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Characterization of Stochastic Dominance for Discrete Random Variable

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  • Jean-Michel Courtault

    (CEPN - Centre d'Economie de l'Université Paris Nord (ancienne affiliation) - UP13 - Université Paris 13 - CNRS - Centre National de la Recherche Scientifique)

  • Bertrand Crettez

    (LIBRE - Laboratoire interdisciplinaire bisontin de recherches économiques - M.E.N.E.S.R. - Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE])

  • Naïla Hayek

    (Marin Mersenne - Pour les Mathématiques, l'Informatique et l'Interdisciplinarité - UP1 - Université Paris 1 Panthéon-Sorbonne)

Abstract

Available characterizations of the various notions of stochastic dominance concern continuous random variables. Yet, discrete random variables are often used either in pedagogical presentations of stochastic dominance or in experimental tests of this notion. This note provides complete characterizations of the various notions of stochastic dominance for discrete random variables.

Suggested Citation

  • Jean-Michel Courtault & Bertrand Crettez & Naïla Hayek, 2006. "Characterization of Stochastic Dominance for Discrete Random Variable," Post-Print halshs-00446413, HAL.
    • Handle: RePEc:hal:journl:halshs-00446413
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00446413
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    References listed on IDEAS

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    1. Leshno, Moshe & Levy, Haim & Spector, Yishay, 1997. "A Comment on Rothschild and Stiglitz's "Increasing Risk: I. A Definition"," Journal of Economic Theory, Elsevier, vol. 77(1), pages 223-228, November.
    2. Chambers,Robert G. & Quiggin,John, 2000. "Uncertainty, Production, Choice, and Agency," Cambridge Books, Cambridge University Press, number 9780521785235, September.
    3. Battalio, Raymond C & Kagel, John H & MacDonald, Don N, 1985. "Animals' Choices over Uncertain Outcomes: Some Initial Experimental Results," American Economic Review, American Economic Association, vol. 75(4), pages 597-613, September.
    4. Michael Birnbaum, 2005. "A Comparison of Five Models that Predict Violations of First-Order Stochastic Dominance in Risky Decision Making," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 263-287, December.
    5. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    6. Birnbaum, Michael H & Navarrete, Juan B, 1998. "Testing Descriptive Utility Theories: Violations of Stochastic Dominance and Cumulative Independence," Journal of Risk and Uncertainty, Springer, vol. 17(1), pages 49-78, October.
    7. Chavas, Jean-Paul, 2004. "Risk Analysis in Theory and Practice," Elsevier Monographs, Elsevier, edition 1, number 9780121706210.
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    Cited by:

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    2. Maublanc, François & Rouillon, Sébastien, 2023. "Contests with an uncertain number of prizes with a fixed total value," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 20-25.
    3. Courtault, Jean-Michel & Hayek, Naïla & Rimbaux, Eric & Zhu, Tong, 2010. "Research in economics and management in France: A bibliometric study using the h-index," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 39(2), pages 329-337, April.
    4. François Maublanc & Sébastien Rouillon, 2019. "Contests with an uncertain number of prizes," Cahiers du GREThA (2007-2019) 2019-07, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    5. Jean-Michel Courtault & Eric Rimbaux & Tong Zhu, 2010. "De la réputation scientifique et de sa mesure : une étude comparée des citations des économistes et des gestionnaires des Universités et des Écoles," CEPN Working Papers hal-00490058, HAL.

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