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The ‘Extended’ Atkinson family: The class of multiplicatively decomposable inequality measures, and some new graphical procedures for analysts

An Erratum to this article was published on 29 March 2008

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.

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Correspondence to Casilda Lasso de la Vega.

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An erratum to this article can be found at http://dx.doi.org/10.1007/s10888-008-9084-1

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Lasso de la Vega, C., Urrutia, A. The ‘Extended’ Atkinson family: The class of multiplicatively decomposable inequality measures, and some new graphical procedures for analysts. J Econ Inequal 6, 211–225 (2008). https://doi.org/10.1007/s10888-006-9053-5

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Key words

  • Atkinson indices
  • inequality measurement
  • multiplicative decomposition