IDEAS home Printed from
   My bibliography  Save this article

On Repeated Moral Hazard with Discounting


  • Stephen E. Spear
  • Sanjay Srivastava


In this paper, we analyze optimal contracts in an infinitely repeated agency model in which both the principal and agent discount the future. We show that there is a stationary representation of the optimal contract when the agent's conditional discounted expected utility is used as a state variable. This representation reduces the multi-period problem to a static variational problem which can be analyzed using standard variational techniques. This reduction is used to obtain several properties of the contract.

Suggested Citation

  • Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Oxford University Press, vol. 54(4), pages 599-617.
  • Handle: RePEc:oup:restud:v:54:y:1987:i:4:p:599-617.

    Download full text from publisher

    File URL:
    Download Restriction: Access to full text is restricted to subscribers.

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

    References listed on IDEAS

    1. Steven Salop, 1977. "The Noisy Monopolist: Imperfect Information, Price Dispersion and Price Discrimination," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 393-406.
    2. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    3. Kyle Bagwell & Garey Ramey, 1988. "Advertising and Limit Pricing," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 59-71, Spring.
    4. Irvine, F Owen, Jr, 1981. "An Optimal Middleman Firm Price Adjustment Policy: The "Short-Run Inventory-Based Pricing Policy."," Economic Inquiry, Western Economic Association International, vol. 19(2), pages 245-269, April.
    5. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    6. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    7. Williamson, Oliver E, 1979. "Transaction-Cost Economics: The Governance of Contractural Relations," Journal of Law and Economics, University of Chicago Press, vol. 22(2), pages 233-261, October.
    8. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    9. Milgrom, Paul & Roberts, John, 1986. "Price and Advertising Signals of Product Quality," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 796-821, August.
    10. Klein, Benjamin & Crawford, Robert G & Alchian, Armen A, 1978. "Vertical Integration, Appropriable Rents, and the Competitive Contracting Process," Journal of Law and Economics, University of Chicago Press, vol. 21(2), pages 297-326, October.
    11. John Conlisk & Eitan Gerstner & Joel Sobel, 1984. "Cyclic Pricing by a Durable Goods Monopolist," The Quarterly Journal of Economics, Oxford University Press, vol. 99(3), pages 489-505.
    12. Bagwell, Kyle, 1990. "Informational product differentiation as a barrier to entry," International Journal of Industrial Organization, Elsevier, vol. 8(2), pages 207-223, June.
    13. Joel Sobel, 1984. "The Timing of Sales," Review of Economic Studies, Oxford University Press, vol. 51(3), pages 353-368.
    14. Kyle Bagwell, 1987. "Introductory Price as a Signal of Cost in a Model of Repeat Business," Review of Economic Studies, Oxford University Press, vol. 54(3), pages 365-384.
    15. Shilony, Yuval, 1977. "Mixed pricing in oligopoly," Journal of Economic Theory, Elsevier, vol. 14(2), pages 373-388, April.
    Full references (including those not matched with items on IDEAS)

    More about this item


    This item is featured on the following reading lists or Wikipedia pages:
    1. Recursive Macroeconomic Theory


    Access and download statistics


    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:oup:restud:v:54:y:1987:i:4:p:599-617.. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Oxford University Press) or (Christopher F. Baum). General contact details of provider: .

    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.

    We have no references for this item. You can help adding them by using 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.