A0150
Title: Multiple-attribute Lorenz functions and Gini indices: A measure-transportation approach
Authors: Marc Hallin - Universite Libre de Bruxelles (Belgium) [presenting]
Gilles Mordant - Universitat Gottingen (Germany)
Abstract: Based on the measure-transportation ideas and the related concepts of quantile functions and regions developed by a prior study, multiple-output generalizations of the traditional univariate concepts of Lorenz and concentration functions and related Gini and Kakwani coefficients are proposed. These new concepts have a natural interpretation, either in terms of contributions of quantile regions to the expectation of some variable of interest, or in terms of the physical notions of work and energy, which sheds new light on the nature of economic and social inequalities. When based on center-outward quantile regions, the proposed concepts pave the way to a statistically sound definition, based on multiple variables, of the notion, so far limited to bivariate characterizations, of middle-class, a notion of practical importance in various socio-economic and political contexts.
