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The (α, β)-multi-level α-Gini decomposition with an illustration to income inequality in France in 2005

Author

Listed:
  • Pauline Mornet

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

  • Claudio Zoli

    (UNIVR - Università degli studi di Verona = University of Verona)

  • Stéphane Mussard

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

  • Jules Sadefo-Kamdem

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

  • Françoise Seyte

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

  • Michel Terraza

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

Abstract

We propose a generalization of the decomposition by population subgroups of the α-Gini index, the so-called multi-level subgroup decomposition. We demonstrate that all components obtained from the decomposition, can integrate in their functional form a parameter of inequality sensitivity being either related to overall inequalities (α) or to between-group non-overlappings (β). We prove that a decision maker who behaves in accordance with the α-Gini indices is sensitive to the inequalities between the groups when this sensitivity may differ for each partition of groups. For that purpose, we check the axiomatic foundations of this new family of measures providing also a characterization for the α-Gini indices where α > 2. An illustration of the multi-level α-Gini decomposition is performed for the analysis of the income disparities in France in 2005.

Suggested Citation

  • Pauline Mornet & Claudio Zoli & Stéphane Mussard & Jules Sadefo-Kamdem & Françoise Seyte & Michel Terraza, 2013. "The (α, β)-multi-level α-Gini decomposition with an illustration to income inequality in France in 2005," Post-Print hal-02901811, HAL.
    • Handle: RePEc:hal:journl:hal-02901811
    DOI: 10.1016/j.econmod.2013.06.016
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    Cited by:

    1. Mauro Mussini, 2017. "Decomposing Changes in Inequality and Welfare Between EU Regions: The Roles of Population Change, Re-Ranking and Income Growth," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 130(2), pages 455-478, January.
    2. Christian Ahlin & Hyeok Jeong, 2021. "A conditional Gini: measure, estimation, and application," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 19(2), pages 363-384, June.
    3. Stéphane Mussard & Pauline Mornet, 2019. "A Note on α‐Gini Measures," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 65(3), pages 675-682, September.
    4. Sun, Chuanwang & Zhang, Yifan & Peng, Shuijun & Zhang, Wencheng, 2015. "The inequalities of public utility products in China: From the perspective of the Atkinson index," Renewable and Sustainable Energy Reviews, Elsevier, vol. 51(C), pages 751-760.
    5. M. Costa, 2019. "The evaluation of gender income inequality by means of the Gini index decomposition," Working Papers wp1130, Dipartimento Scienze Economiche, Universita' di Bologna.
    6. Makdissi, Paul & Sylla, Daouda & Yazbeck, Myra, 2013. "Decomposing health achievement and socioeconomic health inequalities in presence of multiple categorical information," Economic Modelling, Elsevier, vol. 35(C), pages 964-968.

    More about this item

    Keywords

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    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D69 - Microeconomics - - Welfare Economics - - - Other

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