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Repeated moral hazard with effort persistence

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Listed author(s):
  • Arantxa Jarque

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
Handle: RePEc:fip:fedrwp:08-04
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Keywords: Microeconomics ; Economics;

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Find related papers by 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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  1. Christopher Phelan & Robert M. Townsend, 1991. "Computing Multi-Period, Information-Constrained Optima," Review of Economic Studies, Oxford University Press, vol. 58(5), pages 853-881.
  2. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Oxford University Press, vol. 54(4), pages 599-617.
  3. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
  4. Abraham, Arpad & Pavoni, Nicola, 2004. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending," Working Papers 04-05, Duke University, Department of Economics.
  5. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
  6. 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, 06.
  7. Emmanuel Farhi, 2010. "Capital Taxation and Ownership When Markets Are Incomplete," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 908-948.
  8. Atkeson, Andrew, 1991. "International Lending with Moral Hazard and Risk of Repudiation," Econometrica, Econometric Society, vol. 59(4), pages 1069-1089, July.
  9. Narayana Kocherlakota, 2004. "Figuring out the Impact of Hidden Savings on Optimal Unemployment Insurance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 541-554, July.
  10. 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.
  11. 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.
  12. Illoong Kwon, 2006. "Incentives, wages, and promotions: theory and evidence," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 100-120, 03.
  13. 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.
  14. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
  15. 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.
  16. Phelan, J.C., 1990. "Incentives, Insurance And The Variability Of Con Somption And Leisure," Working papers 90-26, Wisconsin Madison - Social Systems.
  17. 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.
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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. Jovanovic, Boyan & Prat, Julien, 2014. "Dynamic contracts when agent's quality is unknown," Theoretical Economics, Econometric Society, vol. 9(3), September.
  3. 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.
  4. 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.
  5. Arantxa Jarque, 2010. "Hidden effort, learning by doing, and wage dynamics," Economic Quarterly, Federal Reserve Bank of Richmond, issue 4Q, pages 339-372.
  6. Simon Board & Moritz Meyer‐ter‐Vehn, 2013. "Reputation for Quality," Econometrica, Econometric Society, vol. 81(6), pages 2381-2462, November.
  7. Jean Guillaume Forand, 2012. "Useless Prevention vs. Costly Remediation," Working Papers 1207, University of Waterloo, Department of Economics, revised Feb 2015.
  8. Monnet, Cyril & Koeppl, Thorsten Volker & Temzelides, Ted, 2006. "A dynamic model of settlement," Working Paper Series 604, European Central Bank.
  9. Koeppl, Thorsten & Monnet, Cyril & Temzelides, Ted, 2008. "A dynamic model of settlement," Journal of Economic Theory, Elsevier, vol. 142(1), pages 233-246, September.
  10. Koehne, Sebastian & Kuhn, Moritz, 2013. "Optimal capital taxation for time-nonseparable preferences," MPRA Paper 45203, University Library of Munich, Germany.
  11. 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.
  12. Braz Camargo & Elena Pastorino, 2012. "Learning-by-employing: the value of commitment under uncertainty," Staff Report 475, Federal Reserve Bank of Minneapolis.
  13. Roman Inderst & Marcus Opp & Florian Hoffmann, 2016. "Deferred compensation and risk-taking incentives," 2016 Meeting Papers 674, Society for Economic Dynamics.

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