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The Class of Absolute Decomposable Inequality Measures

Author

Listed:
  • Kristof Bosmans
  • Frank A Cowell

Abstract

We provide a parsimonious axiomatisation of the complete class of absolute nequalityindices. Our approach uses only a weak form of decomposability and does not require a priori that the measures be differentiable.

Suggested Citation

  • Kristof Bosmans & Frank A Cowell, 2009. "The Class of Absolute Decomposable Inequality Measures," STICERD - Distributional Analysis Research Programme Papers 099, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    • Handle: RePEc:cep:stidar:099
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    Cited by:

    1. Kaplan, Ethan & Spenkuch, Jörg L. & Sullivan, Rebecca, 2022. "Partisan spatial sorting in the United States: A theoretical and empirical overview," Journal of Public Economics, Elsevier, vol. 211(C).
    2. Meya, Jasper N. & Drupp, Moritz A. & Hanley, Nick, 2021. "Testing structural benefit transfer: The role of income inequality," Resource and Energy Economics, Elsevier, vol. 64(C).
    3. Brice Magdalou, 2018. "Income inequality measurement: a fresh look at two old issues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(3), pages 415-435, October.
    4. Niaz Asadullah & Alain Trannoy & Sandy Tubeuf & Gaston Yalonetzky, 2018. "Fair and unfair educational inequality in a developing country: The role of pupil’s effort," Working Papers 474, ECINEQ, Society for the Study of Economic Inequality.
    5. Zulfiya Ibragimova & Marina Frants, 2021. "Measuring income opportunity inequality: A structural review and meta-analysis," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 61, pages 89-109.
    6. Satya R. Chakravarty & Nachiketa Chattopadhyay & Conchita D'Ambrosio, 2016. "On a Family of Achievement and Shortfall Inequality Indices," Health Economics, John Wiley & Sons, Ltd., vol. 25(12), pages 1503-1513, December.
    7. Asadullah, M. Niaz & Trannoy, Alain & Tubeuf, Sandy & Yalonetzky, Gaston, 2021. "Measuring educational inequality of opportunity: pupil’s effort matters," World Development, Elsevier, vol. 138(C).
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    9. Thomas Goda & Alejandro Torres García, 2017. "The Rising Tide of Absolute Global Income Inequality During 1850–2010: Is It Driven by Inequality Within or Between Countries?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 130(3), pages 1051-1072, February.
    10. Magdalou, Brice & Nock, Richard, 2011. "Income distributions and decomposable divergence measures," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2440-2454.
    11. Frank A. Cowell & Philippe Kerm, 2015. "Wealth Inequality: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 29(4), pages 671-710, September.
    12. Joep Burger & Jacqueline Beuningen, 2020. "Measuring well-being dispersion on discrete rating scales," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(3), pages 749-773, June.
    13. Casilda Lasso de la Vega & Oscar Volij, 2020. "The Measurement Of Income Segregation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(4), pages 1479-1500, November.
    14. Leoneti, A.B. & Prataviera, G.A., 2020. "Entropy-norm space for geometric selection of strict Nash equilibria in n-person games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).
    15. Rüb, Daniel, 2024. "Inequality beyond income quantiles: Distributional effects of climate mitigation policies," Ecological Economics, Elsevier, vol. 216(C).
    16. Buhong Zheng, 2021. "Stochastic dominance and decomposable measures of inequality and poverty," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 228-247, April.
    17. Frank A. Cowell & Emmanuel Flachaire, 2025. "Mobility and Mobility Measures," Papers 2502.19608, arXiv.org.
    18. Cummins, Neil, 2024. "Ethnic wealth inequality in England and Wales, 1858–2018," Explorations in Economic History, Elsevier, vol. 94(C).
    19. Lasso de la Vega, Casilda & Aristondo, Oihana, 2012. "Proposing indicators to measure achievement and shortfall inequality consistently," Journal of Health Economics, Elsevier, vol. 31(4), pages 578-583.
    20. Schlör, Holger & Fischer, Wolfgang & Hake, Jürgen-Friedrich, 2012. "Measuring social welfare, energy and inequality in Germany," Applied Energy, Elsevier, vol. 97(C), pages 135-142.
    21. Colacce, Maira & Amarante, Verónica, 2018. "More unequal or less? A review of global, regional and national income inequality," Revista CEPAL, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), April.
    22. Pedro Gerber Machado & Julia Tomei & Adam Hawkes & Celma de Oliveira Ribeiro, 2020. "A Simulator to Determine the Evolution of Disparities in Food Consumption between Socio-Economic Groups: A Brazilian Case Study," Sustainability, MDPI, vol. 12(15), pages 1-24, July.

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    Keywords

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    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

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