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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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Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2005 Meeting Papers with number 428.

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Date of creation: 2005
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Handle: RePEc:red:sed005:428

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Postal: Society for Economic Dynamics Christian Zimmermann Economic Research Federal Reserve Bank of St. Louis PO Box 442 St. Louis MO 63166-0442 USA
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Web page: http://www.EconomicDynamics.org/society.htm
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Keywords: mechanism design; repeated agency; persistence;

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References

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  1. Atkeson, Andrew, 1991. "International Lending with Moral Hazard and Risk of Repudiation," Econometrica, Econometric Society, vol. 59(4), pages 1069-89, July.
  2. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-90, September.
  3. 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.
  4. 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.
  5. 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.
  6. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-67, November.
  7. Narayana Kocherlakota, 2010. "Figuring out the impact of hidden savings on optimal unemployment insuranc," Levine's Working Paper Archive 506439000000000291, David K. Levine.
  8. 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.
  9. Toshihiko Mukoyama & Ayşegül Şahin, 2005. "Repeated moral hazard with persistence," Economic Theory, Springer, vol. 25(4), pages 831-854, 06.
  10. Emmanuel Farhi, 2007. "Capital Taxation and Ownership when Markets are Incomplete," NBER Working Papers 13390, National Bureau of Economic Research, Inc.
  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. Spear, Stephen E & Srivastava, Sanjay, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Wiley Blackwell, vol. 54(4), pages 599-617, October.
  13. Phelan, J.C., 1990. "Incentives, Insurance And The Variability Of Con Somption And Leisure," Working papers 90-26, Wisconsin Madison - Social Systems.
  14. Illoong Kwon, 2006. "Incentives, wages, and promotions: theory and evidence," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 100-120, 03.
  15. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
  16. Abraham Arpad & Nicola Pavoni, 2004. "Efficient Allocations, with Moral Hazard and Hidden Borrowing and Lending," Levine's Bibliography 122247000000000138, UCLA Department of Economics.
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Citations

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Cited by:
  1. Jovanovic, Boyan & Prat, Julien, 0. "Dynamic contracts when agent'’s quality is unknown," Theoretical Economics, Econometric Society.
  2. Thorsten Koeppl & Cyril Monnet & Ted Temzelides, 2006. "A Dynamic Model of Settlement," Working Papers 1053, Queen's University, Department of Economics.
  3. Koehne, Sebastian & Kuhn, Moritz, 2013. "Optimal capital taxation for time-nonseparable preferences," MPRA Paper 45203, University Library of Munich, Germany.
  4. Simon Board & Moritz Meyer‐ter‐Vehn, 2013. "Reputation for Quality," Econometrica, Econometric Society, vol. 81(6), pages 2381-2462, November.
  5. Jean Guillaume Forand, 2012. "Useless Prevention vs. Costly Remediation," Working Papers 1207, University of Waterloo, Department of Economics, revised Dec 2012.
  6. Prat, Julien & Jovanovic, Boyan, 2010. "Dynamic Incentive Contracts under Parameter Uncertainty," IZA Discussion Papers 5323, Institute for the Study of Labor (IZA).
  7. Hugo H. Hopenhayn & Arantxa Jarque, 2009. "Unobservable Persistant Productivity and Long Term Contracts," Economics Working Papers we092717, Universidad Carlos III, Departamento de Economía.
  8. Braz Camargo & Elena Pastorino, 2012. "Learning-by-employing: the value of commitment under uncertainty," Staff Report 475, Federal Reserve Bank of Minneapolis.
  9. Arantxa Jarque, 2010. "Hidden effort, learning by doing, and wage dynamics," Economic Quarterly, Federal Reserve Bank of Richmond, issue 4Q, pages 339-372.
  10. Hugo Hopenhayn & Arantxa Jarque, 2006. "Moral Hazard and Persistence," 2006 Meeting Papers 670, Society for Economic Dynamics.
  11. Jacek Rothert, 2009. "Monitoring, Moral Hazard and Turnover," Department of Economics Working Papers 130124, The University of Texas at Austin, Department of Economics, revised Sep 2012.

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