IDEAS home Printed from https://ideas.repec.org/a/red/issued/07-192.html
   My bibliography  Save this article

Unobservable Persistent Productivity and Long Term Contracts

Author

Listed:
  • Hugo Hopenhayn

    (UCLA)

  • Arantxa Jarque

    (Universidad Carlos III de Madrid)

Abstract

We study the problem of a firm that faces asymmetric information about the persistent productivity of its potential workers. In our framework, a worker's productivity is either assigned by nature at birth, or determined by an unobservable initial action of the worker that has persistent effects over time. We provide a characterization of the optimal dynamic compensation scheme that attracts only high productivity workers: consumption -- regardless of time period -- is ranked according to likelihood ratios of output histories, and the inverse of the marginal utility of consumption satisfies the martingale property derived in Rogerson (1985). However, in the case of i.i.d. output and square root utility we show that, contrary to the features of the optimal contract for a repeated moral hazard problem, the level and the variance of consumption are negatively correlated, due to the influence of early luck into future compensation. Moreover, in this example long-term inequality is lower under persistent private information. (Copyright: Elsevier)

Suggested Citation

  • Hugo Hopenhayn & Arantxa Jarque, 2010. "Unobservable Persistent Productivity and Long Term Contracts," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(2), pages 333-349, April.
  • Handle: RePEc:red:issued:07-192
    DOI: 10.1016/j.red.2009.06.003
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1016/j.red.2009.06.003
    Download Restriction: Access to full texts is restricted to ScienceDirect subscribers and institutional members. See http://www.sciencedirect.com/ for details.

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fudenberg, Drew & Holmstrom, Bengt & Milgrom, Paul, 1990. "Short-term contracts and long-term agency relationships," Journal of Economic Theory, Elsevier, vol. 51(1), pages 1-31, June.
    2. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    3. Edward P. Lazear, 2000. "The Power of Incentives," American Economic Review, American Economic Association, vol. 90(2), pages 410-414, May.
    4. Shavell, Steven & Weiss, Laurence, 1979. "The Optimal Payment of Unemployment Insurance Benefits over Time," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1347-1362, December.
    5. Jarque, Arantxa, 2010. "Repeated moral hazard with effort persistence," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2412-2423, November.
    6. George Baker & Michael Gibbs & Bengt Holmstrom, 1994. "The Wage Policy of a Firm," The Quarterly Journal of Economics, Oxford University Press, vol. 109(4), pages 921-955.
    7. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    8. Toshihiko Mukoyama & Ayşegül Şahin, 2005. "Repeated moral hazard with persistence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 831-854, June.
    9. Doepke, Matthias & Townsend, Robert M., 2006. "Dynamic mechanism design with hidden income and hidden actions," Journal of Economic Theory, Elsevier, vol. 126(1), pages 235-285, January.
    10. David H. Autor, 2001. "Why Do Temporary Help Firms Provide Free General Skills Training?," The Quarterly Journal of Economics, Oxford University Press, vol. 116(4), pages 1409-1448.
    11. Grochulski, Borys & Piskorski, Tomasz, 2010. "Risky human capital and deferred capital income taxation," Journal of Economic Theory, Elsevier, vol. 145(3), pages 908-943, May.
    12. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," Review of Economic Studies, Oxford University Press, vol. 70(3), pages 569-587.
    13. Jewitt, Ian & Kadan, Ohad & Swinkels, Jeroen M., 2008. "Moral hazard with bounded payments," Journal of Economic Theory, Elsevier, vol. 143(1), pages 59-82, November.
    14. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
    15. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
    16. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    17. Kim, Son Ku, 1995. "Efficiency of an Information System in an Agency Model," Econometrica, Econometric Society, vol. 63(1), pages 89-102, January.
    18. Robert Gibbons & Michael Waldman, 1999. "A Theory of Wage and Promotion Dynamics Inside Firms," The Quarterly Journal of Economics, Oxford University Press, vol. 114(4), pages 1321-1358.
    19. Illoong Kwon, 2006. "Incentives, wages, and promotions: theory and evidence," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 100-120, March.
    20. George Baker & Michael Gibbs & Bengt Holmstrom, 1994. "The Internal Economics of the Firm: Evidence from Personnel Data," The Quarterly Journal of Economics, Oxford University Press, vol. 109(4), pages 881-919.
    21. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    22. Gibbons, Robert & Waldman, Michael, 1999. "Careers in organizations: Theory and evidence," Handbook of Labor Economics,in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 36, pages 2373-2437 Elsevier.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jacek Rothert, 2015. "Monitoring, moral hazard, and turnover," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 355-374, February.
    2. Moritz Kuhn & Sebastian Koehne, 2013. "Optimal capital taxation for time-nonseparable preferences," 2013 Meeting Papers 322, Society for Economic Dynamics.
    3. Roman Inderst & Marcus Opp & Florian Hoffmann, 2016. "Deferred compensation and risk-taking incentives," 2016 Meeting Papers 674, Society for Economic Dynamics.
    4. Jin, Yu, 2012. "Essays on financial institutions and instability," ISU General Staff Papers 201201010800003361, Iowa State University, Department of Economics.

    More about this item

    Keywords

    Mechanism design; Moral hazard; Persistence;

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:red:issued:07-192. 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). General contact details of provider: http://edirc.repec.org/data/sedddea.html .

    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 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.

    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.