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Tractability in Incentive Contracting

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  • Alex Edmans
  • Xavier Gabaix

Abstract

This article develops a framework that delivers tractable (i.e., closed-form) optimal contracts, with few restrictions on the utility function, cost of effort, or noise distribution. 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 illustrate the potential usefulness of our setup by a series of examples related to CEO incentives. In particular, the model derives predictions for the optimal measure of incentives and whether the contract should be convex, concave, or linear. The Author 2011. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com., Oxford University Press.

Suggested Citation

  • Alex Edmans & Xavier Gabaix, 2011. "Tractability in Incentive Contracting," The Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2865-2894.
    • Handle: RePEc:oup:rfinst:v:24:y:2011:i:9:p:2865-2894
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    File URL: http://hdl.handle.net/10.1093/rfs/hhr044
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    1. 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.
    2. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    8. Alex Edmans & Xavier Gabaix & Tomasz Sadzik & Yuliy Sannikov, 2009. "Dynamic Incentive Accounts," NBER Working Papers 15324, National Bureau of Economic Research, Inc.
    9. Baker, George P, 1992. "Incentive Contracts and Performance Measurement," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 598-614, June.
    10. 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.
    11. 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.
    12. 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.
    13. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    14. Richard Arnott & Joseph E. Stiglitz, 1988. "Randomization with Asymmetric Information," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 344-362, Autumn.
    15. Sappington, David, 1983. "Limited liability contracts between principal and agent," Journal of Economic Theory, Elsevier, vol. 29(1), pages 1-21, February.
    16. 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.
    17. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    18. O. Ashenfelter & D. Card (ed.), 1999. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 3, number 3.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. Krishna, Vijay & Maenner, Eliot, 2001. "Convex Potentials with an Application to Mechanism Design," Econometrica, Econometric Society, vol. 69(4), pages 1113-1119, July.
    25. Hui Ou-Yang, 2003. "Optimal Contracts in a Continuous-Time Delegated Portfolio Management Problem," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 173-208.
    26. 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.
    27. Harris, Milton & Raviv, Artur, 1979. "Optimal incentive contracts with imperfect information," Journal of Economic Theory, Elsevier, vol. 20(2), pages 231-259, April.
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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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