IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Classical Horizontal Inequity and Reranking: an Integrated Approach

  • Duclos, Jean-Yves
  • Jalbert, Vincent
  • Araar, Abdelkrim

The last 20 years have seen a significant evolution in the literature on horizontal inequity (HI) and have led to two major and "rival" methodological strands, namely, classical HI and reranking. We propose in this paper a class of ethically flexible tools that integrate these two strands. This is achieved using a measure of inequality that merges the well-known Gini coefficient and Atkinson index, and that allows a decomposition of the total redistributive effect of taxes and transfers into a vertical equity effect, a loss of redistribution due to classical HI, and a loss of redistribution due to reranking. An inequality-change approach and a money-metric cost-of-inequality approach are developed. The latter approach makes aggregate classical HI decomposable across socio-economic groups and percentiles. As in recent work, equals are identified through a nonparametric estimation of the joint density of gross and net incomes. An illustration using Canadian data from 1981 to 1994 shows a substantial, and increasing, robust erosion of redistribution attributable both to classical HI and to reranking, but does not reveal whether reranking is more or less important than classical HI, since this requires a judgement that is fundamentally normative.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.ecn.ulaval.ca/w3/recherche/cahiers/2000/0002.pdf
Download Restriction: no

Paper provided by Université Laval - Département d'économique in its series Cahiers de recherche with number 0002.

as
in new window

Length:
Date of creation: 2000
Date of revision:
Handle: RePEc:lvl:laeccr:0002
Contact details of provider: Postal: Pavillon J.A. De Sève, Québec, Québec, G1K 7P4
Phone: (418) 656-5122
Fax: (418) 656-2707
Web page: http://www.ecn.ulaval.ca
Email:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer, vol. 7(2), pages 141-162, March.
  2. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May.
  3. Robert Plotnick, 1985. "A Comparison of Measures of Horizontal Inequity," NBER Chapters, in: Horizontal Equity, Uncertainty, and Economic Well-Being, pages 239-268 National Bureau of Economic Research, Inc.
  4. Pfahler, Wilhelm, 1987. "Redistributive Effects of Tax Progressivity: Evaluating a General Class of Aggregate Measures," Public Finance = Finances publiques, , vol. 42(1), pages 1-31.
  5. Kaplow, Louis, 1995. "A Fundamental Objection to Tax Equity Norms: A Call for Utilitarianism," National Tax Journal, National Tax Association, vol. 48(4), pages 497-514, December.
  6. Balcer, Yves & Sadka, Efraim, 1986. "Equivalence scales, horizontal equity and optimal taxation under utilitarianism," Journal of Public Economics, Elsevier, vol. 29(1), pages 79-97, February.
  7. Duclos, Jean-Yves, 1995. "Assessing the Performance of an Income Tax," Bulletin of Economic Research, Wiley Blackwell, vol. 47(2), pages 115-26, April.
  8. Louis Kaplow, 1985. "Horizontal Equity: Measures in Search of a Principle," NBER Working Papers 1679, National Bureau of Economic Research, Inc.
  9. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-27, September.
  10. Alan J. Auerbach & Kevin A. Hassett, 2002. "A New Measure of Horizontal Equity," American Economic Review, American Economic Association, vol. 92(4), pages 1116-1125, September.
  11. Davidson, R. & Duclos, J.Y., 1995. "Statistical Inference for the Measurement of the Incidence of Taxes and Transfers," Papers 9521, Laval - Recherche en Politique Economique.
  12. Lerman, Robert I. & Yitzhaki, Shlomo, 1995. "Changing Ranks and the Inequality Impacts of Taxes and Transfers," National Tax Journal, National Tax Association, vol. 48(1), pages 45-59, March.
  13. Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, vol. 44(4), pages 805-09, July.
  14. Stephen Jenkins & Peter Lambert, . "Horizontal Inequity Measurement: A Basic Reassessment," Discussion Papers 96/21, Department of Economics, University of York.
  15. Donaldson, David & Weymark, John A., 1983. "Ethically flexible gini indices for income distributions in the continuum," Journal of Economic Theory, Elsevier, vol. 29(2), pages 353-358, April.
  16. Kakwani, Nanok C, 1977. "Measurement of Tax Progressivity: An International Comparison," Economic Journal, Royal Economic Society, vol. 87(345), pages 71-80, March.
  17. Berrebi, Z. M. & Silber, Jacques, 1981. "Weighting income ranks and levels : A Multiple-Parameter Generalization For Absolute and Relative Inequality Indices," Economics Letters, Elsevier, vol. 7(4), pages 391-397.
  18. Stiglitz, Joseph E., 1982. "Utilitarianism and horizontal equity : The case for random taxation," Journal of Public Economics, Elsevier, vol. 18(1), pages 1-33, June.
  19. Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer, vol. 17(4), pages 639-653.
  20. DUCLOS, Jean-Yves, 1994. "Progressivity, Redistribution and Equity, with Application to the British Tax and Benefit System," Cahiers de recherche 9403, Université Laval - Département d'économique.
  21. Aronson, J. Richard & Lambert, Peter J., 1994. "Decomposing the Gini Coefficient to Reveal the Vertical, Horizontal, and Reranking Effects of Income Taxation," National Tax Journal, National Tax Association, vol. 47(2), pages 273-94, June.
  22. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
  23. Porath Elchanan Ben & Gilboa Itzhak, 1994. "Linear Measures, the Gini Index, and The Income-Equality Trade-off," Journal of Economic Theory, Elsevier, vol. 64(2), pages 443-467, December.
  24. Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer, vol. 16(2), pages 183-196.
  25. Hey, John D & Lambert, Peter J, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, MIT Press, vol. 95(3), pages 567-73, November.
  26. Jean-Yves Duclos & Peter J. Lambert, 2000. "A normative and statistical approach to measuring classical horizontal inequity," Canadian Journal of Economics, Canadian Economics Association, vol. 33(1), pages 87-113, February.
  27. Blackorby, Charles & Donaldson, David, 1978. "Measures of relative equality and their meaning in terms of social welfare," Journal of Economic Theory, Elsevier, vol. 18(1), pages 59-80, June.
  28. Lambert, Peter J. & Yitzhaki, Shlomo, 1995. "Equity, equality and welfare," European Economic Review, Elsevier, vol. 39(3-4), pages 674-682, April.
  29. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-46, March.
  30. Duclos, Jean-Yves, 1995. "On Equity Aspects of Imperfect Income Distribution," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 41(2), pages 177-90, June.
  31. Louis Kaplow, 1994. "A Fundamental Objection to Tax Equity Norms: A Call for Utilitarianism," NBER Working Papers 4961, National Bureau of Economic Research, Inc.
  32. Muliere, Pietro & Scarsini, Marco, 1989. "A note on stochastic dominance and inequality measures," Journal of Economic Theory, Elsevier, vol. 49(2), pages 314-323, December.
  33. Kaplow, Louis, 1989. "Horizontal Equity: Measures in Search of a Principle," National Tax Journal, National Tax Association, vol. 42(2), pages 139-54, June.
  34. Chew, S. H. & Epstein, L. G., 1989. "A unifying approach to axiomatic non-expected utility theories," Journal of Economic Theory, Elsevier, vol. 49(2), pages 207-240, December.
  35. DUCLOS, Jean-Yves, 1995. "Measuring Progressivity and Inequality," Cahiers de recherche 9525, Université Laval - Département d'économique.
  36. Jenkins, S., 1988. "Empirical Measurement Of Horizontal Inequity," Papers 169, Australian National University - Department of Economics.
  37. Hong Chew Soo & Epstein Larry G. & Wakker Peter, 1993. "A Unifying Approach to Axiomatic Non-expected Utility Theories: Correction and Comment," Journal of Economic Theory, Elsevier, vol. 59(1), pages 183-188, February.
  38. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931, March.
  39. 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 262-70, March.
  40. Plotnick, Robert, 1982. "The concept and measurement of horizontal inequity," Journal of Public Economics, Elsevier, vol. 17(3), pages 373-391, April.
  41. Yitzhaki, Shlomo, 1983. "On an Extension of the Gini Inequality Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 617-28, October.
  42. Peter Lambert & Xavier Ramos, 1997. "Horizontal Inequity and Vertical Redistribution," International Tax and Public Finance, Springer, vol. 4(1), pages 25-37, January.
  43. Duclos, Jean-Yves, 1997. "The asymptotic distribution of linear indices of inequality, progressivity and redistribution," Economics Letters, Elsevier, vol. 54(1), pages 51-57, January.
  44. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
  45. Charles Blackorby & David Donaldson, 1984. "Ethical Social Index Numbers and the Measurement of Effective Tax-Benefit Progressivity," Canadian Journal of Economics, Canadian Economics Association, vol. 17(4), pages 683-94, November.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:lvl:laeccr:0002. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Johanne Perron)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.