# Generalized gini inequality indices

@article{Weymark1981GeneralizedGI, title={Generalized gini inequality indices}, author={J. Weymark}, journal={Math. Soc. Sci.}, year={1981}, volume={1}, pages={409-430} }

Abstract When incomes are ranked in descending order the social-evaluation function corresponding to the Gini relative inequality index can be written as a linear function withthe weights being the odd numbers in increasing order. We generalize this function by allowing the weights to be an arbitrary non-decreasing sequence of numbers. This results in a class of generalized Gini relative inequality indices and a class of generalized Gini absolute inequality indices. An axiomatic… Expand

#### 377 Citations

EXTENDED GINI INDICES OF INEQUALITY

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- 1988

This paper suggests generalizations of the Gini indices of "relative" and " "absolute" inequality. The new families of indices are based respect ively on the Lorenz curve and the generalized Lorenz… Expand

Multidimensional generalized Gini indices

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Summary.The axioms that characterize the generalized Gini social evaluation orderings for one-dimensional distributions are extended to the multidimensional attributes case. A social evaluation… Expand

Research Articles Multidimensional generalized Gini indices

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Summary. The axioms that characterize the generalized Gini social evaluation orderings for one-dimensional distributions are extended to the multidimensional attributes case. A social evaluation… Expand

Representative endowments and uniform Gini orderings of multi-attribute inequality

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For the comparison of inequality in multiple attributes the use of generalized Gini indices is proposed. Spectral social evaluation functions are used in the multivariate setting, and Gini dominance… Expand

Intersecting generalized Lorenz curves and the Gini index

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Abstract. As is well known, the use of the Gini coefficient in comparisons is inconsistent with an utilitarian approach. This paper analyzes the Gini coefficient's normative significance in welfare… Expand

WORKING PAPER SERIES

- 2003

The axioms used to characterize the generalized Gini social evaluation orderings for one-dimensional distributions are extended to the multidimensional attributes case. A social evaluation ordering… Expand

Generalized Gini Indices of Equality of Opportunity

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This article considers the ranking of profiles of opportunity sets on the basis of their equality. A version of the Pigou–Dalton transfer principle that is appropriate for the measurement of… Expand

An elementary characterization of the Gini index

- Economics, Computer Science
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The Gini index is characterized as the unique function that satisfies the properties of scale invariance, symmetry, proportionality and convexity in similar rankings. Expand

New perspectives on the Gini and Bonferroni indices of inequality

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This paper rigorously demonstrates that for any unequal income distribution, the well-known Gini index of inequality is bounded above by the recently revived Bonferroni inequality index. The bound is… Expand

A new class of deprivation-based generalized Gini indices

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Summary. This paper attempts to merge two strands of the literature on relative deprivation and generalized Gini indices by designing a new class of generalized Gini indices based on the concept of… Expand

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