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On the Decomposition of Polarization Indices: Illustrations with Chinese and Nigerian Household Surveys

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Abdelkrim Araar

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Abstract

This paper explores the link between polarization and inequality and proposes some analytical methods to decompose the Duclos, Esteban, and Ray (2004) polarization index by population groups or income sources. In some cases, the decomposition methods were extend to the Esteban and Ray (1994) one. The main aim of these decomposition methods is to extend the interpretation derived from polarization indices to that of contribution components. Results drawn from Chinese data conclude that even if inequality has increased sharply during the last two decades, the pure polarization component was remained constant or even decreased on average. On the other hand, results from the 2004 Nigerian survey conclude that the population is spatially polarized, and this, based on geo-ecological zones. Furthermore, the two income sources, namely, Employment income and Non farm business income, significantly contribute to total polarization.

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Paper provided by CIRPEE in its series Cahiers de recherche with number 0806.

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Date of creation: 2008
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Handle: RePEc:lvl:lacicr:0806

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Related research
Keywords: Polarization; Equity; Inequality; Decomposition;

Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D64 - Microeconomics - - Welfare Economics - - - Altruism

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  1. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-27, September. [Downloadable!] (restricted)
  2. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-51, July. [Downloadable!] (restricted)
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  3. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May. [Downloadable!] (restricted)
  4. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
  5. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-55, June. [Downloadable!] (restricted)
  6. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-31.
  7. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November. [Downloadable!] (restricted)
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  8. Dwayne Benjamin & Loren Brandt & John Giles & Sangui Wang, 2005. "Income Inequality During China's Economic Transition," Working Papers tecipa-238, University of Toronto, Department of Economics. [Downloadable!]
  9. Abdelkrim Araar, 2006. "On the Decomposition of the Gini Coefficient: an Exact Approach, with an Illustration Using Cameroonian Data," Cahiers de recherche 0602, CIRPEE. [Downloadable!]
  10. Ravallion, Martin & Chen, Shaohua, 1997. "What Can New Survey Data Tell Us about Recent Changes in Distribution and Poverty?," World Bank Economic Review, Oxford University Press, vol. 11(2), pages 357-82, May.
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  11. Abdelkrim Araar & Awoyemi Taiwo Timothy, 2006. "Poverty and Inequality Nexus: Illustrations with Nigerian Data," Cahiers de recherche 0638, CIRPEE. [Downloadable!]
  12. Hey, John D & Lambert, Peter J, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, MIT Press, vol. 95(3), pages 567-73, November.
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