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Relative bipolarization Lorenz curve

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  • Gaston Yalonetzky

    ()
    (Leeds University Business School)

Abstract

This note proposes a relative bipolarization quasi-ordering based on relative bipolarization (RB) Lorenz curves, which is consistent with the quasi-ordering generated by relative bipolarization indices satisfying key axioms. Therefore the quasi-ordering induced by RB Lorenz curves is identical to the one induced by relative bipolarization curves (the second-order curves in Foster and Wolfson (2010)). An appealing trait of RB Lorenz 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

Article provided by AccessEcon in its journal Economics Bulletin.

Volume (Year): 34 (2014)
Issue (Month): 2 ()
Pages: 1103-1113

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Handle: RePEc:ebl:ecbull:eb-14-00195

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Keywords: Bipolarization; Lorenz curve.;

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  1. Wang, You-Qiang & Tsui, Kai-Yuen, 2000. " Polarization Orderings and New Classes of Polarization Indices," Journal of Public Economic Theory, Association for Public Economic Theory, Association for Public Economic Theory, vol. 2(3), pages 349-63.
  2. 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, International Association for Research in Income and Wealth, vol. 56(1), pages 65-83, 03.
  3. BOSSERT, Walter & SCHWORM, William, 2007. "A Class of Two-Group Polarization Measures," Cahiers de recherche, Centre interuniversitaire de recherche en économie quantitative, CIREQ 10-2007, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  4. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, Royal Economic Society, vol. 103(420), pages 1221-27, September.
  5. repec:ebl:ecbull:v:4:y:2007:i:36:p:1-6 is not listed on IDEAS
  6. 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, Springer, vol. 5(1), pages 1-19, April.
  7. 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.
  8. 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, International Association for Research in Income and Wealth, vol. 56(1), pages 47-64, 03.
  9. James Foster & Michael Wolfson, 2010. "Polarization and the decline of the middle class: Canada and the U.S," Journal of Economic Inequality, Springer, Springer, vol. 8(2), pages 247-273, June.
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