In the context of the binomial decomposition of OWA functions, we investigate the parametric constraints associated with the 3-additive case in n dimensions. The resulting feasible region in two coefficients is a convex polygon with n vertices and n edges, and is strictly increasing in the...

This paper identifies a family of absolute consistent inequality indices using a weakly decomposable postulate suggested by Ebert (2010). Since one member employs an Atkinson (1970) type aggregation we refer to it as the Atkinson index of consistent inequality. A second member of this family...

Recent evidence on the impact of the crisis on developed countries shows that the changes in income inequality and poverty have been relatively small in spite of the macroeconomic heterogeneity of the recession across different economies. However, when evaluating the main changes in individual...

In this paper, following the literature on well-being, we propose an aggregate measure of employment deprivation among households that is increasing in the incidence of household unemployment (how many households are touched by the lack of employment of any of its members), its intensity (how...

In the context of Social Welfare and Choquet integration, we briefly review, on the one hand, the generalized Gini welfare functions and inequality indices for populations of n=2 individuals, and on the other hand, the Mobius representation framework for Choquet integration, particularly in the...

An ethnic polarization index is a summary statistic of ethnic diversity in a population. Montalvo and Reynal-Querol (2005,2008) suggested an index of ethnic polarization, the RQ index, and discussed its properties in detail. In this paper we develop some axiomatic characterizations of the RQ...

We examine the measurement of multidimensional poverty and material deprivation following the counting approach. In contrast to earlier contributions, dimensions of well-being are not forced to be equally important but different weights can be assigned to different dimensions. We characterize a...

An abbreviated or reduced-form monotonic polarization index is an increasing function of the between-group term and a decreasing function of the within-group term of a population subgroup decomposable inequality index. The between-group term represents the „identification? component of...

We examine the measurement of individual poverty in an intertemporal context. In contrast to earlier contributions, we assign importance to the persistence in a state of poverty and we characterize a class of individual intertemporal poverty measures reflecting this feature. In addition, we...