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On Repeated Moral Hazard with a Present Biased Agent

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Abstract

This paper introduces time inconsistent preferences into a moral hazard setting where the agent is risk-averse. We derive a necessary optimality condition on the consumption allocation that is different from the so-called Inverse Euler Equation of Rogerson (1985). Specifically, inverse marginal utility is not a martingale, rather it follows a partial adjustment process. If the bias for the present is sufficiently large the optimal allocation will leave the agent with the desire to borrow. We extend the analysis to the case in which the principal does not know if the agent is time consistent or not. Finally, we show that in a setting with a risk-neutral agent and limited liability everything is as if the principal faces a time consistent agent.

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Paper provided by Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy in its series CSEF Working Papers with number 341.

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Date of creation: 25 Sep 2013
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Handle: RePEc:sef:csefwp:341

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Keywords: repeated moral hazard; time-inconsistency;

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  1. Narayana Kocherlakota & Borys Grochulski, 2007. "Nonseparable Preferences and Optimal Social Security systems," Working Papers 2007-1, University of Minnesota, Department of Economics, revised 14 Aug 2007.
  2. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  3. Matthew Rabin & Ted O'Donoghue, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March.
  4. Chiappori, P.A. & Macho, I. & Rey, P. & Salanié, B., 1989. "Repeated Moral Hazard: The Role of Memory, Commitment, and the Access to Credit Markets," DELTA Working Papers 89-18, DELTA (Ecole normale supérieure).
  5. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
  6. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
  7. Malcomson, James M & Spinnewyn, Frans, 1988. "The Multiperiod Principal-Agent Problem," Review of Economic Studies, Wiley Blackwell, vol. 55(3), pages 391-407, July.
  8. Richard A. Lambert, 1983. "Long-Term Contracts and Moral Hazard," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 441-452, Autumn.
  9. Susanne Ohlendorf & Patrick W. Schmitz, 2012. "Repeated Moral Hazard And Contracts With Memory: The Case Of Risk‐Neutrality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(2), pages 433-452, 05.
  10. Rey, Patrick & Salanie, Bernard, 1990. "Long-term, Short-term and Renegotiation: On the Value of Commitment in Contracting," Econometrica, Econometric Society, vol. 58(3), pages 597-619, May.
  11. Murat Yilmaz, 2010. "Contracting with a Time-Inconsistent Agent," Working Papers 2010/15, Bogazici University, Department of Economics.
  12. Fudenberg, Drew & Holmstrom, Bengt & Milgrom, Paul, 1990. "Short-term contracts and long-term agency relationships," Journal of Economic Theory, Elsevier, vol. 51(1), pages 1-31, June.
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