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

  • Paul Makdissi

    ()

    (Department of Economics, University of Ottawa)

  • Stephane Mussard

    ()

    (Lameta-Cnrs Université de Montpellier I. Address: Lameta-Cnrs, Université Montpellier I, GREDI-Universite de Sherbrooke)

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://gredi.recherche.usherbrooke.ca/wpapers/GREDI-1001.pdf
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Paper provided by Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke in its series Cahiers de recherche with number 10-01.

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Length: 20 pages
Date of creation: 06 Jan 2010
Date of revision:
Handle: RePEc:shr:wpaper:10-01
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  1. Rolf Aaberge, 2004. "Ranking Intersecting Lorenz Curves," CEIS Research Paper 45, Tor Vergata University, CEIS.
  2. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
  3. 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.
  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. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
  6. Paul Makdissi & Stéphane Mussard, 2006. "Decomposition of s-Concentration Curves," Cahiers de recherche 06-21, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  7. 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.
  8. Wildasin, David E, 1984. "On Public Good Provision with Distortionary Taxation," Economic Inquiry, Western Economic Association International, vol. 22(2), pages 227-43, April.
  9. 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.
  10. 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.
  11. 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.
  12. repec:ebl:ecbull:v:4:y:2007:i:36:p:1-6 is not listed on IDEAS
  13. King, Mervyn A., 1983. "Welfare analysis of tax reforms using household data," Journal of Public Economics, Elsevier, vol. 21(2), pages 183-214, July.
  14. 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.
  15. 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.
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