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On Repeated Moral Hazard with a Present Biased Agent

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
Date of revision:
Handle: RePEc:sef:csefwp:341
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  1. Grochulski, Borys & Kocherlakota, Narayana, 2010. "Nonseparable preferences and optimal social security systems," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2055-2077, November.
  2. repec:oup:qjecon:v:112:y:1997:i:2:p:443-77 is not listed on IDEAS
  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. 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.
  5. James M. Malcomson & Frans Spinnewyn, 1988. "The Multiperiod Principal-Agent Problem," Review of Economic Studies, Oxford University Press, vol. 55(3), pages 391-407.
  6. Laibson, David I., 1997. "Golden Eggs and Hyperbolic Discounting," Scholarly Articles 4481499, Harvard University Department of Economics.
  7. Chiappori, P.A. & Macho, I. & Rey, p. & Salanie, B., 1994. "Repeated Moral Hazard: The Role of Memory, Commitment, and the Acces to Credit Markets," Papers 06, Laval - Laboratoire Econometrie.
  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. 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.
  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. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
  12. Ohlendorf, Susanne & Schmitz, Patrick W., 2011. "Repeated moral hazard and contracts with memory: The case of risk-neutrality," MPRA Paper 28823, University Library of Munich, Germany.
  13. Murat Yilmaz, 2010. "Contracting with a Time-Inconsistent Agent," Working Papers 2010/15, Bogazici University, Department of Economics.
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