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

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

Abstract

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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  • Ábrahám, Árpád & Koehne, Sebastian & Pavoni, Nicola, 2011. "On the first-order approach in principal-agent models with hidden borrowing and lending," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1331-1361, July.
  • Handle: RePEc:eee:jetheo:v:146:y:2011:i:4:p:1331-1361
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    Cited by:

    1. Raith, Michael, 2012. "Optimal incentives and the time dimension of performance measurement," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2158-2189.
    2. Alex Edmans & Xavier Gabaix & Tomasz Sadzik & Yuliy Sannikov, 2009. "Dynamic Incentive Accounts," NBER Working Papers 15324, National Bureau of Economic Research, Inc.
    3. Bertola, Giuseppe & Koeniger, Winfried, 2010. "Public and Private Insurance with Costly Transactions," IZA Discussion Papers 5201, Institute for the Study of Labor (IZA).
    4. Mele, Antonio, 2014. "Repeated moral hazard and recursive Lagrangeans," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 69-85.
    5. Krebs, Tom & Scheffel, Martin, 2016. "Labor Market Institutions and the Cost of Recessions," IZA Discussion Papers 10442, Institute for the Study of Labor (IZA).
    6. Ábrahám, Árpád & Koehne, Sebastian & Pavoni, Nicola, 2016. "Optimal income taxation when asset taxation is limited," Journal of Public Economics, Elsevier, vol. 136(C), pages 14-29.
    7. Ales, Laurence & Maziero, Pricila, 2016. "Non-exclusive dynamic contracts, competition, and the limits of insurance," Journal of Economic Theory, Elsevier, vol. 166(C), pages 362-395.
    8. Fagart, Marie-Cécile & Fluet, Claude, 2013. "The first-order approach when the cost of effort is money," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 7-16.
    9. Árpád Ábrahám & Sarolta Laczó, 2013. "Efficient Risk Sharing with Limited Commitment and Storage," Working Papers 697, Barcelona Graduate School of Economics.
    10. Sarolta Laczo & Arpad Abraham, 2012. "Efficient Risk Sharing with Limited Commitment and Hidden Saving," 2012 Meeting Papers 680, Society for Economic Dynamics.
    11. Giuseppe Bertola & Winfried Koeniger, 2015. "Hidden insurance in a moral-hazard economy," RAND Journal of Economics, RAND Corporation, vol. 46(4), pages 777-790, October.
    12. Sebastian Koehne, 2015. "On the Taxation of Durable Goods," CESifo Working Paper Series 5194, CESifo Group Munich.
    13. Wataru Nozawa, 2016. "Failure of the first-order approach in an insurance problem with no commitment and hidden savings," Economics Bulletin, AccessEcon, vol. 36(4), pages 2422-2429.
    14. Sebastian Koehne & Nicola Pavoni & Arpad Abraham, 2011. "Optimal Income Taxation with Asset Accumulation," 2011 Meeting Papers 1161, Society for Economic Dynamics.
    15. Ligon, Ethan & Schechter, Laura, 2017. "Structural experimentation to distinguish between models of risk sharing with frictions in rural Paraguay," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt9891t8g3, Department of Agricultural & Resource Economics, UC Berkeley.
    16. Rene Kirkegaard, 2015. "Contracting with Private Rewards," Working Papers 1504, University of Guelph, Department of Economics and Finance.
    17. 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.
    18. Bertola, Giuseppe & Koeniger, Winfried, 2014. "On the validity of the first-order approach with moral hazard and hidden assets," Economics Letters, Elsevier, vol. 124(3), pages 402-405.

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