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Partial Horizontal Inequity Orderings: A non-parametric Approach
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Partial Horizontal Inequity Orderings: A non-parametric Approach

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Abstract

We provide a partial ordering view of horizontal inequity (henceforth HI), based on the Lorenz criterion, associated with different post-tax income distributions and a (bistochastic) nonparametric estimated benchmark distribution. As a consequence, several measures consistent with the Lorenz criterion can be rationalized. In addition, we establish the so-called horizontal inequity transfer principle, which imposes a normative minimum requirement that any HI measure must satisfy. Our proposed HI ordering is consistent with this principle. Moreover, we adopt a cardinal view to decompose the total effect of a tax system into a welfare gain due to HI-free income redistribution and a welfare loss due to HI, without any additive decomposable restriction on the indices. Hence, more robust tests can be applied. Other decompositions in the literature are seen as particular cases.

Suggested Citation

  • Juan Gabriel Rodríguez & Rafael Salas & Irene Perrote, 2004. "Partial Horizontal Inequity Orderings: A non-parametric Approach," Economic Working Papers at Centro de Estudios Andaluces E2004/01, Centro de Estudios Andaluces.
    • Handle: RePEc:cea:doctra:e2004_01
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    1. repec:bla:obuest:v:63:y:2001:i:3:p:381-94 is not listed on IDEAS
    2. Jenkins, Stephen P., 1988. "Empirical measurement of horizontal inequity," Journal of Public Economics, Elsevier, vol. 37(3), pages 305-329, December.
    3. Xavier Ramos & Peter J Lambert, "undated". "Horizontal Equity and Differences in Income Tax Treatment: A Reconciliation," Discussion Papers 98/24, Department of Economics, University of York.
    4. Coulter, Fiona A E & Cowell, Frank A & Jenkins, Stephen P, 1992. "Differences in Needs and Assessment of Income Distributions," Bulletin of Economic Research, Wiley Blackwell, vol. 44(2), pages 77-124, April.
    5. Peter Lambert & Xavier Ramos, 1997. "Horizontal Inequity and Vertical Redistribution," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 4(1), pages 25-37, January.
    6. Justin Van De Ven & John Creedy & Peter J. Lambert, 2001. "Close Equals and Calculation of the Vertical, Horizontal and Reranking Effects of Taxation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(3), pages 381-394, July.
    7. Feldstein, Martin, 1976. "On the theory of tax reform," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 77-104.
    8. 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.
    9. Mervyn A. King, 1980. "An Index of Inequality: With Applications to Horizontal Equity and Social Mobility," NBER Working Papers 0468, National Bureau of Economic Research, Inc.
    10. Raúl Camarero & Octavio Herrero & Ignacio Zubiri, 1993. "La medición de la inequidad horizontal: teoría y una aplicación al caso de Vizcaya," Investigaciones Economicas, Fundación SEPI, vol. 17(2), pages 333-362, May.
    11. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    12. Jean‐Yves Duclos & Peter J. Lambert, 2000. "A normative and statistical approach to measuring classical horizontal inequity," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 33(1), pages 87-113, February.
    13. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
    14. Jean‐Yves Duclos & Magda Mercader‐Prats, 1999. "Household Needs And Poverty: With Application To Spain And The U.K," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 45(1), pages 77-98, March.
    15. Salas, Rafael, 1998. "Horizontal Inequality and Vertical Redistribution in a Social Welfare Framework," Public Finance = Finances publiques, , vol. 53(2), pages 229-242.
    16. 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.
    17. King, Mervyn A, 1983. "An Index of Inequality: With Applications to Horizontal Equity and Social Mobility," Econometrica, Econometric Society, vol. 51(1), pages 99-115, January.
    18. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    19. 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.
    20. Cowell, Frank A. & Victoria-Feser, Maria-Pia, 1996. "Poverty measurement with contaminated data: A robust approach," European Economic Review, Elsevier, vol. 40(9), pages 1761-1771, December.
    21. Peter Lambert, & Xavier Ramos, 1995. "Vertical redistribution and horizontal inequity," IFS Working Papers W95/01, Institute for Fiscal Studies.
    22. Plotnick, Robert, 1981. "A Measure of Horizontal Inequity," The Review of Economics and Statistics, MIT Press, vol. 63(2), pages 283-288, May.
    23. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    24. Peter Lambert, & Simon C. Parker, 1997. "Testing for horizontal inequity econometrically," IFS Working Papers W97/18, Institute for Fiscal Studies.
    25. Stephen Jenkins & Peter Lambert, "undated". "Horizontal Inequity Measurement: A Basic Reassessment," Discussion Papers 96/21, Department of Economics, University of York.
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    Cited by:

    1. Paul Allanson, 2007. "Classical Horizontal Inequities in the Provision of Agricultural Income Support," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 29(4), pages 656-671.
    2. Juan C Palomino & Gustavo A Marrero & Brian Nolan & Juan G Rodríguez, 2022. "Wealth inequality, intergenerational transfers, and family background [Intergenerational wealth mobility and the role of inheritance: Evidence from multiple generations]," Oxford Economic Papers, Oxford University Press, vol. 74(3), pages 643-670.
    3. Juan Gabriel Rodríguez & Rafael Salas, 2004. "A Bistochastic Nonparametric Estimator," Economic Working Papers at Centro de Estudios Andaluces E2004/22, Centro de Estudios Andaluces.
    4. Paul Allanson, 2008. "On the Characterisation and Measurement of the Redistributive Effect of Agricultural Policy," Journal of Agricultural Economics, Wiley Blackwell, vol. 59(1), pages 169-187, February.
    5. Paul Allanson & Benedetto Rocchi, 2008. "A comparative analysis of the redistributive effects of agricultural policy in Tuscany and Scotland," Review of Agricultural and Environmental Studies - Revue d'Etudes en Agriculture et Environnement, INRA Department of Economics, vol. 86(1), pages 35-56.
    6. Juan C. Palomino & Gustavo A. Marrero & Brian Nolan & Juan G. Rodriguez, 2020. "Wealth inequality, intergenerational transfers and socioeconomic background," Working Papers 537, ECINEQ, Society for the Study of Economic Inequality.
    7. Luis José Imedio Olmedo & Encarnación Macarena Parrado Gallardo & María Dolores Sarrión Gavilán, 2005. "Horizontal equity, equal progression: an utilitarian approach," Hacienda Pública Española / Review of Public Economics, IEF, vol. 174(3), pages 87-115, September.

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    More about this item

    Keywords

    vertical redistribution; horizontal inequity; social welfare; non-parametric estimation.;
    All these keywords.

    JEL classification:

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

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