# The binomial Gini inequality indices and the binomial decomposition of welfare functions

###### Working Paper 2013-305

Abstract

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 case of k-additive symmetric capacities.

Authors: Silvia Bortot, Ricardo Alberto Marques Pereira.

Keywords: Social welfare, Generalized Gini welfare functions and inequality indices, symmetric capacities and Choquet integrals, OWA functions, Binomial decomposition and k-additivity.
JEL: D31, D63, I31.