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Relative bipolarization quasi-ordering based on Between-Group Gini (BGG) curves

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  • Gaston Yalonetzky

    ()
    (University of Leeds, UK)

Abstract

This note proposes a relative bipolarization quasi-ordering based on Between-Group Gini (BGG) curves, which is consistent with the quasi-ordering generated by relative bipolarization indices satisfying key axioms. Therefore the quasi-ordering induced by BGG curves is identical to the one induced by relative bipolarization curves (the secondorder curves in Foster and Wolfson (2010)). An appealing trait of BGG curves is their intuitive and straightforward representation of relative bipolarization situations, including minimum and maximum bipolarization, as well as any intermediate situation of perfect bimodality.

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Bibliographic Info

Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 318.

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Length: 14 pages
Date of creation: Nov 2013
Date of revision:
Handle: RePEc:inq:inqwps:ecineq2013-318

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Keywords: Bipolarization; Gini decomposition.;

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  1. Joan Esteban & Carlos Gradín & Debraj Ray, 2007. "An Extension of a Measure of Polarization, with an application to the income distribution of five OECD countries," Journal of Economic Inequality, Springer, vol. 5(1), pages 1-19, April.
  2. James Foster & Michael Wolfson, 2010. "Polarization and the decline of the middle class: Canada and the U.S," Journal of Economic Inequality, Springer, vol. 8(2), pages 247-273, June.
  3. M-super-a Casilda Lasso de la Vega & Ana Urrutia & Henar Díez, 2010. "Unit Consistency And Bipolarization Of Income Distributions," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 65-83, 03.
  4. repec:ebl:ecbull:v:4:y:2007:i:36:p:1-6 is not listed on IDEAS
  5. Walter Bossert & William Schworm, 2008. "A Class of Two-Group Polarization Measures," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(6), pages 1169-1187, December.
  6. Satya R. Chakravarty & Conchita D'Ambrosio, 2010. "Polarization Orderings Of Income Distributions," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 47-64, 03.
  7. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-27, September.
  8. Jacques SILBER & Meital Hanoka & Joseph Deutsch, 2007. "On the Link Between the Concepts of Kurtosis and Bipolarization," Economics Bulletin, AccessEcon, vol. 4(36), pages 1-6.
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