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Tractability in Incentive Contracting

Author

Listed:
  • Edmans, Alex

    (University of PA)

  • Gabaix, Xavier

    (NYU)

Abstract

This paper identifies a class of multiperiod agency problems in which the optimal contract is tractable (attainable in closed form). By modeling the noise before the action in each period, we force the contract to provide correct incentives state-by-state, rather than merely on average. This tightly constrains the set of admissible contracts and allows for a simple solution to the contracting problem. Our results continue to hold in continuous time, where noise and actions are simultaneous. We thus extend the tractable contracts of Holmstrom and Milgrom (1987) to settings that do not require exponential utility, a pecuniary cost of effort, Gaussian noise or continuous time. The contract's functional form is independent of the noise distribution. Moreover, if the cost of effort is pecuniary (multiplicative), the contract is linear (log-linear) in output and its slope is independent of the noise distribution, utility function and reservation utility.

Suggested Citation

  • Edmans, Alex & Gabaix, Xavier, 2010. "Tractability in Incentive Contracting," Working Papers 10-13, University of Pennsylvania, Wharton School, Weiss Center.
  • Handle: RePEc:ecl:upafin:10-13
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    References listed on IDEAS

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    1. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    2. Alex Edmans & Xavier Gabaix & Tomasz Sadzik & Yuliy Sannikov, 2009. "Dynamic Incentive Accounts," NBER Working Papers 15324, National Bureau of Economic Research, Inc.
    3. Lacker, Jeffrey M & Weinberg, John A, 1989. "Optimal Contracts under Costly State Falsification," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1345-1363, December.
    4. Bruno Biais & Thomas Mariotti & Jean-Charles Rochet & StÈphane Villeneuve, 2010. "Large Risks, Limited Liability, and Dynamic Moral Hazard," Econometrica, Econometric Society, vol. 78(1), pages 73-118, January.
    5. Ingolf Dittmann & Ernst Maug, 2007. "Lower Salaries and No Options? On the Optimal Structure of Executive Pay," Journal of Finance, American Finance Association, vol. 62(1), pages 303-343, February.
    6. Hall, Brian J. & Murphy, Kevin J., 2002. "Stock options for undiversified executives," Journal of Accounting and Economics, Elsevier, vol. 33(1), pages 3-42, February.
    7. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 599-617.
    8. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    9. Brian J. Hall & Jeffrey B. Liebman, 1998. "Are CEOs Really Paid Like Bureaucrats?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(3), pages 653-691.
    10. Bruno Biais & Thomas Mariotti & Guillaume Plantin & Jean-Charles Rochet, 2007. "Dynamic Security Design: Convergence to Continuous Time and Asset Pricing Implications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 345-390.
    11. Michael Landsberger & Isaac Meilijson, 1994. "The Generating Process and an Extension of Jewitt's Location Independent Risk Concept," Management Science, INFORMS, vol. 40(5), pages 662-669, May.
    12. Richard Arnott & Joseph E. Stiglitz, 1988. "Randomization with Asymmetric Information," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 344-362, Autumn.
    13. Krishna, Vijay & Maenner, Eliot, 2001. "Convex Potentials with an Application to Mechanism Design," Econometrica, Econometric Society, vol. 69(4), pages 1113-1119, July.
    14. Michael Kremer, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 551-575.
    15. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    16. PETER M. DeMARZO & YULIY SANNIKOV, 2006. "Optimal Security Design and Dynamic Capital Structure in a Continuous‐Time Agency Model," Journal of Finance, American Finance Association, vol. 61(6), pages 2681-2724, December.
    17. Alberto Bennardo & Pierre-André Chiappori & Joon Song, 2010. "Perks as Second Best Optimal Compensations," CSEF Working Papers 244, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    18. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    19. Baker, George P, 1992. "Incentive Contracts and Performance Measurement," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 598-614, June.
    20. Hui Ou-Yang, 2003. "Optimal Contracts in a Continuous-Time Delegated Portfolio Management Problem," Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 173-208.
    21. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 957-984.
    22. Hellwig, Martin F., 2007. "The role of boundary solutions in principal-agent problems of the Holmstrom-Milgrom type," Journal of Economic Theory, Elsevier, vol. 136(1), pages 446-475, September.
    23. Sappington, David, 1983. "Limited liability contracts between principal and agent," Journal of Economic Theory, Elsevier, vol. 29(1), pages 1-21, February.
    24. Harris, Milton & Raviv, Artur, 1979. "Optimal incentive contracts with imperfect information," Journal of Economic Theory, Elsevier, vol. 20(2), pages 231-259, April.
    25. Canice Prendergast, 2002. "The Tenuous Trade-off between Risk and Incentives," Journal of Political Economy, University of Chicago Press, vol. 110(5), pages 1071-1102, October.
    26. Jaeyoung Sung, 1995. "Linearity with Project Selection and Controllable Diffusion Rate in Continuous-Time Principal-Agent Problems," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 720-743, Winter.
    27. O. Ashenfelter & D. Card (ed.), 1999. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 3, number 3.
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    More about this item

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • G34 - Financial Economics - - Corporate Finance and Governance - - - Mergers; Acquisitions; Restructuring; Corporate Governance
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts

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