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A note on the normative content of the Atkinson inequality aversion parameter

Author

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  • Marc Dubois

    (MRE - Montpellier Recherche en Economie - UM - Université de Montpellier, UM - Université de Montpellier)

Abstract

The aim of the note is to parametrize necessary and sufficient conditions for the Atkinson social welfare functions to satisfy proportional transfer principles. These social welfare functions satisfy the proportional ex post transfer principle if, and only if, the inequality aversion parameter is no smaller than 1. Moreover, these social welfare functions satisfy the proportional transfer principle if, and only if, the inequality aversion parameter is greater than 2. The results are illustrated with French data.

Suggested Citation

  • Marc Dubois, 2016. "A note on the normative content of the Atkinson inequality aversion parameter," Post-Print hal-01837118, HAL.
    • Handle: RePEc:hal:journl:hal-01837118
    Note: View the original document on HAL open archive server: https://hal.umontpellier.fr/hal-01837118v1
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    File URL: https://hal.umontpellier.fr/hal-01837118v1/document
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    References listed on IDEAS

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    1. Kevin W. S. Roberts, 1980. "Interpersonal Comparability and Social Choice Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 421-439.
    2. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    4. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    5. Fleurbaey, Marc & Michel, Philippe, 2001. "Transfer principles and inequality aversion, with an application to optimal growth," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 1-11, July.
    6. Blackorby, Charles & Donaldson, David, 1982. "Ratio-Scale and Translation-Scale Full Interpersonal Comparability without Domain Restrictions: Admissible Social-Evaluation Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 249-268, June.
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    Cited by:

    1. Marc Dubois, 2019. "Unnested Aversion to s-th Degree Inequality," Economics Bulletin, AccessEcon, vol. 39(4), pages 2374-2380.
    2. Marc Fleurbaey & Eduardo Zambrano, 2024. "Protected Income and Inequality Aversion," Papers 2408.04814, arXiv.org, revised Feb 2025.

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