IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v81y2019icp22-30.html
   My bibliography  Save this article

Linear price equilibria in a non-exclusive insurance market

Author

Listed:
  • Loss, Frédéric
  • Piaser, Gwenaël

Abstract

We consider a competitive insurance market in which agents can privately enter into multi-contractual insurance relationships and undertake hidden actions. We study the existence of a linear equilibrium when insurance companies have no restrictions on their pricing rules. For CARA utility functions, we show that a linear equilibrium always exists. For DARA utility functions, we provide sufficient conditions under which a linear equilibrium exists. We show that the linear equilibrium is unique, actuarially unfair, and induces partial insurance coverage. Lastly, we show that the linear equilibrium is always third-best efficient.

Suggested Citation

  • Loss, Frédéric & Piaser, Gwenaël, 2019. "Linear price equilibria in a non-exclusive insurance market," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 22-30.
    • Handle: RePEc:eee:mateco:v:81:y:2019:i:c:p:22-30
    DOI: 10.1016/j.jmateco.2018.12.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030440681830140X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2018.12.006?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Alberto Bisin & Danilo Guaitoli, 2004. "Moral Hazard and Nonexclusive Contracts," RAND Journal of Economics, The RAND Corporation, vol. 35(2), pages 306-328, Summer.
    2. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
    3. Attar, Andrea & Chassagnon, Arnold, 2009. "On moral hazard and nonexclusive contracts," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 511-525, September.
    4. Laurence Ales, 2009. "Adverse Selection and Non-exclusive Contracts," 2009 Meeting Papers 854, Society for Economic Dynamics.
    5. MOSSIN, Jan, 1968. "Aspects of rational insurance purchasing," LIDAM Reprints CORE 23, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Charles M. Kahn & Dilip Mookherjee, 1998. "Competition and Incentives with Nonexclusive Contracts," RAND Journal of Economics, The RAND Corporation, vol. 29(3), pages 443-465, Autumn.
    7. Giuseppe Bertola & Winfried Koeniger, 2015. "Hidden insurance in a moral-hazard economy," RAND Journal of Economics, RAND Corporation, vol. 46(4), pages 777-790, October.
    8. Richard J. Arnott & Joseph E. Stiglitz, 1988. "The Basic Analytics of Moral Hazard," NBER Working Papers 2484, National Bureau of Economic Research, Inc.
    9. Christine A. Parlour & Uday Rajan, 2001. "Competition in Loan Contracts," American Economic Review, American Economic Association, vol. 91(5), pages 1311-1328, December.
    10. Richard Arnott & Joseph Stiglitz, 1991. "Equilibrium in Competitive Insurance Markets with Moral Hazard," NBER Working Papers 3588, National Bureau of Economic Research, Inc.
    11. Amy Finkelstein & James Poterba, 2004. "Adverse Selection in Insurance Markets: Policyholder Evidence from the U.K. Annuity Market," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 183-208, February.
    12. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
    13. Helpman, Elhanan & Laffont, Jean-Jacques, 1975. "On moral hazard in general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 10(1), pages 8-23, February.
    14. Mark V. Pauly, 1974. "Overinsurance and Public Provision of Insurance: The Roles of Moral Hazard and Adverse Selection," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 88(1), pages 44-62.
    15. 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.
    16. repec:bla:scandj:v:90:y:1988:i:3:p:383-413 is not listed on IDEAS
    17. Amy Finkelstein & James Poterba, 2002. "Selection Effects in the United Kingdom Individual Annuities Market," Economic Journal, Royal Economic Society, vol. 112(476), pages 28-50, January.
    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. Frédéric Loss & Gwanaël Piaser, 2013. "Linear Prices Equilibria and Nonexclusive Insurance Market," Working Papers hal-00870113, HAL.
    2. repec:ipg:wpaper:2014-042 is not listed on IDEAS
    3. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2021. "Competitive Nonlinear Pricing under Adverse Selection," TSE Working Papers 21-1201, Toulouse School of Economics (TSE), revised Aug 2022.
    4. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Multiple Contracting in Insurance Markets," IDEI Working Papers 839, Institut d'Économie Industrielle (IDEI), Toulouse, revised Sep 2016.
    5. , & , & ,, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
    6. Andrea Attar & Thomas Mariotti & François Salanié, 2011. "Nonexclusive Competition in the Market for Lemons," Econometrica, Econometric Society, vol. 79(6), pages 1869-1918, November.
    7. Andrea Attar & Thomas Mariotti & François Salanié, 2022. "Regulating Insurance Markets: Multiple Contracting And Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(3), pages 981-1020, August.
    8. Joseph E. Stiglitz & Jungyoll Yun & Andrew Kosenko, 2017. "Equilibrium in a Competitive Insurance Market Under Adverse Selection with Endogenous Information," NBER Working Papers 23556, National Bureau of Economic Research, Inc.
    9. Laurence Ales, 2009. "Adverse Selection and Non-exclusive Contracts," 2009 Meeting Papers 854, Society for Economic Dynamics.
    10. Andrea Attar & Thomas Mariotti & François Salanié, 2021. "Entry-Proofness and Discriminatory Pricing under Adverse Selection," American Economic Review, American Economic Association, vol. 111(8), pages 2623-2659, August.
    11. Ales, Laurence & Maziero, Pricila, 2016. "Non-exclusive dynamic contracts, competition, and the limits of insurance," Journal of Economic Theory, Elsevier, vol. 166(C), pages 362-395.
    12. Attar, Andrea & Chassagnon, Arnold, 2009. "On moral hazard and nonexclusive contracts," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 511-525, September.
    13. Andrea Attar & Eloisa Campioni & Gwenaël Piaser & Uday Rajan, 2012. "Competing mechanism games of moral hazard: communication and robustness," Review of Economic Design, Springer;Society for Economic Design, vol. 16(4), pages 283-296, December.
    14. Attar Andrea & Campioni Eloisa & Piaser Gwenael, 2006. "Multiple Lending and Constrained Efficiency in the Credit Market," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-37, October.
    15. Green, Daniel & Liu, Ernest, 2021. "A dynamic theory of multiple borrowing," Journal of Financial Economics, Elsevier, vol. 139(2), pages 389-404.
    16. Thomas Mariotti, 2016. "Multiple Contracting in Insurance Markets," 2016 Meeting Papers 820, Society for Economic Dynamics.
    17. repec:dau:papers:123456789/4717 is not listed on IDEAS
    18. Hellwig, Martin F., 2005. "Nonlinear incentive provision in Walrasian markets: a Cournot convergence approach," Journal of Economic Theory, Elsevier, vol. 120(1), pages 1-38, January.
    19. Raj Chetty & Amy Finkelstein, 2012. "Social Insurance: Connecting Theory to Data," NBER Working Papers 18433, National Bureau of Economic Research, Inc.
    20. 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.
    21. Chang, Jen-Wen, 2020. "Monitoring and competing principals: A double-edged sword," Journal of Economic Theory, Elsevier, vol. 189(C).
    22. Andrea Attar & Catherine Casamatta & Arnold Chassagnon & Jean-Paul Décamps, 2019. "Multiple Lenders, Strategic Default, and Covenants," American Economic Journal: Microeconomics, American Economic Association, vol. 11(2), pages 98-130, May.

    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:eee:mateco:v:81:y:2019:i:c:p:22-30. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.