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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.

Suggested Citation

  • Paul Makdissi & Stéphane Mussard, 2009. "Rank-Dependent Measures of Bi-Polarization and Marginal Tax Reforms," Working Papers 09-29, LAMETA, Universtiy of Montpellier, revised Dec 2009.
  • Handle: RePEc:lam:wpaper:09-29
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    File URL: http://www.lameta.univ-montp1.fr/Documents/DR2009-29.pdf
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    References listed on IDEAS

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    1. 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.
    2. Wildasin, David E, 1984. "On Public Good Provision with Distortionary Taxation," Economic Inquiry, Western Economic Association International, vol. 22(2), pages 227-243, April.
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    4. Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
    5. Silber, Jacques & Berrebi, Z. M., 1988. "Distance functions and the comparison of development levels," Economics Letters, Elsevier, vol. 27(2), pages 195-200.
    6. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-358, May.
    7. 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.
    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.
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    13. Paul Makdissi & Stéphane Mussard, 2008. "Decomposition of s-concentration curves," Canadian Journal of Economics, Canadian Economics Association, vol. 41(4), pages 1312-1328, November.
    14. 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;The Society for Social Choice and Welfare, vol. 30(3), pages 385-399, April.
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    Cited by:

    1. Mickaël Beaud & Thierry Blayac & Patrice Bougette & Soufiane Khoudmi & Philippe Mahenc & Stéphane Mussard, 2013. "Estimation du coût d'opportunité des fonds publics pour l'économie française," Working Papers halshs-01077141, HAL.

    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General

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