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A Normative Approach to Measuring Classical Horizontal Inequity

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  • Duclos, Jean-Yves
  • Lambert, Peter J.

Abstract

This paper makes a new attack on the old problem of measuring horizontal inequity (HI). A local measure of HI is proposed, and aggregated into a global index. Whilst other approaches have captured the welfare gain which would come from eliminating HI revenue-neutrally, our global index provides a measure of the revenue gain per capita which would come from eliminating HI welfare-neutrally. When expressed as a fraction of mean post-tax income, the measure can be viewed as a negative component in the Blackorby and Donaldson (1984) index of tax progressivity, quantifying the loss of vertical performance arising from differences in the tax treatment of equals. Being money-metric, the measure can also be easily and intuitively interpreted. We propose non- parametric estimation procedures to obviate the important þidentification of equalsþ problem. To our knowledge, this provides the first consistent statistical solution to measuring classical horizontal inequity. The method is applied to the Canadian distributions of gross and net incomes in 1981 and 1990.

Suggested Citation

  • Duclos, Jean-Yves & Lambert, Peter J., 1997. "A Normative Approach to Measuring Classical Horizontal Inequity," Cahiers de recherche 9701, Université Laval - Département d'économique.
  • Handle: RePEc:lvl:laeccr:9701
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    References listed on IDEAS

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    1. Duclos, Jean-Yves, 1995. "Assessing the Performance of an Income Tax," Bulletin of Economic Research, Wiley Blackwell, vol. 47(2), pages 115-126, April.
    2. Jenkins, Stephen P., 1988. "Empirical measurement of horizontal inequity," Journal of Public Economics, Elsevier, vol. 37(3), pages 305-329, December.
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    11. Aronson, J Richard & Johnson, Paul & Lambert, Peter J, 1994. "Redistributive Effects and Unequal Income Tax Treatment," Economic Journal, Royal Economic Society, vol. 104(423), pages 262-270, March.
    12. Plotnick, Robert, 1982. "The concept and measurement of horizontal inequity," Journal of Public Economics, Elsevier, vol. 17(3), pages 373-391, April.
    13. Duclos, Jean-Yves, 1993. "Progressivity, Redistribution, and Equity, with Application to the British Tax and Benefit System," Public Finance = Finances publiques, , vol. 48(3), pages 350-365.
    14. Mr. Peter J. Lambert, 1995. "On the Measurement of Horizontal Inequity," IMF Working Papers 1995/135, International Monetary Fund.
    15. Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-685, November.
    16. Jane G. Gravelle, 1992. "Equity Effects of the Tax Reform Act of 1986," Journal of Economic Perspectives, American Economic Association, vol. 6(1), pages 27-44, Winter.
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    20. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
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    Cited by:

    1. Duclos, Jean-Yves, 1998. "Social evaluation functions, economic isolation and the Suits index of progressivity," Journal of Public Economics, Elsevier, vol. 69(1), pages 103-121, July.
    2. Duclos, J.Y., 1995. "Economic Isolation, Inequality, and the Suits Index of Progressivity," Papers 9510, Laval - Recherche en Politique Economique.
    3. Jean-Yves Duclos, 2006. "Equity and Equality," Cahiers de recherche 0629, CIRPEE.
    4. Michael Grimm, 2007. "Removing the anonymity axiom in assessing pro-poor growth," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(2), pages 179-197, August.
    5. Sami Bibi & Jean‐Yves Duclos, 2005. "Decomposing poverty changes into vertical and horizontal components," Bulletin of Economic Research, Wiley Blackwell, vol. 57(2), pages 205-215, April.
    6. Duclos, Jean-Yves & Tabi, Martin, 1999. "Inégalité et redistribution du revenu, avec une application au Canada," L'Actualité Economique, Société Canadienne de Science Economique, vol. 75(1), pages 95-122, mars-juin.
    7. Bibi, Sami & Duclos, Jean-Yves, 2007. "Equity and policy effectiveness with imperfect targeting," Journal of Development Economics, Elsevier, vol. 83(1), pages 109-140, May.

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    More about this item

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

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