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Increasing Nth degree inequality

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  • Gayant, Jean-Pascal
  • Le Pape, Nicolas

Abstract

In this paper we define and introduce the notion of Nth degree inequality which is the particular case of Nth order stochastic dominance which preserves the (N−1) first moments. We exhibit that transfer à la Fishburn and Willig (1984) indeed generate decreases in Nth 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.

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  • Gayant, Jean-Pascal & Le Pape, Nicolas, 2017. "Increasing Nth degree inequality," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 185-189.
    • Handle: RePEc:eee:mateco:v:70:y:2017:i:c:p:185-189
    DOI: 10.1016/j.jmateco.2017.02.010
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    2. Christophe Muller, 2019. "Social Shock Sharing and Stochastic Dominance," AMSE Working Papers 1903, Aix-Marseille School of Economics, France.
    3. Dubois, Marc & Mussard, Stéphane, 2019. "Utility and income transfer principles: Interplay and incompatibility," Mathematical Social Sciences, Elsevier, vol. 100(C), pages 46-56.
    4. Dubois, Marc, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 1-10.
    5. 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.
    6. Marc Dubois, 2019. "Unnested Aversion to s-th Degree Inequality," Economics Bulletin, AccessEcon, vol. 39(4), pages 2374-2380.

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