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Inequality of Living Standards and Isoelastic Equivalence Scales

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Listed:
  • Udo EBERT
  • Patrick MOYES

Abstract

Comparisons of well-being across heterogenous households necessitate that households\' incomes are adjusted for differences in size and composition: equivalence scales arecommonly used to achieve this objective.Equivalence scales with constant elasticity with respect to family size have been argued to provide a good approximation to a large variety of scales (see, e.g., B. Buhmann, L. Rainwater, G. Schmaus, and T.M. Smeeding, Review of Income and Wealth (1988), 115--142) and they therefore play a prominent role in empirical work. Focusing on inequality of well-being, we first show that, if one requires that the index of inequality is -- in addition to standard properties – invariant to modifications of the relative (marginal) distributions of needs and income across households, then the equivalence scales must be isoelastic. In addition, if all households\' members have the same preferences and if households maximise the sum of their members\' utilities, then the only preferences consistent with isoelastic scales are of the Cobb-Douglas type.

Suggested Citation

  • Udo EBERT & Patrick MOYES, 2016. "Inequality of Living Standards and Isoelastic Equivalence Scales," Cahiers du GREThA (2007-2019) 2016-27, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    • Handle: RePEc:grt:wpegrt:2016-27
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    File URL: http://cahiersdugretha.u-bordeaux.fr/2016/2016-27.pdf
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    References listed on IDEAS

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    Cited by:

    1. Udo Ebert & Patrick Moyes, 2017. "Inequality and isoelastic equivalence scales: restrictions and implications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 295-326, February.

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    More about this item

    Keywords

    Inequality of well-being; Household size; Equivalence scales; Constant elasticity; Cobb-Douglas preferences.;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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