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New Unit-Consistent Intermediate Inequality Indices

  • Coral del Río

    (Universidade de Vigo)

  • Olga Alonso-Villar

    ()

    (Universidade de Vigo)

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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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
Contact details of provider: Web page: http://www.ecineq.org
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  1. Satya Chakravarty, 2001. "The Variance as a subgroup decomposable measure of inequality," Social Indicators Research, Springer, vol. 53(1), pages 79-95, January.
  2. 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.
  3. Ernesto Savaglio, 2006. "Multidimensional inequality with variable population size," Economic Theory, Springer, vol. 28(1), pages 85-94, 05.
  4. 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.
  5. Thibault Gajdos & John Weymark, 2005. "Multidimensional Generalized Gini Indices," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00085881, HAL.
  6. Bossert, Walter & Pfingsten, Andreas, 1990. "Intermediate inequality: concepts, indices, and welfare implications," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 117-134, April.
  7. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
  8. Buhong Zheng, 2007. "Unit-Consistent Poverty Indices," Economic Theory, Springer, vol. 31(1), pages 113-142, April.
  9. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
  10. Coral del RÎo & Javier Ruiz-Castillo, 2000. "Intermediate inequality and welfare," Social Choice and Welfare, Springer, vol. 17(2), pages 223-239.
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