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Elitism and Stochastic Dominance

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  • Stephen Bazen

    ()
    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - École des Hautes Études en Sciences Sociales (EHESS) - CNRS : UMR6579)

  • Patrick Moyes

    ()
    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - CNRS : UMR5113 - Université Montesquieu - Bordeaux IV, CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

Abstract

Stochastic dominance has typically been used with a special emphasis on risk and inequality reduction something captured by the concavity of the utility function in the expected utility model. We claim that the applicability of the stochastic dominance approach goes far beyond risk and inequality measurement provided suitable adpations be made. We apply in the paper the stochastic dominance approach to the measurment of elitism which may be considered the opposite of egalitarianism. While the usual stochastic dominance quasi-orderings attach more value to more equal and more efficient distributions, our criteria ensure that the more unequal and the more the efficient the distribution, the higher it is ranked. two instances are provided by (i) comparisons of scientific performance across institutions like universities or departments and (ii) comparisons of affluence as opposed to poverty across countries.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00576585.

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Date of creation: 14 Mar 2011
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Handle: RePEc:hal:cesptp:halshs-00576585

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Keywords: Decumulative distribution functions; Stochastic dominance; Regressive transfers; Elitism; Scientific Performance; Affluence;

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  1. Stephen Bazen & Patrick Moyes, 2011. "Elitism and Stochastic Dominance," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00576585, HAL.
  2. Alain Chateauneuf & Patrick Moyes, 2005. "Lorenz non-consistent welfare and inequality measurement," Journal of Economic Inequality, Springer, Springer, vol. 2(2), pages 61-87, January.
  3. Patrick MOYES (GREThA, CNRS, UMR 5113) & Nicolas GRAVEL (Aix-Marseille University and AMSE (GREQAM)), 2011. "Ethically Robust Comparisons of Bidimensional Distributions with an Ordinal Attribute," Cahiers du GREThA, Groupe de Recherche en Economie Théorique et Appliquée 2011-36, Groupe de Recherche en Economie Théorique et Appliquée.
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  16. Brice Magdalou & Patrick Moyes, 2009. "Deprivation, welfare and inequality," Social Choice and Welfare, Springer, Springer, vol. 32(2), pages 253-273, February.
  17. Fishburn, Peter C., 1974. "Convex stochastic dominance with continuous distribution functions," Journal of Economic Theory, Elsevier, Elsevier, vol. 7(2), pages 143-158, February.
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Citations

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Cited by:
  1. Nicolas CARAYOL & Agenor LAHATTE, 2014. "Dominance relations and ranking when quantity and quality both matter: Applications to US universities and econ. departments worldwide," Cahiers du GREThA, Groupe de Recherche en Economie Théorique et Appliquée 2014-14, Groupe de Recherche en Economie Théorique et Appliquée.
  2. Stephen Bazen & Patrick Moyes, 2011. "Elitism and Stochastic Dominance," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00576585, HAL.
  3. repec:hal:wpaper:halshs-00576585 is not listed on IDEAS
  4. Andreas Peichl & Nico Pestel, 2010. "Multidimensional Measurement of Richness: Theory and an Application to Germany," SOEPpapers on Multidisciplinary Panel Data Research 295, DIW Berlin, The German Socio-Economic Panel (SOEP).
  5. Nicolas CARAYOL (GREThA) & Agenor LAHATTE (OST), 2011. "Dominance relations when both quantity and quality matter, and applications to the\r\ncomparison of US research universities and worldwide top departments in economics," Cahiers du GREThA, Groupe de Recherche en Economie Théorique et Appliquée 2011-22, Groupe de Recherche en Economie Théorique et Appliquée.

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