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Multidimensional inequalities and generalized quantile functions

Sinem Bas, Philippe Bich () and Alain Chateauneuf ()
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Sinem Bas: UCL - Université Catholique de Louvain
Philippe Bich: CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics

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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
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Handle: RePEc:hal:cesptp:hal-01313118