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Measuring Bipolarization, Inequality, Welfare and Poverty

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  • Juan Gabriel Rodríguez

    (Universidad Rey Juan Carlos)

Abstract

This paper analyzes the relationship between bipolarization and inequality, welfare and poverty measures. First, we clarify the similarities and differences between bipolarization and inequality measures. Second, it is shown that bipolarization is the difference between the welfare levels of the richer and poorer income groups when feelings of identification between individuals are based on their utility functions. In fact, bipolarization is interpreted as the welfare of the richer group that is wasted to compensate for income bipolarization. Third, a relationship between bipolarization measurement and the normalized poverty deficit index is established. These findings are applied to the polarization measures of Wolfson (1994), Esteban and Ray (1994) and Lasso de la Vega and Urrutia (2006).

Suggested Citation

  • Juan Gabriel Rodríguez, 2006. "Measuring Bipolarization, Inequality, Welfare and Poverty," Working Papers 39, ECINEQ, Society for the Study of Economic Inequality.
  • Handle: RePEc:inq:inqwps:ecineq2006-39
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    File URL: http://www.ecineq.org/milano/WP/ECINEQ2006-39.pdf
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    References listed on IDEAS

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    1. Ravallion, Martin & Chen, Shaohua, 1997. "What Can New Survey Data Tell Us about Recent Changes in Distribution and Poverty?," The World Bank Economic Review, World Bank, vol. 11(2), pages 357-382, May.
    2. Frank A. Cowell, 1980. "On the Structure of Additive Inequality Measures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(3), pages 521-531.
    3. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    4. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    5. Gradin, Carlos, 2000. "Polarization by Sub-populations in Spain, 1973-91," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 46(4), pages 457-474, 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. Michael C. Wolfson, 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.
    8. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-358, May.
    9. Juan G. Rodríguez & Rafael Salas, "undated". "Extended Bi-Polarization And Inequality Measures," Working Papers 10-03 Classification-JEL , Instituto de Estudios Fiscales.
    10. Conchita D’Ambrosio & Edward N. Wolff, 2006. "Is Wealth Becoming More Polarized in the United States?," Chapters, in: Edward N. Wolff (ed.), International Perspectives on Household Wealth, chapter 12, Edward Elgar Publishing.
    11. Newbery, David, 1970. "A theorem on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 264-266, September.
    12. Juan Prieto-Rodríguez & Juan Gabriel Rodríguez & Rafael Salas, "undated". "Interactions Inequality-Polarization: Characterization Results(*)," Working Papers 15-05 Classification-JEL , Instituto de Estudios Fiscales.
    13. Duclos, Jean-Yves & Echevin, Damien, 2005. "Bi-polarization comparisons," Economics Letters, Elsevier, vol. 87(2), pages 249-258, May.
    14. Satya R. Chakravarty & Amita Majumder, 2001. "Inequality, Polarisation and Welfare: Theory and Applications," Australian Economic Papers, Wiley Blackwell, vol. 40(1), pages 1-13, March.
    15. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    16. 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.
    17. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-255, June.
    18. 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.
    19. Sheshinski, Eytan, 1972. "Relation between a social welfare function and the gini index of income inequality," Journal of Economic Theory, Elsevier, vol. 4(1), pages 98-100, February.
    20. Ma Casilda Lasso de la Vega & Ana Marta Urrutia, 2006. "An Alternative Formulation of the Esteban-Gradín-Ray Extended Measure of Polarization," Journal of Income Distribution, Ad libros publications inc., vol. 15(I), pages 42-54, December.
    21. 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.
    22. 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.
    23. Shlomo Yitzhaki, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(2), pages 321-324.
    24. Ma Casilda Lasso de la Vega & Ana Marta Urrutia, 2006. "An Alternative Formulation of the Esteban-Gradín-Ray Extended Measure of Polarization," Journal of Income Distribution, Ad libros publications inc., vol. 15(3-4), pages 42-54, December.
    25. John D. Hey & Peter J. Lambert, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 567-573.
    26. Conchita D’ambrosio, 2001. "Household Characteristics and the Distribution of Income In Italy: An Application of Social Distance Measures," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 47(1), pages 43-64, March.
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    Cited by:

    1. Abdelkrim Araar, 2008. "Social Classes, Inequality and Redistributive Policies in Canada," Cahiers de recherche 0817, CIRPEE.
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    3. C. Chameni Nembua, 2012. "On a class of bi-polarization variance-based measurement: evidence from Cameroonian data," Applied Economics Letters, Taylor & Francis Journals, vol. 19(13), pages 1311-1317, September.
    4. Luis Huesca Reynoso & Abdelkrim Araar, 2016. "Comparison of fiscal system progressivity over time: theory and application in Mexico," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 31(1), pages 3-45.

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    More about this item

    Keywords

    bipolarization; inequality; welfare; poverty.;
    All these keywords.

    JEL classification:

    • D39 - Microeconomics - - Distribution - - - Other
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H30 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - General

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