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Polarization Orderings Of Income Distributions

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  • Satya R. Chakravarty
  • Conchita D'Ambrosio

Abstract

This paper considers an intermediate notion of polarization which is defined as a convex mix of relative and absolute concepts of polarization. While absolute polarization indices remain unchanged under equal absolute augmentation in all incomes, relative indices do not change under equiproportionate variations in all incomes. We then identify the class of intermediate polarization indices whose orderings of alternative income distributions agree with the rankings generated by intermediate polarization curves. The ranking relation developed is implemented by a simple graphical device. Finally, a numerical illustration of the results developed in the paper is provided using data from Southern European countries. Copyright 2009 The Authors. Journal compilation International Association for Research in Income and Wealth 2009.

Suggested Citation

  • 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.
  • Handle: RePEc:bla:revinw:v:56:y:2010:i:1:p:47-64
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    References listed on IDEAS

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    1. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
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    7. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    8. Amiel, Yoram & Cowell, Frank A. & Ramos, Xavier, 2007. "On the Measurement of Polarisation: A Questionnaire Study," IZA Discussion Papers 2686, Institute for the Study of Labor (IZA).
    9. Wolfson, Michael, 1997. "Divergent Inequalities - Theory and Empirical Results (Revised Edition)," Analytical Studies Branch Research Paper Series 1997066e, Statistics Canada, Analytical Studies Branch.
    10. X. Zhang & R. Kanbur, 2001. "What Difference Do Polarisation Measures Make? An Application to China," Journal of Development Studies, Taylor & Francis Journals, vol. 37(3), pages 85-98.
    11. Wolfson, Michael C, 1997. "Divergent Inequalities: Theory and Empirical Results," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 43(4), pages 401-421, December.
    12. Chakravarty, Satya R & Majumder, Amita, 2001. "Inequality, Polarisation and Welfare: Theory and Applications," Australian Economic Papers, Wiley Blackwell, vol. 40(1), pages 1-13, March.
    13. 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.
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    Cited by:

    1. Deutsch, Joseph & Fusco, Alessio & Silber, Jacques, 2013. "The BIP Trilogy (bipolarization, inequality and polarization): One saga but three different stories," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 7, pages 1-33.
    2. repec:eme:reinzz:s1049-258520170000025003 is not listed on IDEAS
    3. repec:bla:revinw:v:63:y:2017:i:4:p:608-632 is not listed on IDEAS
    4. 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, March.
    5. Gaston Yalonetzky, 2013. "Relative bipolarization quasi-ordering based on Between-Group Gini (BGG) curves," Working Papers 318, ECINEQ, Society for the Study of Economic Inequality.
    6. Gaston Yalonetzky, 2014. "Relative bipolarization Lorenz curve," Economics Bulletin, AccessEcon, vol. 34(2), pages 1103-1113.
    7. Gaston Yalonetzky, 2016. "The necessary requirement of median independence for relative bipolarisation measurement," Working Papers 420, ECINEQ, Society for the Study of Economic Inequality.
    8. Gaston Yalonetzky, 2016. "The benchmark of maximum relative bipolarisation," Working Papers 419, ECINEQ, Society for the Study of Economic Inequality.
    9. Michal Brzezinski, 2013. "Income Polarization and Economic Growth," LIS Working papers 587, LIS Cross-National Data Center in Luxembourg.
    10. Louis Chauvel, 2016. "The Intensity and Shape of Inequality: The ABG Method of Distributional Analysis," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62(1), pages 52-68, March.
    11. Fuad Aleskerov & Victoria Oleynik, 2016. "Multidimensional Polarization Index and its Application to an Analysis of the Russian State Duma," Papers 1608.01351, arXiv.org.
    12. 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.
    13. Arturo Martinez Jr. & Mark Western & Michele Haynes & Wojtek Tomaszewski, 2015. "How Income Segmentation Affects Income Mobility: Evidence from Panel Data in the Philippines," Asia and the Pacific Policy Studies, Wiley Blackwell, vol. 2(3), pages 590-608, September.
    14. Louis Chauvel, 2014. "The Intensity and Shape of Inequality: The ABG Method of Distributional Analysis," LIS Working papers 609, LIS Cross-National Data Center in Luxembourg.
    15. Mauro Mussini & Biancamaria Zavanella, 2015. "Measuring bipolarization in labour productivity in Italy: a new index and its decomposition by sectors and regional factors," RIVISTA DI ECONOMIA E STATISTICA DEL TERRITORIO, FrancoAngeli Editore, vol. 2015(3), pages 29-55.
    16. Peter Lambert, 2010. "James Foster and Michael Wolfson’s 1992 paper “Polarization and the decline of the middle class”," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(2), pages 241-245, June.

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