Private Health Insurance-super-," Economic Journal, Royal Economic Society, vol. 123(567), pages 96-130, March.
    38. Armstrong, Mark & Rochet, Jean-Charles, 1999. "Multi-dimensional screening:: A user's guide," European Economic Review, Elsevier, vol. 43(4-6), pages 959-979, April.
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    Cited by:

    1. Rachel J. Huang & Arthur Snow & Larry Y. Tzeng, 2017. "Advantageous Selection in Insurance Markets with Compound Risk," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 42(2), pages 171-192, September.
    2. Barigozzi, Francesca & Burani, Nadia, 2016. "Competition and screening with motivated health professionals," Journal of Health Economics, Elsevier, vol. 50(C), pages 358-371.
    3. Buitrago, Giancarlo & Bardey, David, 2015. "Voluntary Health Plan Subsidies and Public Expenditure," Documentos CEDE Series 212854, Universidad de Los Andes, Economics Department.
    4. Chen, An & Li, Hong & Schultze, Mark, 2022. "Collective longevity swap: A novel longevity risk transfer solution and its economic pricing," Journal of Economic Behavior & Organization, Elsevier, vol. 201(C), pages 227-249.

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    More about this item

    Keywords

    insurance markets; asymmetric information; screening; gender discrimination; positive correlation test;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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