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A Note on α -Gini Measures

Stéphane Mussard () and Pauline Mornet
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Stéphane Mussard: CHROME - Détection, évaluation, gestion des risques CHROniques et éMErgents (CHROME) / Université de Nîmes - UNIMES - Université de Nîmes
Pauline Mornet: LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UM3 - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier

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Abstract: This note provides a characterization of α-Gini inequality measures. These measures generalize the standard Gini index by including one sensitivity parameter α, which captures different value judgments. The α-Gini measures are shown to be weakly decomposable and unit-consistent. Weak decomposition provides within-group and between-group inequalities. Unit consistency keeps unchanged the ranking of two income distributions when the income units vary. It is shown that the α-Gini measures are relevant with either "leftist" or"rightist" views. JEL Codes: D63, D31, C43

Keywords: α-Gini measures; Unit-consistency; Weak decomposition (search for similar items in EconPapers)
Date: 2018-08-02
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Published in Review of Income and Wealth, Wiley, 2018, ⟨10.1111/roiw.12373⟩

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DOI: 10.1111/roiw.12373

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