IDEAS home Printed from https://ideas.repec.org/p/cea/doctra/e2004_01.html
   My bibliography  Save this paper

Partial Horizontal Inequity Orderings: A non-parametric Approach

Author

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
    as

    Download full text from publisher

    File URL: http://public.centrodeestudiosandaluces.es/pdfs/E200401.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Jenkins, Stephen P., 1988. "Empirical measurement of horizontal inequity," Journal of Public Economics, Elsevier, vol. 37(3), pages 305-329, December.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Peter Lambert, & Xavier Ramos, 1995. "Vertical redistribution and horizontal inequity," IFS Working Papers W95/01, Institute for Fiscal Studies.
    8. Plotnick, Robert, 1981. "A Measure of Horizontal Inequity," The Review of Economics and Statistics, MIT Press, vol. 63(2), pages 283-288, May.
    9. 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.
    10. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    11. Peter Lambert, & Simon C. Parker, 1997. "Testing for horizontal inequity econometrically," IFS Working Papers W97/18, Institute for Fiscal Studies.
    12. Stephen Jenkins & Peter Lambert, "undated". "Horizontal Inequity Measurement: A Basic Reassessment," Discussion Papers 96/21, Department of Economics, University of York.
    13. 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.
    14. 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.
    15. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. 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.
    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. Luis José Imedio Olmedo & Encarnación Macarena Parrado Gallardo & María Dolores Sarrión Gavilán, 2005. "Horizontal equity, equal progression: an utilitarian approach," Hacienda Pública Española, IEF, vol. 174(3), pages 87-115, September.
    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.

    More about this item

    Keywords

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

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cea:doctra:e2004_01. 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: (Susana Mérida). General contact details of provider: http://edirc.repec.org/data/fcanges.html .

    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 CitEc recognized a reference but did not link an item in RePEc 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 RePEc Author Service 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.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.