Multidimensional inequality and inframodular order

Zaier Aouani and Alain Chateauneuf
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Zaier Aouani: Department of economics, University of Kansas - KU - University of Kansas [Lawrence]

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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.

Keywords: Multi-attribute inequality; Multidimensional Pigou–Dalton transfers; Inframodular functions; Inframodular order (search for similar items in EconPapers)
Date: 2020-10
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Published in Journal of Mathematical Economics, 2020, 90, pp.74-79. ⟨10.1016/j.jmateco.2020.06.001⟩

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Related works:
Journal Article: Multidimensional inequality and inframodular order (2020)
Working Paper: Multidimensional inequality and inframodular order (2020)
Working Paper: Multidimensional inequality and inframodular order (2020)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:hal-03260218

DOI: 10.1016/j.jmateco.2020.06.001

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