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Classical inequality indices, welfare functions, and the dual decomposition

Oihana Aristondo (), JosŽ Luis Garc’a-Lapresta, Casilda Lasso de la Vega () and Ricardo Alberto Marques Pereira

No 2012/06, DISA Working Papers from Department of Computer and Management Sciences, University of Trento, Italy

Abstract: We consider the classical inequality measures due to Gini, Bonferroni, and De Vergottini and we present a brief review of the three inequality indices and the associated welfare functions, in the correspondence scheme introduced by Blackorby and Donaldson, and Weymark. The three classical inequality indices incorporate different value judgments in the measurement of inequality, leading to different behavior under income transfers between individuals in the population. The welfare functions associated with the Gini, Bonferroni, and (normalized) De Vergottini indices are Schur-concave OWA functions, with larger weights for lower incomes. we examine the dual decomposition and the orness degree of the three welfare functions in the standard framework of aggregation functions on the [0 , l ]^n domain, and show that it offers interesting insight on the distinct and complementary nat ure of the classical inequality indices.

Keywords: incarne inequality and sacial welfare; classical Gini; Banferrani; and De Vergattini inequality indices; welfare functions; aggregation functions; WA and OWA functions; dual decomposition; arness (search for similar items in EconPapers)
Date: 2012-06, Revised 2012-06
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