The purpose of this paper is to extend Dagum’s Gini decomposition (“A New Approach to the Decomposition of the Gini Income Inequality Ratio”, Empirical Economics 22(4), 515-531, 1997a) following three types of theoretical modelisation. The first one deals with a “poor/non-poor”...

The aim of this paper is to provide an application of the Shapley Value to decompose financial portfolio risk. Decomposing the sample covariance risk measure yields relative measures, which enable securities of a portfolio to be classified according to risk scales.

Income inequality measures involve two sub-classes of decomposable measures: those decomposed by sub-groups and those decomposed by income source. The former enables one to compute between- and within-group indices. The latter allows for gauging the inequality related to each factor of income...

The purpose of this paper is to show that the Gini index of equality is: (i) subgroup decomposable throughout interpersonal comparisons; (ii) decomposable by income source; (iii) decomposable both by subgroup and income source; (iv) and decomposable in a multidimensional context permitting...

In 1990, Cerioli and Zani introduced an operational multivariate method to analyse and measure poverty, aiming at incorporating several dimensions of poverty. As Dagum and Costa [2004] showed, this study applies the fuzzy set theoretic approach and thus making quantitatively operational the...

This paper tackles the issues of social polarization and income polarization in several North American, European and Australian countries in the perspective of redistribution patterns. Presenting a simple theoretical framework, we argue that comparing both types of polarization can help predict...

Given the multiplicative decomposition of the Sen index into three commonly used poverty statistics – the poverty rate (poverty incidence), poverty gap ratio (poverty depth) and 1 plus the Gini index of poverty gap ratios of the poor (inequality of poverty) – the index becomes much easier to...

Gini and entropy are the most use measures to gauge income inequalities. We show that each measure yields different subgroup decomposition techniques into within-group inequalities and between-group inequalities. Then, we show that the Gini index has been decomposed into many ways to bring out a...

This article extends the paper of Dagum C. and Costa M. (“Analysis and Measurement of Poverty. Univariate and Multivariate Approaches and their Policy Implications. A case of Study: Italy”, In Dagum C. and Ferrari G. (eds.), Household Behaviour, Equivalence Scales, Welfare and Poverty,...

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