IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/9864.html
   My bibliography  Save this paper

Hidden Insurance in a Moral Hazard Economy

Author

Listed:
  • Bertola, Giuseppe
  • Koeniger, Winfried

Abstract

We consider an economy where individuals privately choose effort and trade competitively priced securities that pay off with effort-determined probability. We show that if insurance against a negative shock is sufficiently incomplete, then standard functional form restrictions ensure that individual objective functions are optimized by an effort and insurance combination that is unique and satisfies first- and second-order conditions. Modeling insurance incompleteness in terms of costly production of private insurance services, we characterize the constrained inefficiency arising in general equilibrium from competitive pricing of non-exclusive financial contracts.

Suggested Citation

  • Bertola, Giuseppe & Koeniger, Winfried, 2014. "Hidden Insurance in a Moral Hazard Economy," CEPR Discussion Papers 9864, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:9864
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP9864
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

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

    Other versions of this item:

    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. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    3. Ábrahám, Árpád & Koehne, Sebastian & Pavoni, Nicola, 2011. "On the first-order approach in principal-agent models with hidden borrowing and lending," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1331-1361, July.
    4. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    5. Bisin, A. & Geanakoplos, J.D. & Gottardi, P. & Minelli, E. & Polemarchakis, H., 2011. "Markets and contracts," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 279-288.
    6. Krueger, Dirk & Perri, Fabrizio, 2011. "Public versus private risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 920-956, May.
    7. Bertola, Giuseppe & Koeniger, Winfried, 2014. "On the validity of the first-order approach with moral hazard and hidden assets," Economics Letters, Elsevier, vol. 124(3), pages 402-405.
    8. Arnott, Richard & Stiglitz, Joseph E., 1986. "Moral hazard and optimal commodity taxation," Journal of Public Economics, Elsevier, vol. 29(1), pages 1-24, February.
    9. Bisin, A. & Gottardi, P., 1999. "Competitive Equilibria with Asymmetric Information: Existence with Entry Fees," Working Papers 99-03, C.V. Starr Center for Applied Economics, New York University.
    10. 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.
    11. Harold L. Cole & Narayana R. Kocherlakota, 2001. "Efficient Allocations with Hidden Income and Hidden Storage," Review of Economic Studies, Oxford University Press, vol. 68(3), pages 523-542.
    12. University of Venice & Nicola Pavoni & Piero Gottardi, 2008. "Ramsey Asset Taxation under Asymmetric Information," 2008 Meeting Papers 309, Society for Economic Dynamics.
    13. Árpád Ábrahám & Nicola Pavoni, 2005. "The Efficient Allocation of Consumption under Moral Hazard and Hidden Access to the Credit Market," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 370-381, 04/05.
    14. 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.
    15. Bertola, Giuseppe & Koeniger, Winfried, 2010. "Public and Private Insurance with Costly Transactions," IZA Discussion Papers 5201, Institute of Labor Economics (IZA).
    16. Mikhail Golosov & Aleh Tsyvinski, 2007. "Optimal Taxation with Endogenous Insurance Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(2), pages 487-534.
    17. 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.
    18. Bizer, David S & DeMarzo, Peter M, 1992. "Sequential Banking," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 41-61, February.
    19. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    20. Raj Chetty & Emmanuel Saez, 2010. "Optimal Taxation and Social Insurance with Endogenous Private Insurance," NBER Chapters, in: Income Taxation, Trans-Atlantic Public Economics Seminar (TAPES), pages 85-114, National Bureau of Economic Research, Inc.
    21. Bisin, Alberto & Gottardi, Piero, 1999. "Competitive Equilibria with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 87(1), pages 1-48, July.
    22. Bruce C. Greenwald & Joseph E. Stiglitz, 1986. "Externalities in Economies with Imperfect Information and Incomplete Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(2), pages 229-264.
    23. Frédéric Loss & Gwanaël Piaser, 2013. "Linear Prices Equilibria and Nonexclusive Insurance Market," Working Papers hal-00870113, HAL.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Martin, Elliot PhD & Shaheen, Susan PhD & Stocker, Adam, 2021. "Impacts of Transportation Network Companies on Vehicle Miles Traveled, Greenhouse Gas Emissions, and Travel Behavior Analysis from the Washington D.C., Los Angeles, and San Francisco Markets," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt90b6d7r3, Institute of Transportation Studies, UC Berkeley.
    3. Bertola, Giuseppe & Koeniger, Winfried, 2014. "On the validity of the first-order approach with moral hazard and hidden assets," Economics Letters, Elsevier, vol. 124(3), pages 402-405.

    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. Bertola, Giuseppe & Koeniger, Winfried, 2010. "Public and Private Insurance with Costly Transactions," IZA Discussion Papers 5201, Institute of Labor Economics (IZA).
    2. Daron Acemoglu & Alp Simsek, 2010. "Moral Hazard and Efficiency in General Equilibrium with Anonymous Trading," Levine's Working Paper Archive 661465000000000232, David K. Levine.
    3. Bertola, Giuseppe & Koeniger, Winfried, 2014. "On the validity of the first-order approach with moral hazard and hidden assets," Economics Letters, Elsevier, vol. 124(3), pages 402-405.
    4. 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.
    5. Mikhail Golosov & Aleh Tsyvinski, 2007. "Optimal Taxation with Endogenous Insurance Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(2), pages 487-534.
    6. 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.
    7. Arpad Abraham & Nicola Pavoni, 2008. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending: A Recursive Formulation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 781-803, October.
    8. Paweł Doligalski & Abdoulaye Ndiaye & Nicolas Werquin, 2023. "Redistribution with Performance Pay," Journal of Political Economy Macroeconomics, University of Chicago Press, vol. 1(2), pages 371-402.
    9. Ethan Ligon & Laura Schechter, 2020. "Structural Experimentation to Distinguish between Models of Risk Sharing with Frictions in Rural Paraguay," Economic Development and Cultural Change, University of Chicago Press, vol. 69(1), pages 1-50.
    10. Raith, Michael, 2012. "Optimal incentives and the time dimension of performance measurement," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2158-2189.
    11. 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.
    12. 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.
    13. Andrea Attar & Thomas Mariotti & François Salanié, 2011. "Nonexclusive Competition in the Market for Lemons," Econometrica, Econometric Society, vol. 79(6), pages 1869-1918, November.
    14. 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.
    15. A. Citanna & P. Siconolfi, 2016. "Designing insurance markets with moral hazard and nonexclusive contracts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 325-360, June.
    16. Stefanie Stantcheva, 2020. "Dynamic Taxation," Annual Review of Economics, Annual Reviews, vol. 12(1), pages 801-831, August.
    17. Sebastian Koehne & Nicola Pavoni & Arpad Abraham, 2011. "Optimal Income Taxation with Asset Accumulation," 2011 Meeting Papers 1161, Society for Economic Dynamics.
    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. Carvajal, Andrés & Thereze, João, 2023. "Insurance contracts and financial markets," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 8-19.
    20. Roozbeh Hosseini, 2015. "Adverse Selection in the Annuity Market and the Role for Social Security," Journal of Political Economy, University of Chicago Press, vol. 123(4), pages 941-984.

    More about this item

    Keywords

    Constrained efficiency; First-order approach; Hidden action; Principal agent;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:cpr:ceprdp:9864. 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: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    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.