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New Unit-Consistent Intermediate Inequality Indices

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Author Info

  • Coral del Río

    (Universidade de Vigo)

  • Olga Alonso-Villar

    ()
    (Universidade de Vigo)

Abstract

This paper introduces a class of intermediate inequality indices, I(?, ?), that is at the same time ray-invariant and unit-consistent. These measures permit us to keep some of the good properties of Krtscha’s (1994) index while keeping the same “centrist” attitude whatever the income increase is. In doing so, we approach the intermediate inequality concept suggested by Del Río and Ruiz-Castillo (2000) and generalize it in order to extend the range of income distributions which are comparable according to the ray-invariance criterion..

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File URL: http://www.ecineq.org/milano/WP/ECINEQ2007-63.pdf
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Bibliographic Info

Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 63.

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Length: 24 pages
Date of creation: 2007
Date of revision:
Handle: RePEc:inq:inqwps:ecineq2007-63

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Keywords: Income distribution; Intermediate inequality indices; Unit-consistency; Ray-invariance.;

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References

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  1. Ernesto Savaglio, 2006. "Multidimensional inequality with variable population size," Economic Theory, Springer, vol. 28(1), pages 85-94, 05.
  2. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
  3. Buhong Zheng, 2007. "Unit-Consistent Poverty Indices," Economic Theory, Springer, vol. 31(1), pages 113-142, April.
  4. Satya Chakravarty, 2001. "The Variance as a subgroup decomposable measure of inequality," Social Indicators Research, Springer, vol. 53(1), pages 79-95, January.
  5. Thibault Gajdos & John A. Weymark, 2003. "Multidimensional Generalized Gini Indices," Vanderbilt University Department of Economics Working Papers 0311, Vanderbilt University Department of Economics, revised Jul 2003.
  6. Tateo Yoshida, 2005. "Social welfare rankings of income distributions A new parametric concept of intermediate inequality," Social Choice and Welfare, Springer, vol. 24(3), pages 557-574, 06.
  7. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
  8. Bossert, Walter & Pfingsten, Andreas, 1990. "Intermediate inequality: concepts, indices, and welfare implications," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 117-134, April.
  9. Coral del RÎo & Javier Ruiz-Castillo, 2000. "Intermediate inequality and welfare," Social Choice and Welfare, Springer, vol. 17(2), pages 223-239.
  10. Seidl, Christian & Theilen, Bernd, 1994. "Stochastic independence of distributional attitudes and social status : A comparison of German and Polish data," European Journal of Political Economy, Elsevier, vol. 10(2), pages 295-310, July.
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Citations

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Cited by:
  1. Paul Allanson & Dennis Petrie, 2012. "Understanding the vertical equity judgements underpinning health inequality measures," Dundee Discussion Papers in Economics 264, Economic Studies, University of Dundee.
  2. Francisco Azpitarte & Olga Alonso-Villar, 2011. "Ray-invariant intermediate inequality measures: A Lorenz dominance criterion," Working Papers 226, ECINEQ, Society for the Study of Economic Inequality.
  3. Casilda Lasso de la Vega & Ana Urrutia & Oscar Volij, 2013. "An axiomatic characterization of the Theil inequality ordering," Economic Theory, Springer, vol. 54(3), pages 757-776, November.
  4. Francisco Azpitarte & Olga Alonso-Villar, 2012. "A Dominance Criterion for Measuring Income Inequality from a Centrist View: The Case of Australia," Melbourne Institute Working Paper Series wp2012n03, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
  5. Satya Chakravarty & Swami Tyagarupananda, 2009. "The subgroup decomposable intermediate indices of inequality," Spanish Economic Review, Springer, vol. 11(2), pages 83-97, June.

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