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

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  • 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)

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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Bibliographic Info

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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Keywords: Bi-polarization; Stochastic Dominance; Tax Reform;

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  1. 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.
  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. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
  4. Shlomo Yitzhaki & Joel Slemrod, 1987. "Welfare Dominance: An Application to Commodity Taxation," NBER Working Papers 2451, National Bureau of Economic Research, Inc.
  5. Paul Makdissi & Stéphane Mussard, 2006. "Decomposition of s - Concentration Curves," Cahiers de recherche 0641, CIRPEE.
  6. Rolf Aaberge, 2000. "Ranking intersectiong Lorenz Curves," ICER Working Papers 08-2000, ICER - International Centre for Economic Research.
  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. 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.
  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. Paul Makdissi & Jean-Yves Duclos, 2002. "Socially-Improving Tax Reforms," Cahiers de recherche 02-01, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke, revised 2004.
  11. King, Mervyn A., 1983. "Welfare analysis of tax reforms using household data," Journal of Public Economics, Elsevier, vol. 21(2), pages 183-214, July.
  12. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
  13. repec:ebl:ecbull:v:4:y:2007:i:36:p:1-6 is not listed on IDEAS
  14. 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.
  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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