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Relative bipolarization Lorenz curve

Author

Listed:
  • 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.

Suggested Citation

  • Gaston Yalonetzky, 2014. "Relative bipolarization Lorenz curve," Economics Bulletin, AccessEcon, vol. 34(2), pages 1103-1113.
    • Handle: RePEc:ebl:ecbull:eb-14-00195
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    File URL: http://www.accessecon.com/Pubs/EB/2014/Volume34/EB-14-V34-I2-P102.pdf
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    References listed on IDEAS

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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," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(1), pages 1-19, April.
    2. 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, vol. 2(3), pages 349-363.
    3. repec:ebl:ecbull:v:4:y:2007:i:36:p:1-6 is not listed on IDEAS
    4. Satya R. Chakravarty, 2009. "Inequality, Polarization and Poverty," Economic Studies in Inequality, Social Exclusion, and Well-Being, Springer, number 978-0-387-79253-8, Fall.
    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. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-1227, September.
    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. James Foster & Michael Wolfson, 2010. "Polarization and the decline of the middle class: Canada and the U.S," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(2), pages 247-273, June.
    9. 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, March.
    10. You‐Qiang Wang & Kai‐Yuen Tsui, 2000. "Polarization Orderings and New Classes of Polarization Indices," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(3), pages 349-363, July.
    11. Ma 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, March.
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    Cited by:

    1. Gaston Yalonetzky, 2017. "The Benchmark of Maximum Relative Bipolarisation," Research on Economic Inequality, in: Research on Economic Inequality, volume 25, pages 39-50, Emerald Group Publishing Limited.
    2. Marek Kosny & Gaston Yalonetzky, 2016. "Relative p-bipolarisation measurement with generalised means and hybrid Lorenz curves," Working Papers 404, ECINEQ, Society for the Study of Economic Inequality.

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    More about this item

    Keywords

    Bipolarization; Lorenz curve.;

    JEL classification:

    • D3 - Microeconomics - - Distribution
    • D6 - Microeconomics - - Welfare Economics

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