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Repeated Moral Hazard with Persistence

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  • MUKOYAMA, Toshihiko
  • SAHIN, Aysegül

Abstract

This paper considers the optimal contract when the current (hidden) action of an agent has a persistent effect on the future outcome. In this setting, the current outcome is not only a signal of the current action taken by the agent, but also conveys information about his past actions. The optimal contract in a two-effort choice, two-period setting is characterized analytically and numerically. In particular, it is shown that persistence tends to make compensation less responsive to the first-period outcome. At the extreme, there are cases where the agent is perfectly insured against the first-period outcome: the agent obtains the same utility regardless of the first-period outcome. The model is extended to a setting with three effort choices, a three-period setting, and an N-period setting with two-period persistence. Also discussed is an application of our model to the optimal unemployment insurance program. Some empirical evidence is then presented.

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Bibliographic Info

Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 01-2004.

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Length: 46 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:mtl:montec:01-2004

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Keywords: Repeated moral hazard; persistence; human capital; unemployment insurance;

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  1. Phelan, Christopher & Townsend, Robert M, 1991. "Computing Multi-period, Information-Constrained Optima," Review of Economic Studies, Wiley Blackwell, vol. 58(5), pages 853-81, October.
  2. 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 1347-62, December.
  3. Atila Abdulkadiroglu & Burhanettin Kuruscu & Aysegul Sahin, 2002. "Unemployment Insurance and the Role of Self-Insurance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(3), pages 681-703, July.
  4. Wang, Cheng & Williamson, Stephen D., 2002. "Moral Hazard, Optimal Unemployment Insurance and Experience Rating," Staff General Research Papers 10133, Iowa State University, Department of Economics.
  5. Ana Fernandes & Christopher Phelan, 1999. "A recursive formulation for repeated agency with history dependence," Staff Report 259, Federal Reserve Bank of Minneapolis.
  6. 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.
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Cited by:
  1. Hugo H. Hopenhayn & Arantxa Jarque, 2009. "Unobservable Persistant Productivity and Long Term Contracts," Economics Working Papers we092717, Universidad Carlos III, Departamento de Economía.
  2. Hugo Hopenhayn & Arantxa Jarque, 2007. "Moral hazard and persistence," Working Paper 07-07, Federal Reserve Bank of Richmond.
  3. Jarque, Arantxa, 2010. "Repeated moral hazard with effort persistence," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2412-2423, November.
  4. Braz Camargo & Elena Pastorino, 2012. "Learning-by-employing: the value of commitment under uncertainty," Staff Report 475, Federal Reserve Bank of Minneapolis.
  5. Gian Luca Clementi & Thomas Cooley & Chen Wang, 2004. "Stock Grants as a Committment Device," Working Papers 04-24, New York University, Leonard N. Stern School of Business, Department of Economics.
  6. Koehne, Sebastian & Kuhn, Moritz, 2013. "Optimal capital taxation for time-nonseparable preferences," MPRA Paper 45203, University Library of Munich, Germany.
  7. Ohlendorf, Susanne & Schmitz, Patrick W., 2008. "Repeated Moral Hazard, Limited Liability, and Renegotiation," CEPR Discussion Papers 6725, C.E.P.R. Discussion Papers.
  8. Gian Luca Clementi & Thomas F. Cooley & Cheng Wang, . "Stock Grants as Commitment Device," GSIA Working Papers 2002-E12, Carnegie Mellon University, Tepper School of Business.

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