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Measuring polarization, inequality, welfare and poverty

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Abstract

This paper analyzes the relationship between polarization and inequality, welfare and poverty measures. First, the Wolfson polarization measure is generalized in terms of the between-groups and within-groups Gini components for income groups separated by any z income value. Second, it is shown that polarization is the difference between the welfare levels of rich and poor income groups when feelings of identification between individuals are based on their utility functions. Third, the proposed polarization measure is a function of the Sen poverty index, its extension due to Shorrocks (1995) and the normalized poverty deficit index when the z income value represents the poverty line. In addition, these results are linked to the Esteban and Ray (1994) and Esteban et al. (1999) polarization measures.

Suggested Citation

  • Juan Gabriel Rodríguez, 2004. "Measuring polarization, inequality, welfare and poverty," Economic Working Papers at Centro de Estudios Andaluces E2004/75, Centro de Estudios Andaluces.
  • Handle: RePEc:cea:doctra:e2004_75
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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?," World Bank Economic Review, World Bank Group, vol. 11(2), pages 357-382, May.
    2. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    3. 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.
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    6. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    7. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
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    19. 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.
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    22. 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, Journal of Income Distribution, vol. 15(3-4), pages 42-54, December.
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    Cited by:

    1. 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.
    2. Abdelkrim Araar & Luis Huesca, 2014. "Comparison of the Tax System Progressivity Over Time: Theory and Application with Mexican Data," Cahiers de recherche 1419, CIRPEE.
    3. Abdelkrim Araar, 2008. "Social Classes, Inequality and Redistributive Policies in Canada," Cahiers de recherche 0817, CIRPEE.
    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.

    More about this item

    Keywords

    polarization; inequality; welfare; poverty.;

    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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