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Multidimensional Polarization Index and its Application to an Analysis of the Russian State Duma

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  • Fuad Aleskerov
  • Victoria Oleynik

Abstract

The multidimensional extension of the Aleskerov-Golubenko polarization index is developed. Several versions of the polarization index are proposed based on different distance functions. Basic properties of the index are examined.

Suggested Citation

  • Fuad Aleskerov & Victoria Oleynik, 2016. "Multidimensional Polarization Index and its Application to an Analysis of the Russian State Duma," Papers 1608.01351, arXiv.org.
    • Handle: RePEc:arx:papers:1608.01351
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    References listed on IDEAS

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    1. José G. Montalvo & Marta Reynal-Querol, 2005. "Ethnic Polarization, Potential Conflict, and Civil Wars," American Economic Review, American Economic Association, vol. 95(3), pages 796-816, June.
    2. 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.
    3. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    4. Walter Bossert & Satya R. Chakravarty & Conchita D’Ambrosio, 2019. "Multidimensional Poverty and Material Deprivation with Discrete Data," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 191-209, Springer.
    5. 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.
    6. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-358, May.
    7. Wolfson, Michael, 1997. "Divergent Inequalities - Theory and Empirical Results (Revised Edition)," Analytical Studies Branch Research Paper Series 1997066e, Statistics Canada, Analytical Studies Branch.
    8. Juan G. Rodríguez & Rafael Salas, "undated". "Extended Bi-Polarization And Inequality Measures," Working Papers 10-03 Classification-JEL , Instituto de Estudios Fiscales.
    9. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    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. Chiara Gigliarano & Karl Mosler, 2009. "Constructing indices of multivariate polarization," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(4), pages 435-460, December.
    12. Satya R. Chakravarty & Amita Majumder & Sonali Roy, 2007. "A Treatment Of Absolute Indices Of Polarization," The Japanese Economic Review, Japanese Economic Association, vol. 58(2), pages 273-293, June.
    13. 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.
    14. Joan Esteban & Debraj Ray, 2008. "Polarization, Fractionalization and Conflict," Journal of Peace Research, Peace Research Institute Oslo, vol. 45(2), pages 163-182, March.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 51-65, April.
    20. José Garcia Montalvo & Marta Reynal-Querol, 2004. "Ethnic polarization, potential conflict and civil wars," Economics Working Papers 770, Department of Economics and Business, Universitat Pompeu Fabra, revised Mar 2005.
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