IDEAS home Printed from
MyIDEAS: Login to save this paper or follow this series

Dynamic Incentive Contracts Under Parameter Uncertainty

  • Julien Prat

    (Institute of Economic Analysis (CSIC))

We analyze a long-term contracting problem involving common uncertainty about a parameter capturing the productivity of the relationship, and featuring a hidden action for the agent. We develop an approach that works for any utility function when the parameter and noise are normally distributed and when the effort and noise affect output additively. We then analytically solve for the optimal contract when the agent has exponential utility. We find that the Pareto frontier shifts out as information about the agent’s quality improves. In the standard spot-market setup, by contrast, when the parameter measures the agent’s “quality”, the Pareto frontier shifts inwards with better information. Commitment is therefore more valuable when quality is known more precisely. Incentives then are easier to provide because the agent has less room to manipulate the beliefs of the principal. Moreover, in contrast to results under one-period commitment, wage volatility declines as experience accumulates.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
Download Restriction: no

Paper provided by Society for Economic Dynamics in its series 2011 Meeting Papers with number 249.

in new window

Date of creation: 2011
Date of revision:
Handle: RePEc:red:sed011:249
Contact details of provider: Postal: Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA
Web page:

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Gibbons, Robert & Murphy, Kevin J, 1992. "Optimal Incentive Contracts in the Presence of Career Concerns: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 468-505, June.
  2. Leena Rudanko, 2006. "Labor Market Dynamics under Long Term Wage Contracting," 2006 Meeting Papers 314, Society for Economic Dynamics.
  3. Arpad Abraham & Nicola Pavoni, 2008. "Code for "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending: A Recursive Formulation"," Computer Codes 06-26, Review of Economic Dynamics.
  4. Noah Williams, 2008. "Persistent Private Information," 2008 Meeting Papers 360, Society for Economic Dynamics.
  5. Marek Kapicka, 2013. "Efficient Allocations in Dynamic Private Information Economies with Persistent Shocks: A First-Order Approach," Review of Economic Studies, Oxford University Press, vol. 80(3), pages 1027-1054.
  6. Jarque, Arantxa, 2010. "Repeated moral hazard with effort persistence," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2412-2423, November.
  7. Tobias Adrian & Mark M. Westerfield, 2009. "Disagreement and Learning in a Dynamic Contracting Model," Review of Financial Studies, Society for Financial Studies, vol. 22(10), pages 3873-3906, October.
  8. Hugo Hopenhayn & Arantxa Jarque, 2006. "Moral Hazard and Persistence," 2006 Meeting Papers 670, Society for Economic Dynamics.
  9. Ana Fernandes & Christopher Phelan, 1999. "A recursive formulation for repeated agency with history dependence," Staff Report 259, Federal Reserve Bank of Minneapolis.
  10. Bengt Holmstrom & Paul R. Milgrom, 1985. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Cowles Foundation Discussion Papers 742, Cowles Foundation for Research in Economics, Yale University.
  11. Noah Williams, 2004. "On Dynamic Principal-Agent Problems in Continuous Time," Levine's Bibliography 122247000000000426, UCLA Department of Economics.
  12. Manishi Prasad & Peter Wahlqvist & Rich Shikiar & Ya-Chen Tina Shih, 2004. "A," PharmacoEconomics, Springer Healthcare | Adis, vol. 22(4), pages 225-244.
  13. Jovanovic, Boyan, 1979. "Job Matching and the Theory of Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 972-90, October.
  14. Yahel Giat & Steve T. Hackman & Ajay Subramanian, 2010. "Investment under Uncertainty, Heterogeneous Beliefs, and Agency Conflicts," Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1360-1404, April.
  15. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 957-984.
  16. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-67, November.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:red:sed011:249. 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: (Christian Zimmermann)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.