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Path independent multiplicatively decomposable inequality measures

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  • Mª Casilda Lasso de la Vega

    (Universidad del País Vasco)

  • Ana Marta Urrutia

    (Universidad del País Vasco)

Abstract

Foster and Shneyerov (2000) explore an additive decomposition property for inequality measures that they call path independent decomposition. They characterise the class of measures that have this property. Taking their results as a reference, we seek here to generalise the notion of decomposability, and to characterise inequality measures that admit path independent multiplicative decomposition. It is shown that all the measures in this family can be generated on the basis of Atkinson’s index for value 1 of the inequality aversion parameter. (Copyright: Fundación SEPI)

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Bibliographic Info

Article provided by Fundación SEPI in its journal Investigaciones Económicas.

Volume (Year): 29 (2005)
Issue (Month): 2 (May)
Pages: 379-387

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Handle: RePEc:iec:inveco:v:29:y:2005:i:2:p:379-387

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Related research

Keywords: Atkinson inequality measure; path independent decomposition.;

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References

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  1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
  2. Foster, James E. & Shneyerov, Artyom A., 2000. "Path Independent Inequality Measures," Journal of Economic Theory, Elsevier, vol. 91(2), pages 199-222, April.
  3. Eytan Sheshinski, 1977. "Taxation, Inflation, and Monetary Policy," NBER Working Papers 0203, National Bureau of Economic Research, Inc.
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Citations

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Cited by:
  1. Giuseppe Pignataro, 2010. "Measuring equality of opportunity by Shapley value," Economics Bulletin, AccessEcon, vol. 30(1), pages 786-798.
  2. Goerlich, Francisco José & Lasso de la Vega, Mª Casilda & Urrutia, Ana Marta, 2009. "The Extended Atkinson Family and Changes in the Expenditure Distribution: Spain 1973/74-2003," MPRA Paper 16256, University Library of Munich, Germany, revised 2009.
  3. Casilda Lasso de la Vega & Ana Urrutia, 2008. "The ‘Extended’ Atkinson family: The class of multiplicatively decomposable inequality measures, and some new graphical procedures for analysts," Journal of Economic Inequality, Springer, vol. 6(2), pages 211-225, June.
  4. Frank Cowell & Carlo Fiorio, 2011. "Inequality decompositions—a reconciliation," Journal of Economic Inequality, Springer, vol. 9(4), pages 509-528, December.
  5. Frank Cowell & Carlo V. Fiorio, 2010. "GINI DP 4: Inequality Decompositions," GINI Discussion Papers 4, AIAS, Amsterdam Institute for Advanced Labour Studies.
  6. Li Donni, P; & Peragine, V; & Pignataro G;, 2011. "Measuring equity in health: a normative decomposition," Health, Econometrics and Data Group (HEDG) Working Papers 11/06, HEDG, c/o Department of Economics, University of York.

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