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Reducing Inequalities among Unequals

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  • Mathieu Faure

    (AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Nicolas Gravel

    (CSH - Centre de sciences humaines de New Delhi - MEAE - Ministère de l'Europe et des Affaires étrangères - CNRS - Centre National de la Recherche Scientifique, AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

This article establishes an equivalence between four incomplete rankings of distributions of income among agents who are vertically differentiated with respect to some nonincome characteristic (health, household size, etc.). The first ranking is the possibility of going from one distribution to the other by a finite sequence of income transfers from richer and more highly ranked agents to poorer and less highly ranked ones. The second ranking is the unanimity among utilitarian planners who assume that agents' marginal utility of income is decreasing with respect to both income and the source of vertical differentiation. The third ranking is the Bourguignon (Journal of Econometrics, 42 (1989), 67–80) Ordered Poverty Gap dominance criterion. The fourth ranking is a new dominance criterion based on cumulative lowest incomes.

Suggested Citation

  • Mathieu Faure & Nicolas Gravel, 2021. "Reducing Inequalities among Unequals," Post-Print hal-03002498, HAL.
    • Handle: RePEc:hal:journl:hal-03002498
    DOI: 10.1111/iere.12490
    Note: View the original document on HAL open archive server: https://amu.hal.science/hal-03002498v1
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    Cited by:

    1. Giefer, Madeline M. & An, Li, 2022. "Divergent impacts of the grain to green program, landholdings, and demographic factors on livelihood diversification in rural China," World Development, Elsevier, vol. 156(C).
    2. Ricardo Martínez & Juan D. Moreno‐Ternero, 2024. "Redistribution with needs," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(1), February.
    3. Tom Gargani, 2025. "Hammond Transfers and Ordinal Inequality Measurement," AMSE Working Papers 2509, Aix-Marseille School of Economics, France.
    4. Mohamad A. Khaled & Paul Makdissi & Myra Yazbeck, 2023. "On absolute socioeconomic health inequality comparisons," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 24(1), pages 5-25, February.
    5. Oliver Grothe & Fabian Kächele & Friedrich Schmid, 2022. "A multivariate extension of the Lorenz curve based on copulas and a related multivariate Gini coefficient," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(3), pages 727-748, September.

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