IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-13-00782.html
   My bibliography  Save this article

Moral hazard and optimal insurance contract with a continuum effort

Author

Listed:
  • Niousha Shahidi

    (EDC Paris Business School)

Abstract

In the research works, moral hazard is usually represented in two natural states (accident and no accident). In this case, the determination of the optimal contract could be made graphically. The mathematicaing is become more complicated when we consider infinite natural states and efforts under the monotone likelihood ratio property. In fact, the particular form of incentive constraints introduces a non-convex problem. In this paper, under technical conditions we show that the non-convex problem has a solution which is a new result and we determine the optimal contract such that the optimal wealth of the insured is a non-increasing function of the loss.

Suggested Citation

  • Niousha Shahidi, 2014. "Moral hazard and optimal insurance contract with a continuum effort," Economics Bulletin, AccessEcon, vol. 34(3), pages 1350-1360.
    • Handle: RePEc:ebl:ecbull:eb-13-00782
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2014/Volume34/EB-14-V34-I3-P124.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. S. Hun Seog, 2012. "Moral Hazard and Health Insurance When Treatment Is Preventive," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(4), pages 1017-1038, December.
    2. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    3. Page, Frank Jr., 1987. "The existence of optimal contracts in the principal-agent model," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 157-167, April.
    4. Landsberger, Michael & Meilijson, Isaac, 1990. "Demand for risky financial assets: A portfolio analysis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 204-213, February.
    5. Eeckhoudt, Louis & Gollier, Christian, 1995. "Demand for Risky Assets and the Monotone Probability Ratio Order," Journal of Risk and Uncertainty, Springer, vol. 11(2), pages 113-122, September.
    6. J. A. Mirrlees, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 3-21.
    7. James A. Mirrlees, 1976. "The Optimal Structure of Incentives and Authority Within an Organization," Bell Journal of Economics, The RAND Corporation, vol. 7(1), pages 105-131, Spring.
    8. Joseph G. Eisenhauer, 2004. "Risk Pooling in the Presence of Moral Hazard," Bulletin of Economic Research, Wiley Blackwell, vol. 56(1), pages 107-111, January.
    9. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
    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. Byford, Martin C., 2017. "Moral hazard in strategic decision making," International Journal of Industrial Organization, Elsevier, vol. 55(C), pages 114-136.
    2. Magill, Michael & Quinzii, Martine, 2008. "Normative properties of stock market equilibrium with moral hazard," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 785-806, July.
    3. Inés Macho-Stadler & David Pérez-Castrillo, 2018. "Moral hazard: Base models and two extensions," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 16, pages 453-485, Edward Elgar Publishing.
    4. Bender, Klaus & Richter, Andreas, 2002. "Optimales Vertragsdesign bei moralischem Risiko in der Rückversicherung," Working Papers on Risk and Insurance 9, University of Hamburg, Institute for Risk and Insurance.
    5. Ohad Kadan & Philip J. Reny & Jeroen M. Swinkels, 2017. "Existence of Optimal Mechanisms in Principal‐Agent Problems," Econometrica, Econometric Society, vol. 85, pages 769-823, May.
    6. Martin Byford, 2003. "Moral Hazard From Costless Hidden Actions," Working Papers 2003.03, School of Economics, La Trobe University.
    7. Ghossoub, Mario, 2010. "Supplement to "Belief heterogeneity in the Arrow-Borch-Raviv insurance model"," MPRA Paper 37717, University Library of Munich, Germany, revised 22 Mar 2012.
    8. Ravi Kanbur & Jukka Pirttilä & Matti Tuomala, 2008. "Moral Hazard, Income Taxation and Prospect Theory," Scandinavian Journal of Economics, Wiley Blackwell, vol. 110(2), pages 321-337, June.
    9. Carlier, G. & Dana, R.-A., 2005. "Existence and monotonicity of solutions to moral hazard problems," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 826-843, November.
    10. Balmaceda, Felipe & Balseiro, Santiago R. & Correa, José R. & Stier-Moses, Nicolás E., 2016. "Bounds on the welfare loss from moral hazard with limited liability," Games and Economic Behavior, Elsevier, vol. 95(C), pages 137-155.
    11. Jia Xie, 2015. "Information, Risk Sharing and Incentives in Agency Problems," Staff Working Papers 15-7, Bank of Canada.
    12. Mensch, Jeffrey, 2021. "Rational inattention and the monotone likelihood ratio property," Journal of Economic Theory, Elsevier, vol. 196(C).
    13. Kadan, Ohad & Swinkels, Jeroen M., 2013. "On the moral hazard problem without the first-order approach," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2313-2343.
    14. Bengt Holmström, 2017. "Pay for Performance and Beyond," American Economic Review, American Economic Association, vol. 107(7), pages 1753-1777, July.
    15. Shi, Xianwen, 2012. "Optimal auctions with information acquisition," Games and Economic Behavior, Elsevier, vol. 74(2), pages 666-686.
    16. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    17. Englmaier, Florian & Wambach, Achim, 2010. "Optimal incentive contracts under inequity aversion," Games and Economic Behavior, Elsevier, vol. 69(2), pages 312-328, July.
    18. Mario Tirelli, 2017. "Optimal Financial Contracts With Unobservable Investments," Departmental Working Papers of Economics - University 'Roma Tre' 0230, Department of Economics - University Roma Tre.
    19. Magill, Michael & Quinzii, Martine, 2008. "Normative properties of stock market equilibrium with moral hazard," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 785-806, July.
    20. Bond, Philip & Gomes, Armando, 2009. "Multitask principal-agent problems: Optimal contracts, fragility, and effort misallocation," Journal of Economic Theory, Elsevier, vol. 144(1), pages 175-211, January.

    More about this item

    Keywords

    insurance; moral hazard; optimal contract; non-convex problem; non-increasing rearrangement;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

    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:ebl:ecbull:eb-13-00782. 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: John P. Conley (email available below). General contact details of provider: .

    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.