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Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending: A Recursive Formulation

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Author Info
Arpad Abraham (University of Rochester)
Nicola Pavoni (University College London)

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Abstract

We propose a tractable recursive framework to study the optimal allocation of consumption and effort in a dynamic setting with moral hazard where agents have secret access to the credit market or to storage. The recursive structure is based on a generalized first order approach, whose validity must be verified ex-post. Thanks to the recursive formulation of the optimal contract, the verification procedure turns out to be numerically parsimonious as it can be performed using standard dynamic programming techniques with only one endogenous state variable: The agent's level of assets. We study the performance of our ex-post verification test in practice by solving numerically three representative infinite horizon examples. (Copyright: Elsevier)

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File URL: http://dx.doi.org/10.1016/j.red.2008.05.001
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Publisher Info
Article provided by Elsevier for the Society for Economic Dynamics in its journal Review of Economic Dynamics.

Volume (Year): 11 (2008)
Issue (Month): 4 (October)
Pages: 781-803
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Handle: RePEc:red:issued:06-26

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Related research
Keywords: Moral hazard; Hidden savings; Efficiency; Recursive contracts; First-order approach; Ex post verification;

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information
H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

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    Other versions:
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  16. Narayana Kocherlakota, 2004. "Figuring out the Impact of Hidden Savings on Optimal Unemployment Insurance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 541-554, July. [Downloadable!] (restricted)
  17. 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. [Downloadable!] (restricted)
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  18. Christopher Phelan & Ennio Stacchetti, 2001. "Sequential Equilibria in a Ramsey Tax Model," Econometrica, Econometric Society, vol. 69(6), pages 1491-1518, November. [Downloadable!] (restricted)
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  19. Allen, Franklin, 1985. "Repeated principal-agent relationships with lending and borrowing," Economics Letters, Elsevier, vol. 17(1-2), pages 27-31. [Downloadable!] (restricted)
  20. Atkeson, Andrew, 1991. "International Lending with Moral Hazard and Risk of Repudiation," Econometrica, Econometric Society, vol. 59(4), pages 1069-89, July. [Downloadable!] (restricted)
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  22. Chang, Roberto, 1998. "Credible Monetary Policy in an Infinite Horizon Model: Recursive Approaches," Journal of Economic Theory, Elsevier, vol. 81(2), pages 431-461, August. [Downloadable!] (restricted)
  23. 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. [Downloadable!] (restricted)
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  24. Cole, Harold L & Kocherlakota, Narayana R, 2001. "Efficient Allocations with Hidden Income and Hidden Storage," Review of Economic Studies, Blackwell Publishing, vol. 68(3), pages 523-42, July.
    Other versions:
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