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Horizontal equity, equal progression: an utilitarian approach

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  • Luis José Imedio Olmedo

    ()
    (Universidad de Málaga)

  • Encarnación Macarena Parrado Gallardo

    (Universidad de Málaga)

  • María Dolores Sarrión Gavilán

    (Universidad de Málaga)

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    Abstract

    We consider an heterogeneous population in which we make a partition into two groups that are homogeneous with respect to the characteristics, other than the income, with fiscal incidence. The differences between both groups are taken into account by means of a profile of utility functions and the fiscal system is constituted by two tax schedules, one for each group. In this context, taking as equal those tax payers with the same level of utility, we define a scale of equivalence and we give several definitions of the horizontal equity principle. We characterize the fiscal systems which satisfy it in terms of utility loss, it allows us the incorporation of the equal sacrifice principle to the analysis. Furthermore, we obtain the conditions under which the equal face the same degree of progression. Finally, we particularize our results to the case of isoelastic utility functions.

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    Bibliographic Info

    Article provided by IEF in its journal Hacienda Pública Española/Revista de Economía Pública.

    Volume (Year): 174 (2005)
    Issue (Month): 3 (September)
    Pages: 87-115

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    Handle: RePEc:hpe:journl:y:2005:v:174:i:3:p:87-115

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    Related research

    Keywords: equal sacrifice; isoelastic utility functions and equivalence scales; heterogeneous populations.;

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    References

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    1. Jakobsson, Ulf, 1976. "On the measurement of the degree of progression," Journal of Public Economics, Elsevier, vol. 5(1-2), pages 161-168.
    2. Ok, Efe A. & Lambert, Peter J., 1999. "On evaluating social welfare by sequential generalized Lorenz dominance," Economics Letters, Elsevier, vol. 63(1), pages 45-53, April.
    3. Udo Ebert & Peter J. Lambert, 2004. "Horizontal Equity and Progression When Equivalence Scales Are Not Constant," Public Finance Review, , vol. 32(4), pages 426-440, July.
    4. Donaldson, D. & Pendakur, K., 1999. "Equivalent-Income Functions and Income-Dependent Equivalence Scales," Discussion Papers dp99-8, Department of Economics, Simon Fraser University.
    5. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    6. Young, H Peyton, 1990. "Progressive Taxation and Equal Sacrifice," American Economic Review, American Economic Association, vol. 80(1), pages 253-66, March.
    7. Fellman, J, 1976. "The Effect of Transformations on Lorenz Curves," Econometrica, Econometric Society, vol. 44(4), pages 823-24, July.
    8. Ebert, Udo & Moyes, Patrick, 2000. "Consistent Income Tax Structures When Households Are Heterogeneous," Journal of Economic Theory, Elsevier, vol. 90(1), pages 116-150, January.
    9. D'Antoni, Massimo, 1999. "Piecewise linear tax functions, progressivity, and the principle of equal sacrifice," Economics Letters, Elsevier, vol. 65(2), pages 191-197, November.
    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. Udo Ebert, 2000. "Equivalizing Incomes: A Normative Approach," International Tax and Public Finance, Springer, vol. 7(6), pages 619-640, December.
    12. Bourguignon, François, 1993. "Individus, familles et bien-être social," L'Actualité Economique, Société Canadienne de Science Economique, vol. 69(4), pages 243-258, décembre.
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    14. Anthony Shorrocks, 2004. "Inequality and welfare evaluation of heterogeneous income distributions," Journal of Economic Inequality, Springer, vol. 2(3), pages 193-218, July.
    15. 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.
    16. 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.
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    18. 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.
    19. Juan Gabriel Rodríguez & Rafael Salas & Irene Perrote, 2005. "Partial Horizontal Inequity Orderings: A Non-parametric Approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(3), pages 347-368, 06.
    20. Luis J. Imedio-Olmedo & Encarnación Macarena Parrado-Gallardo & M.Dolores. Sarrión, 1999. "La tarifa del IRPF y el principio de igualdad de sacrificio," Investigaciones Economicas, Fundación SEPI, vol. 23(2), pages 281-299, May.
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    22. Plotnick, Robert, 1981. "A Measure of Horizontal Inequity," The Review of Economics and Statistics, MIT Press, vol. 63(2), pages 283-88, May.
    23. Lambert, P & Ramos, X, 1995. "Vertical redistribution and horizontal inequity," IFS Working Papers W95/01, Institute for Fiscal Studies.
    24. Luis J. Imedio Olmedo & Encarnación M. Parrado Gallardo & Maria Dolores Sarrión Gavilán, 2003. "Códigos impositivos lineales. Su efecto sobre poblaciones heterogéneas," Hacienda Pública Española, IEF, vol. 167(4), pages 57-85, December.
    25. 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.
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