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On a Class of Inequality Measures

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Distributive Justice and Inequality
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Abstract

The parametric class of inequality measures examined in what follows contains, as extreme special cases, the inequality measures that are homogeneous of degree zero (concept of relative inequality) and those that leave inequality unchanged when all incomes, say, are increased by the same amount (concept of absolute inequality). The intermediate concepts studied here have the property that multiples of convex combinations of proportional and absolute changes (in all incomes) leave inequality unchanged.

The author is indebted to Janos Aczél, James Foster, Andreas Pfingsten, Anthony Shorrocks, and Peter Volkmann who provided helpful comments.

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References

  • Dalton H (1920) The measurement of the inequality of incomes. Econ J 30:348–361

    Article  Google Scholar 

  • Fields GS, Fei JCH (1978) On inequality comparisons. Econometrica 46:303–316

    Article  Google Scholar 

  • Kolm SC (1976) Unequal inequalities. I. J Econ Theory 12:416–442

    Article  Google Scholar 

  • Marhsall AW, Olkin I (1979) Inequalities: Theory of majorization and its applications. Academic Press, New York

    Google Scholar 

  • Pfingsten A (1986a) Distributionally-neutral tax changes for different inequality concepts. J Publ Econ 30:385–393

    Article  Google Scholar 

  • Pfingsten A (1986b) The measurement of tax progression. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Pfingsten A (1987) Progressive taxation and redistributive taxation: different labels for the same product? Discussion Paper 287 (October 1986), Karlsruhe

    Google Scholar 

  • Rothschild M, Stiglitz JE (1973) Some further results on the measurement of inequality. J Econ Theory 6:188–204

    Article  Google Scholar 

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© 1988 Springer-Verlag Berlin Heidelberg

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Eichhorn, W. (1988). On a Class of Inequality Measures. In: Gaertner, W., Pattanaik, P.K. (eds) Distributive Justice and Inequality. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73816-6_5

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  • DOI: https://doi.org/10.1007/978-3-642-73816-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-73818-0

  • Online ISBN: 978-3-642-73816-6

  • eBook Packages: Springer Book Archive

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