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Welfare, inequality and the transformation of incomes the case of weighted income distributions

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  • Udo Ebert
  • Patrick Moyes

Abstract

The paper extends previous results on welfare and inequality comparisons when incomes are weighted and the weights are not necessarily equal across the statistical units. A flexible approach to inequality measurement is allowed which admits as particular cases the relative and absolute views. We next identify the individualistic and symmetric transformations that generate and preserve the welfare and inequality rankings of income distributions. The former results fill a gap between the theoretical analysis and the practical measurement of welfare and inequality, while the latter results provide insights for the analysis of redistributive policies. Copyright Springer-Verlag 2002
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Suggested Citation

  • Udo Ebert & Patrick Moyes, 2002. "Welfare, inequality and the transformation of incomes the case of weighted income distributions," Journal of Economics, Springer, vol. 9(1), pages 9-50, December.
  • Handle: RePEc:kap:jeczfn:v:9:y:2002:i:1:p:9-50
    DOI: 10.1007/BF03052499
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    References listed on IDEAS

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    1. Moyes, Patrick, 1987. "A new concept of Lorenz domination," Economics Letters, Elsevier, vol. 23(2), pages 203-207.
    2. Udo Ebert & Patrick Moyes, 2000. "Adjusting Incomes for Needs: Can One Avoid Equivalence Scales?," Econometric Society World Congress 2000 Contributed Papers 0917, Econometric Society.
    3. Bossert, Walter & Pfingsten, Andreas, 1990. "Intermediate inequality: concepts, indices, and welfare implications," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 117-134, April.
    4. 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.
    5. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    6. Amiel, Yoram & Cowell, Frank A., 1992. "Measurement of income inequality : Experimental test by questionnaire," Journal of Public Economics, Elsevier, vol. 47(1), pages 3-26, February.
    7. Coral del RÎo & Javier Ruiz-Castillo, 2000. "Intermediate inequality and welfare," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(2), pages 223-239.
    8. Besley, Timothy J & Preston, I P, 1988. "Invariance and the Axiomatics of Income Tax Progression: A Comment," Bulletin of Economic Research, Wiley Blackwell, vol. 40(2), pages 159-163, April.
    9. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    10. Harrison, Elizabeth & Seidl, Christian, 1994. "Perceptional Inequality and Preferential Judgements: An Empirical Examination of Distributional Axioms," Public Choice, Springer, vol. 79(1-2), pages 61-81, April.
    11. Moyes Patrick, 1994. "Inequality Reducing and Inequality Preserving Transformations of Incomes: Symmetric and Individualistic Transformations," Journal of Economic Theory, Elsevier, vol. 63(2), pages 271-298, August.
    12. Udo Ebert, 1999. "Using equivalent income of equivalent adults to rank income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 233-258.
    13. Moyes, Patrick, 1992. "The through-time redistributive effect of income taxation : The intermediate inequality view," Mathematical Social Sciences, Elsevier, vol. 24(1), pages 59-71, August.
    14. 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.
    15. Jakobsson, Ulf, 1976. "On the measurement of the degree of progression," Journal of Public Economics, Elsevier, vol. 5(1-2), pages 161-168.
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    Citations

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    Cited by:

    1. Alain Chateauneuf & Patrick Moyes, 2005. "Lorenz non-consistent welfare and inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 61-87, January.
    2. 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.
    3. Chateauneuf, Alain & Moyes, Patrick, 2005. "Measuring Inequality Without the Pigou-Dalton Condition," WIDER Working Paper Series 002, World Institute for Development Economic Research (UNU-WIDER).
    4. Claudio Zoli, 2017. "A note on progressive taxation and inequality equivalence," Working Papers 19/2017, University of Verona, Department of Economics.

    More about this item

    Keywords

    Weighted Income Distributions; Inequality and Welfare Comparisons; Income Transformation; D31; D63; H24;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies

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