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Repeated moral hazard with effort persistence

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Arantxa Jarque

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Abstract

I study a problem of repeated moral hazard in which 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. To illustrate, I present the computed solution of an example. ; See also: WP 07-07

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Paper provided by Federal Reserve Bank of Richmond in its series Working Paper with number 08-04.

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Date of creation: 2008
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Handle: RePEc:fip:fedrwp:08-04

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Keywords: Microeconomics ; Economics;

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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.:
  1. Emmanuel Farhi, 2007. "Capital Taxation and Ownership when Markets are Incomplete," NBER Working Papers 13390, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
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  3. Abraham, Arpad & Pavoni, Nicola, 2004. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending," Working Papers 04-05, Duke University, Department of Economics. [Downloadable!]
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  4. Spear, Stephen E & Srivastava, Sanjay, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Blackwell Publishing, vol. 54(4), pages 599-617, October. [Downloadable!] (restricted)
  5. Toshihiko Mukoyama & Ayşegül Şahin, 2005. "Repeated moral hazard with persistence," Economic Theory, Springer, vol. 25(4), pages 831-854, 06. [Downloadable!] (restricted)
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  6. Atkeson Andrew & Lucas Jr. , Robert E., 1995. "Efficiency and Equality in a Simple Model of Efficient Unemployment Insurance," Journal of Economic Theory, Elsevier, vol. 66(1), pages 64-88, June. [Downloadable!] (restricted)
  7. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January. [Downloadable!] (restricted)
  8. Illoong Kwon, 2006. "Incentives, Wages, and Promotions: Theory and Evidence," RAND Journal of Economics, The RAND Corporation, vol. 37(1), pages 100-120, Spring.
  9. Thomas, Jonathan & Worrall, Tim, 1990. "Income fluctuation and asymmetric information: An example of a repeated principal-agent problem," Journal of Economic Theory, Elsevier, vol. 51(2), pages 367-390, August. [Downloadable!] (restricted)
  10. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-90, September. [Downloadable!] (restricted)
  11. Phelan, J.C., 1990. "Incentives, Insurance And The Variability Of Con Somption And Leisure," Working papers 90-26, Wisconsin Madison - Social Systems.
  12. Phelan, Christopher, 1994. "Incentives, insurance, and the variability of consumption and leisure," Journal of Economic Dynamics and Control, Elsevier, vol. 18(3-4), pages 581-599. [Downloadable!] (restricted)
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(explanations, 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.)

  1. Hugo Hopenhayn & Arantxa Jarque, . "Unobservable Persistent Productivity and Long Term Contracts," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics. [Downloadable!] (restricted)
    Other versions:
  2. Hugo Hopenhayn & Arantxa Jarque, 2007. "Moral hazard and persistence," Working Paper 07-07, Federal Reserve Bank of Richmond. [Downloadable!]
    Other versions:
  3. Thorsten Koeppl & Cyril Monnet & Ted Temzelides, 2006. "A dynamic model of settlement," Working Paper Series 604, European Central Bank. [Downloadable!]
    Other versions:
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