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

  • Paul Makdissi


    (Department of Economics, University of Ottawa, Ottawa, ON)

  • Stéphane Mussard


    (Lameta-Cnrs, Université de Montpellier I, Avenue de la Mer - Site de Richter C.S. 79606, 34960 Montpellier Cedex 2 France)

In this paper, we investigate a dual class of bi-polarization indices, namely rank-dependent bipolarization 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 bipolarization- 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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Paper provided by University of Ottawa, Department of Economics in its series Working Papers with number 1001E.

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Length: 20 pages
Date of creation: 2010
Date of revision:
Handle: RePEc:ott:wpaper:1001e
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  1. Rolf Aaberge, 2000. "Ranking Intersecting Lorenz Curves," Discussion Papers 271, Statistics Norway, Research Department.
  2. King, Mervyn A., 1983. "Welfare analysis of tax reforms using household data," Journal of Public Economics, Elsevier, vol. 21(2), pages 183-214, July.
  3. Shlomo Yitzhaki & Joel Slemrod, 1987. "Welfare Dominance: An Application to Commodity Taxation," NBER Working Papers 2451, National Bureau of Economic Research, Inc.
  4. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
  5. 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.
  6. Jean-Yves Duclos & Paul Makdissi & Quentin Wodon, 2004. "Socially-Improving Tax Reforms," Cahiers de recherche 0401, CIRPEE.
  7. 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.
  8. Paul Makdissi & Stéphane Mussard, 2006. "Analyzing the Impact of Indirect Tax Reforms on Rank Dependant Social Welfare Functions: A Positional Dominance Approach," Cahiers de recherche 06-02, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  9. Makdissi, Paul & Mussard, Stéphane, 2006. "Decomposition of s-Concentration Curves," IRISS Working Paper Series 2006-09, IRISS at CEPS/INSTEAD.
  10. 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.
  11. Wildasin, David E, 1984. "On Public Good Provision with Distortionary Taxation," Economic Inquiry, Western Economic Association International, vol. 22(2), pages 227-43, April.
  12. repec:ebl:ecbull:v:4:y:2007:i:36:p:1-6 is not listed on IDEAS
  13. 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.
  14. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
  15. Silber, Jacques & Berrebi, Z. M., 1988. "Distance functions and the comparison of development levels," Economics Letters, Elsevier, vol. 27(2), pages 195-200.
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