We show in this paper that the growth rate of the Sen index is multi-decomposable, that is, decomposable simultaneously by groups and income sources. The multi-decomposition of the poverty growth yields respectively: the growth rate of the poverty incidence (poverty rate) decomposed by groups,...

Four axioms are introduced in order to characterize the family of pair-based decomposable inequality measures, which is embraced in the class of weakly decomposable inequality measures. Three axioms, namely, normalization by pairs, aggregation by pairs, and decomposition by pairs enable the...

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...

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 a dual class of bi-polarization indices, namely rank-dependent bi-polarization 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...

This paper analyzes the definition of economic efficiency. The standard definition used in economic literature is the Pareto Optimum which is based in the space of individual utilities. This paper proposes new definitions based on alternative spaces. The paper also introduces a dominance...

La littérature montre que la mesure des inégalités de revenu n’est pas suffisante pour appréhender les déterminants des inégalités. Les sources de rémunération, leurs corrélations au revenu global, leurs parts dans le revenu global, rentrent en compte dans la décomposition de la...

An axiomatic approach is used to propose a measure of extreme poverty which is not only multidimensional in nature, but also recognizes the fact that there are interaction effects between different deprivations, and that the length of time during which deprivations are felt may also have a...

The concept of horizontal inequality is generally used in economics to refer to the unequal treatment of equal individuals by the fiscal system. For example, an economic system can treat unequally two individuals who hold identical levels of production factors. The following note will present a...

We propose simple graphical methods to identify poverty-reducing marginal reforms of transfer programs. The methods are based on Program Dominance curves that display cumulative program benefits weighted by powers of poverty gaps. These curves can be decomposed simply as sums of targeting...