The ‘Extended’ Atkinson family: The class of multiplicatively decomposable inequality measures,and some new graphical procedures for analysts |
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Authors: | Casilda Lasso de la Vega Ana Urrutia |
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Institution: | (1) Facultad de Ciencias Económicas y Empresariales, Dep. Economía Aplicada IV, Avd. Lehendakari Aguirre, 83, 48015 Bilbao, Spain |
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Abstract: | This paper introduces and characterises a class of inequality measures which extends the Atkinson family. This class contains
canonical forms of all aggregative inequality measures, each bounded above by one, provides a new dominance criterion for
ordering distributions in terms of inequality and offers some new graphical procedures for analysts. The crucial axiom for
the characterisation is an alternative to the standard additive decomposition property that we call ‘multiplicative decomposability,’
where the within-group component is a generalised weighted mean with weights summing exactly to one.
An erratum to this article can be found at |
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Keywords: | Atkinson indices inequality measurement multiplicative decomposition |
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