A Note on α‐Gini Measures

Stéphane Mussard and Pauline Mornet

Review of Income and Wealth, 2019, vol. 65, issue 3, 675-682

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.

Date: 2019
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https://doi.org/10.1111/roiw.12373

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Working Paper: A Note on α -Gini Measures (2018)
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