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Repeated Moral Hazard with Effort Persistence

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  • Arantxa Jarque

Abstract

I study a problem of repeated moral hazard where the effect of effort is persistent over time: each period's outcome distribution is a function of a geometrically distributed lag of past efforts. I show that when the utility of the agent is linear in effort, a simple rearrangement of terms in his lifetime utility translates this problem into a related standard repeated moral hazard. The solutions for consumption in the two problems are observationally equivalent, implying that the main properties of the optimal contract remain unchanged with persistence. For illustration, I present the computed solution of an example.
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  • Arantxa Jarque, 2005. "Repeated Moral Hazard with Effort Persistence," 2005 Meeting Papers 428, Society for Economic Dynamics.
    • Handle: RePEc:red:sed005:428
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    References listed on IDEAS

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    12. Arpad Abraham & Nicola Pavoni, 2008. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending: A Recursive Formulation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 781-803, October.
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    Cited by:

    1. Hugo Hopenhayn & Arantxa Jarque, 2006. "Moral Hazard and Persistence," 2006 Meeting Papers 670, Society for Economic Dynamics.
    2. 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.
    3. Arantxa Jarque, 2010. "Hidden effort, learning by doing, and wage dynamics," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 96(4Q), pages 339-372.
    4. , & ,, 2014. "Dynamic contracts when agent's quality is unknown," Theoretical Economics, Econometric Society, vol. 9(3), September.
    5. 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.
    6. Koeppl, Thorsten & Monnet, Cyril & Temzelides, Ted, 2008. "A dynamic model of settlement," Journal of Economic Theory, Elsevier, vol. 142(1), pages 233-246, September.
    7. Koehne, Sebastian & Kuhn, Moritz, 2013. "Optimal capital taxation for time-nonseparable preferences," MPRA Paper 45203, University Library of Munich, Germany.
    8. Florian Hoffmann & Roman Inderst & Marcus Opp, 2021. "Only Time Will Tell: A Theory of Deferred Compensation [Motivating Innovation in Newly Public Firms]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(3), pages 1253-1278.
    9. Braz Camargo & Elena Pastorino, 2016. "Learning-by-Employing: The Value of Commitment under Uncertainty," Journal of Labor Economics, University of Chicago Press, vol. 34(3), pages 581-620.
    10. Forand, Jean Guillaume, 2015. "Useless Prevention vs. Costly Remediation," Quarterly Journal of Political Science, now publishers, vol. 10(2), pages 187-220, June.
    11. Roman Inderst & Marcus Opp & Florian Hoffmann, 2016. "Deferred compensation and risk-taking incentives," 2016 Meeting Papers 674, Society for Economic Dynamics.
    12. Simon Board & Moritz Meyer‐ter‐Vehn, 2013. "Reputation for Quality," Econometrica, Econometric Society, vol. 81(6), pages 2381-2462, November.
    13. Liu, Wenyue & Cadenillas, Abel, 2023. "Optimal insurance contracts for a shot-noise Cox claim process and persistent insured's actions," Insurance: Mathematics and Economics, Elsevier, vol. 109(C), pages 69-93.

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    More about this item

    Keywords

    mechanism design; repeated agency; persistence;
    All these keywords.

    JEL classification:

    • D30 - Microeconomics - - Distribution - - - General
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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