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

  • Patrice Loisel

    ()

    (INRA, UMR 729 MISTEA, Montpellier, France)

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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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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  1. 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.
  2. Bagnoli, M. & Bergstrom, T., 1989. "Log-Concave Probability And Its Applications," Papers 89-23, Michigan - Center for Research on Economic & Social Theory.
  3. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-90, September.
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  6. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-67, November.
  7. Sinclair-Desgagne, Bernard, 1994. "The First-Order Approach to Multi-signal Principal-Agent Problems," Econometrica, Econometric Society, vol. 62(2), pages 459-66, March.
  8. 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.
  9. Corrado Benassi, 2011. "A Note on Convex Transformations and the First Order Approach," Working Paper Series 06_11, The Rimini Centre for Economic Analysis.
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