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Can CDFC and MLRP Conditions Be Both Satisfied for a Given Distribution?

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  • Patrice Loisel

    ()
    (INRA, UMR 729 MISTEA, Montpellier, France)

Abstract

In principal-agent problem, the first-order approach is frequently used. To insure the validity of the approach the Monotone Likelihood Ratio Property and the Convexity of the Distribution Function Condition are requested. While the former property is satisfied by most of the distributions, this is not the case for the second property. We present two families of distributions for which the properties are satisfied. The first family includes as special cases the distributions that were previously introduced by various authors. The second family includes new distributions.

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Bibliographic Info

Article provided by Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies in its journal Czech Economic Review.

Volume (Year): 7 (2013)
Issue (Month): 3 (November)
Pages: 135-145

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Handle: RePEc:fau:aucocz:au2013_135

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Related research

Keywords: Monotone Likelihood Ratio Property; Convex Distribution Function Condition; incentive contract; first-order approach; moral hazard;

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  1. Sanford Grossman & Oliver Hart, . "An Analysis of the Principal-Agent Problem," Rodney L. White Center for Financial Research Working Papers 15-80, Wharton School Rodney L. White Center for Financial Research.
  2. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-90, September.
  3. Mirrlees, J A, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 3-21, January.
  4. Carlier, G. & Dana, R.-A., 2005. "Existence and monotonicity of solutions to moral hazard problems," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 826-843, November.
  5. Mark Bagnoli & Ted Bergstrom, 2005. "Log-concave probability and its applications," Economic Theory, Springer, vol. 26(2), pages 445-469, 08.
  6. Sinclair-Desgagne, Bernard, 1994. "The First-Order Approach to Multi-signal Principal-Agent Problems," Econometrica, Econometric Society, vol. 62(2), pages 459-66, March.
  7. Marco LiCalzi & Sandrine Spaeter, 2003. "Distributions for the first-order approach to principal-agent problems," Economic Theory, Springer, vol. 21(1), pages 167-173, 01.
  8. Corrado Benassi, 2011. "A Note on Convex Transformations and the First Order Approach," Working Paper Series 06_11, The Rimini Centre for Economic Analysis.
  9. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-67, November.
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