Le but de cet article est de démontrer que l’indice de Malmquist agrégé satisfait la propriété de multi-décomposabilité. Cette dernière permet de combiner la décomposition par firme et la décomposition par attribut qui est caractérisée par le progrès technique et la variation...

Les mesures d’inégalité du revenu rassemblent deux types d’indicateurs décomposables : les indices décomposables en sous-populations et les indices décomposables en sources de revenu. Les premiers permettent de départager l’inégalité totale en une inégalité intragroupe et une...

In most welfare analyses, especially in the literature on normative inequality measurement, it is a commonplace to assume a direct relationship between the distribution of income and social welfare. As a result, this relationship is formally summarized by a single function, called a reduced-form...

This article proposes a unified technique of the Gini decomposition. The Gini multi-decomposition is a combination of the income source decomposition and the subgroup decomposition. This technique is applied on reference situation and simulated scenarios for partial trade liberalisation in...

In this article we show that the Gini coefficient is simultaneously decomposable both by sources of income and by populations of income receivers for nonoverlapping income distributions: the so-called first-best Gini multi-decomposition. We show that this multidimensional decomposition is useful...

Following Milanovic's (1997) paper [Economics Letters, vol. 56, p. 45-49], we propose a simple way to compute the Gini index when income y is a quadratic function of its rank among n individuals.

In this paper, we investigate the analytical links between the rate of unemployment, monetary creation and how individuals share the value added in an economy with three types of agents: capital owners, managers and employees. This relationship relies on the fact that the rate of unemployment...

In this paper, we investigate a dual class of bi-polarization indices, namely rank-dependent bipolarization indices. We show that these indices may be characterized with the generalized positional transfer sensitivity property. We find necessary and sufficient conditions in order to identify...

The paper explores different applications of the Shapley value for either inequality or poverty measures. We first investigate the problem of source decomposition of inequality measures, the so-called additive income sources inequality games, baed on the Shapley Value, introduced by Chantreuil...