IDEAS home Printed from https://ideas.repec.org/p/ehl/lserod/25434.html
   My bibliography  Save this paper

The class of absolute decomposable inequality measures

Author

Listed:
  • Bosmans, Kristof
  • Cowell, Frank

Abstract

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

Suggested Citation

  • Bosmans, Kristof & Cowell, Frank, 2009. "The class of absolute decomposable inequality measures," LSE Research Online Documents on Economics 25434, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:25434
    as

    Download full text from publisher

    File URL: http://eprints.lse.ac.uk/25434/
    File Function: Open access version.
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    2. Anthony F. Shorrocks & James E. Foster, 1987. "Transfer Sensitive Inequality Measures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 485-497.
    3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    4. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-1385, November.
    5. Satya Chakravarty & Swami Tyagarupananda, 2009. "The subgroup decomposable intermediate indices of inequality," Spanish Economic Review, Springer;Spanish Economic Association, vol. 11(2), pages 83-97, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Magdalou, Brice & Nock, Richard, 2011. "Income distributions and decomposable divergence measures," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2440-2454.
    3. 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).
    4. 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.
    5. 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.
    6. 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).
    7. 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.
    8. 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.
    9. Ibragimova, Zulfiya & Frants, Marina, 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.
    10. Suman Seth, Sabina Alkire, 2014. "Measuring and Decomposing Inequality among the Multidimensionally Poor Using Ordinal Data: A Counting Approach," OPHI Working Papers 68, Queen Elizabeth House, University of Oxford.
    11. 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.
    12. 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.
    13. 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.
    14. Amarante, Verónica & Colacce, Maira, 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.
    15. Frank A. Cowell & Philippe Kerm, 2015. "Wealth Inequality: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 29(4), pages 671-710, September.
    16. 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.
    17. 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.
    18. 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.
    19. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Henar Diez & Mª Casilda Lasso de la Vega & Ana Marta Urrutia, 2007. "Unit-Consistent Aggregative Multidimensional Inequality Measures: A Characterization," Working Papers 66, ECINEQ, Society for the Study of Economic Inequality.
    2. Teixidó Figueras, Jordi & Duro Moreno, Juan Antonio, 2012. "Ecological Footprint Inequality: A methodological review and some results," Working Papers 2072/203168, Universitat Rovira i Virgili, Department of Economics.
    3. Foster, James E. & Shneyerov, Artyom A., 2000. "Path Independent Inequality Measures," Journal of Economic Theory, Elsevier, vol. 91(2), pages 199-222, April.
    4. 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.
    5. Mornet, Pauline & Zoli, Claudio & Mussard, Stéphane & Sadefo-Kamdem, Jules & Seyte, Françoise & Terraza, Michel, 2013. "The (α, β)-multi-level α-Gini decomposition with an illustration to income inequality in France in 2005," Economic Modelling, Elsevier, vol. 35(C), pages 944-963.
    6. 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.
    7. Berliant, Marcus & Strauss, Robert P., 2008. "Distributional analysis of prospective 2009 US individual income taxes: current law and the candidates’ tax plans," MPRA Paper 11221, University Library of Munich, Germany.
    8. 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.
    9. Jordi Teixidó-Figueras & Juan Duro, 2015. "International Ecological Footprint Inequality: A Methodological Review and Some Results," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 60(4), pages 607-631, April.
    10. Stephen Bazen & Patrick Moyes, 2012. "Elitism and stochastic dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 207-251, June.
    11. Miguel Niño‐Zarazúa & Laurence Roope & Finn Tarp, 2017. "Global Inequality: Relatively Lower, Absolutely Higher," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(4), pages 661-684, December.
    12. Rolf Aaberge & Magne Mogstad, 2011. "Robust inequality comparisons," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(3), pages 353-371, September.
    13. Coral Río & Olga Alonso-Villar, 2010. "New unit-consistent intermediate inequality indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 505-521, March.
    14. Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
    15. Davies, James B. & Hoy, Michael, 2002. "Flat rate taxes and inequality measurement," Journal of Public Economics, Elsevier, vol. 84(1), pages 33-46, April.
    16. Cockburn, John & Duclos, Jean-Yves & Zabsonré, Agnès, 2014. "Is global social welfare increasing? A critical-level enquiry," Journal of Public Economics, Elsevier, vol. 118(C), pages 151-162.
    17. W. Henry Chiu, 2021. "Intersecting Lorenz curves and aversion to inverse downside inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(3), pages 487-508, April.
    18. Buhong Zheng, 2011. "A new approach to measure socioeconomic inequality in health," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 555-577, December.
    19. Indraneel Dasgupta & Ravi Kanbur, 2011. "Does philanthropy reduce inequality?," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(1), pages 1-21, March.
    20. Satya Chakravarty & Swami Tyagarupananda, 2009. "The subgroup decomposable intermediate indices of inequality," Spanish Economic Review, Springer;Spanish Economic Association, vol. 11(2), pages 83-97, June.

    More about this item

    JEL classification:

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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ehl:lserod:25434. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: LSERO Manager (email available below). General contact details of provider: https://edirc.repec.org/data/lsepsuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.