B0156
Title: Measure-transportation-based Lorenz curves and concentration indices
Authors: Gilles Mordant - Universitat Gottingen (Germany) [presenting]
Marc Hallin - Universite Libre de Bruxelles (Belgium)
Abstract: Based on measure transportation ideas and the related concepts of centre-outward quantile functions, multiple-output centre-outward generalizations are proposed of the traditional univariate concepts of Lorenz and concentration functions, and the related Gini and Kakwani coefficients. These new concepts have a natural interpretation, either in terms of contributions of central (` middle-class') 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. Importantly, the proposed concepts pave the way to statistically sound definitions, based on multiple variables, of quantiles and quantile regions, and the concept of "middle class," of high relevance in various socio-economic contexts.
