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On the first-order approach in principal-agent models with hidden borrowing and lending

  • Ábrahám, Árpád
  • Koehne, Sebastian
  • Pavoni, Nicola

We provide sufficient conditions for the validity of the first-order approach for two-period dynamic moral hazard problems where the agent can save and borrow secretly. The first-order approach is valid if the following conditions hold: (i) the agent has non-increasing absolute risk aversion utility (NIARA), (ii) the output technology has monotone likelihood ratios (MLR), and (iii) the distribution function of output is log-convex in effort (LCDF). Moreover, under these three conditions, the optimal contract is monotone in output. We also investigate a few possibilities of relaxing these requirements.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 146 (2011)
Issue (Month): 4 (July)
Pages: 1331-1361

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Handle: RePEc:eee:jetheo:v:146:y:2011:i:4:p:1331-1361
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. John R. Conlon, 2009. "Two New Conditions Supporting the First-Order Approach to Multisignal Principal-Agent Problems," Econometrica, Econometric Society, vol. 77(1), pages 249-278, 01.
  2. 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).
  3. Mitchell, Matthew & Zhang, Yuzhe, 2010. "Unemployment insurance with hidden savings," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2078-2107, November.
  4. Allen, Franklin, 1985. "Repeated principal-agent relationships with lending and borrowing," Economics Letters, Elsevier, vol. 17(1-2), pages 27-31.
  5. In-Uck Park, 2004. "Moral Hazard Contracting and Private Credit Markets," Econometrica, Econometric Society, vol. 72(3), pages 701-746, 05.
  6. 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.
  7. Abraham Arpad & Nicola Pavoni, 2004. "Efficient Allocations, with Moral Hazard and Hidden Borrowing and Lending," Levine's Bibliography 122247000000000138, UCLA Department of Economics.
  8. Atkeson, Andrew, 1991. "International Lending with Moral Hazard and Risk of Repudiation," Econometrica, Econometric Society, vol. 59(4), pages 1069-89, July.
  9. University of Venice & Nicola Pavoni & Piero Gottardi, 2008. "Ramsey Asset Taxation under Asymmetric Information," 2008 Meeting Papers 309, Society for Economic Dynamics.
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