Multidimensional inequalities and generalized quantile functions

Sinem Bas, Philippe Bich () and Alain Chateauneuf
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Sinem Bas: UCL - Université Catholique de Louvain = Catholic University of Louvain
Philippe Bich: 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 nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: In this paper, we extend the generalized Yaari dual theory for multidimen-sional distributions, in the vein of Galichon and Henry's paper [6]. We show how a class of generalized quantiles-which encompasses Galichon and Henry's one or multivariate quantile transform [7] [4] [9]-allows to derive a general representation theorem. Moreover, we derive from this representation theorem a formula which could be applicable to multidimensional measure of inequality.

Keywords: multidimensional distributions; quantile; inequality; optimal coupling (search for similar items in EconPapers)
Date: 2016-05-09
Note: View the original document on HAL open archive server: https://hal.science/hal-01313118v1
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Related works:
Journal Article: Multidimensional inequalities and generalized quantile functions (2021)
Working Paper: Multidimensional inequalities and generalized quantile functions (2021)
Working Paper: Multidimensional inequalities and generalized quantile functions (2021)
Working Paper: Multidimensional inequalities and generalized quantile functions (2021)
Working Paper: Multidimensional inequalities and generalized quantile functions (2016)
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