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Rank-Dependent Measures of Bi-Polarization and Marginal Tax Reforms

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  • Paul Makdissi
  • Stéphane Mussard

Abstract

In this paper, we investigate a dual class of bi-polarization indices, namely rank-dependent bi-polarization indices. We show that these indices may be characterized with the generalized positional transfer sensitivity property. We find necessary and sufficient conditions in order to identify bi-polarization-reducing marginal tax reforms. Precisely, we propose inverse positional dominance criteria based on the comparison of bi-polarization concentration curves. An illustration is presented using the Jordanian Household Expenditure and Income Survey 2002/2003.

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File URL: http://www.lameta.univ-montp1.fr/Documents/DR2009-29.pdf
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Bibliographic Info

Paper provided by LAMETA, Universtiy of Montpellier in its series Working Papers with number 09-29.

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Length: 19 pages
Date of creation: Dec 2009
Date of revision: Dec 2009
Handle: RePEc:lam:wpaper:09-29

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  1. repec:ebl:ecbull:v:4:y:2007:i:36:p:1-6 is not listed on IDEAS
  2. Berrebi, Z. M. & Silber, Jacques, 1989. "Deprivation, the Gini index of inequality and the flatness of an income distribution," Mathematical Social Sciences, Elsevier, vol. 18(3), pages 229-237, December.
  3. Paul Makdissi & Stéphane Mussard, 2008. "Analyzing the impact of indirect tax reforms on rank-dependent social welfare functions: a positional dominance approach," Social Choice and Welfare, Springer, vol. 30(3), pages 385-399, April.
  4. Silber, Jacques & Berrebi, Z. M., 1988. "Distance functions and the comparison of development levels," Economics Letters, Elsevier, vol. 27(2), pages 195-200.
  5. 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 349-63.
  6. Rolf Aaberge, 2004. "Ranking Intersecting Lorenz Curves," CEIS Research Paper 45, Tor Vergata University, CEIS.
  7. 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 401-21, December.
  8. King, Mervyn A., 1983. "Welfare analysis of tax reforms using household data," Journal of Public Economics, Elsevier, vol. 21(2), pages 183-214, July.
  9. Wildasin, David E, 1984. "On Public Good Provision with Distortionary Taxation," Economic Inquiry, Western Economic Association International, vol. 22(2), pages 227-43, April.
  10. Jean-Yves Duclos & Paul Makdissi & Quentin Wodon, 2008. "Socially Improving Tax Reforms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(4), pages 1505-1537, November.
  11. Yitzhaki, Shlomo & Slemrod, Joel, 1991. "Welfare Dominance: An Application to Commodity Taxation," American Economic Review, American Economic Association, vol. 81(3), pages 480-96, June.
  12. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
  13. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
  14. Besley, Timothy J & Kanbur, S M Ravi, 1988. "Food Subsidies and Poverty Alleviation," Economic Journal, Royal Economic Society, vol. 98(392), pages 701-19, September.
  15. Paul Makdissi & Stéphane Mussard, 2006. "Decomposition of s - Concentration Curves," Cahiers de recherche 0641, CIRPEE.
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