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Increasing N th degree inequality

Author

Listed:
  • Jean-Pascal Gayant

    (GAINS - Groupe d'Analyse des Itinéraires et des Niveaux Salariaux - UM - Le Mans Université)

  • Nicolas Le Pape

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper we define and introduce the notion of View the MathML sourceNth degree inequality which is the particular case of View the MathML sourceNth order stochastic dominance which preserves the (N−1)(N−1) first moments. We exhibit that transfer à la Fishburn and Willig (1984) indeed generate decreases in View the MathML sourceNth degree inequality. We then show that whereas Kolm and Atkinson indices are consistent with aversion to any degree of inequality, only a limited class of indices of the generalized entropy family is.

Suggested Citation

  • Jean-Pascal Gayant & Nicolas Le Pape, 2017. "Increasing N th degree inequality," Post-Print halshs-01525395, HAL.
  • Handle: RePEc:hal:journl:halshs-01525395
    DOI: 10.1016/j.jmateco.2017.02.010
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    References listed on IDEAS

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    Cited by:

    1. I. Josa & A. Aguado, 2020. "Measuring Unidimensional Inequality: Practical Framework for the Choice of an Appropriate Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(2), pages 541-570, June.
    2. Dubois, Marc, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 1-10.
    3. Stelios Arvanitis, 2021. "Stochastic dominance efficient sets and stochastic spanning," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 401-409, June.
    4. Christophe Muller, 2019. "Social Shock Sharing and Stochastic Dominance," Working Papers halshs-02005735, HAL.
    5. Marc Dubois, 2019. "Unnested Aversion to s-th Degree Inequality," Economics Bulletin, AccessEcon, vol. 39(4), pages 2374-2380.
    6. Dubois, Marc & Mussard, Stéphane, 2019. "Utility and income transfer principles: Interplay and incompatibility," Mathematical Social Sciences, Elsevier, vol. 100(C), pages 46-56.

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