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Multidimensional inequality and inframodular order

Author

Listed:
  • Zaier Aouani

    (Department of economics, University of Kansas - KU - University of Kansas [Lawrence])

  • Alain Chateauneuf

    (IPAG Business School, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

Motivated by the pertinence of Pigou–Dalton (PD) transfers for inequality measurement when only one attribute is involved, we show that inframodular functions are consistent with multidimensional PD transfers and that weakly inframodular functions fit more accurately with the traditional notion of PD transfers. We emphasize, for inequality rankings of allocations of multiple attributes in a population, the similarities of the inframodular order, defined using inframodular functions, with the concave order in the unidimensional framework.

Suggested Citation

  • Zaier Aouani & Alain Chateauneuf, 2020. "Multidimensional inequality and inframodular order," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03260218, HAL.
    • Handle: RePEc:hal:cesptp:hal-03260218
    DOI: 10.1016/j.jmateco.2020.06.001
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    References listed on IDEAS

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    1. Magdalou, Brice, 2021. "A model of social welfare improving transfers," Journal of Economic Theory, Elsevier, vol. 196(C).
    2. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
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