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Classical Horizontal Inequity and Reranking: an Integrated Approach

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

Abstract

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.

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  • Duclos, Jean-Yves & Jalbert, Vincent & Araar, Abdelkrim, 2000. "Classical Horizontal Inequity and Reranking: an Integrated Approach," Cahiers de recherche 0002, Université Laval - Département d'économique.
  • Handle: RePEc:lvl:laeccr:0002
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    Cited by:

    1. Wagstaff, Adam, 2005. "Decomposing changes in income inequality into vertical and horizontal redistribution and reranking, withapplications to China and Vietnam," Policy Research Working Paper Series 3559, The World Bank.
    2. Jean-Yves Duclos, 2006. "Equity and Equality," Cahiers de recherche 0629, CIRPEE.
    3. Mitja ÄŒok & Ivica Urban & Miroslav VerbiÄ, 2013. "Income Redistribution through Taxes and Social Benefits: The Case of Slovenia and Croatia," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 60(5), pages 667-686, September.
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    5. Ivica, Urban, 2011. "Duclos-Jalbert-Araar decomposition of redistributive effect: implementation issues," MPRA Paper 28068, University Library of Munich, Germany.
    6. Ivica Urban, 2009. "Kakwani decomposition of redistributive effect: Origins, critics and upgrades," Working Papers 148, ECINEQ, Society for the Study of Economic Inequality.

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    More about this item

    Keywords

    Horizontal inequity; Reranking; Tax equity; Inequality; Canadian tax and transfer system;
    All these keywords.

    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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