IDEAS home Printed from https://ideas.repec.org/p/fit/wpaper/30.html

Subgroup Decomposition of the Gini Coefficient: A New Solution to an Old Problem

Author

Listed:
  • Vesa-Matti Heikkuri

    (Tampere University)

  • Matthias Schief

    (Economics Department, OECD)

Abstract

We derive a novel decomposition of the Gini coefficient into within and between group inequality terms that sum to the aggregate Gini coefficient. This decomposition is derived from a set of axioms that ensure desirable behavior for the within and between-group inequality terms. The decomposition of the Gini coefficient is unique given our axioms, easy to compute, and can be interpreted geometrically.

Suggested Citation

  • Vesa-Matti Heikkuri & Matthias Schief, 2024. "Subgroup Decomposition of the Gini Coefficient: A New Solution to an Old Problem," Working Papers 30, Finnish Centre of Excellence in Tax Systems Research.
  • Handle: RePEc:fit:wpaper:30
    as

    Download full text from publisher

    File URL: https://verotutkimus.fi/verotutkimus/wp-content/uploads/2024/12/FIT-WP-30-Heikkuri-Schief-Gini-Decomposition-2.pdf
    File Function: First version, 2024
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-685, November.
    Full references (including those not matched with items on IDEAS)

    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. Tugce, Cuhadaroglu, 2013. "My Group Beats Your Group: Evaluating Non-Income Inequalities," SIRE Discussion Papers 2013-49, Scottish Institute for Research in Economics (SIRE).
    2. Satya R. Chakravarty & Pietro Muliere, 2003. "Welfare indicators: A review and new perspectives. 1. Measurement of inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 457-497.
    3. Walter Briec & Marc Dubois & Stéphane Mussard, 2019. "Technical Efficiency in Firm Games with Constant Returns to Scale and α-Returns to Scale," Working Papers hal-02344310, HAL.
    4. Golan, Amos & Perloff, Jeffrey M. & Wu, Ximing, 2001. "Welfare Effects of Minimum Wage and Other Government Policies," Institute for Research on Labor and Employment, Working Paper Series qt36r7v1cr, Institute of Industrial Relations, UC Berkeley.
    5. Jean-Yves Duclos & Peter Lambert, "undated". "A Normative Approach to Measuring Classical Horizontal Inequity," Discussion Papers 97/3, Department of Economics, University of York.
    6. Mussard, Stéphane & Pi Alperin, María Noel, 2021. "Accounting for risk factors on health outcomes: The case of Luxembourg," European Journal of Operational Research, Elsevier, vol. 291(3), pages 1180-1197.
    7. Mª Casilda Lasso de la Vega & Ana Marta Urrutia, 2003. "A new factorial decomposition for the atkinson measure," Economics Bulletin, AccessEcon, vol. 4(29), pages 1-12.
    8. Ruiz-Castillo, Javier & Vargas, Carmen, 1996. "A social welfare model for the evaluation of the spanish income tax system," UC3M Working papers. Economics 4100, Universidad Carlos III de Madrid. Departamento de Economía.
    9. Javier Ruiz‐Castillo, 1998. "A Simplified Model For Social Welfare Analysis: An Application To Spain, 1973–74 To 1980–81," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 44(1), pages 123-141, March.
    10. Frank Cowell & Emmanuel Flachaire, 2021. "Inequality Measurement: Methods and Data," Post-Print hal-03589066, HAL.
    11. Satya Chakravarty, 2001. "The Variance as a subgroup decomposable measure of inequality," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 53(1), pages 79-95, January.
    12. Ruiz-Castillo, Javier, 1994. "A complete model for welfare analysis," UC3M Working papers. Economics 2907, Universidad Carlos III de Madrid. Departamento de Economía.
    13. Magdalou, Brice & Nock, Richard, 2011. "Income distributions and decomposable divergence measures," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2440-2454.
    14. Ballano, Carlos & Ruiz-Castillo, Javier, 1992. "Searching by questionaire for the meaning of income inequality," UC3M Working papers. Economics 2889, Universidad Carlos III de Madrid. Departamento de Economía.
    15. Paolo Li Donni & Vito Peragine & Giuseppe Pignataro, 2014. "Ex‐Ante And Ex‐Post Measurement Of Equality Of Opportunity In Health: A Normative Decomposition," Health Economics, John Wiley & Sons, Ltd., vol. 23(2), pages 182-198, February.
    16. Javier Ruiz-Castillo, 1995. "Income distribution and social welfare: a review essay," Investigaciones Economicas, Fundación SEPI, vol. 19(1), pages 3-34, January.
    17. MUSSARD Stéphane & PI ALPERIN Maria Noel, 2016. "A Two-parameter Family of Socio-economic Health Inequality Indices: Accounting for Risk and Inequality Aversions," LISER Working Paper Series 2016-15, Luxembourg Institute of Socio-Economic Research (LISER).
    18. John E. Ataguba & Hyacinth E. Ichoku & Chijioke O. Nwosu & James Akazili, 2020. "An Alternative Approach to Decomposing the Redistributive Effect of Health Financing Between and Within Groups Using the Gini Index: The Case of Out-of-Pocket Payments in Nigeria," Applied Health Economics and Health Policy, Springer, vol. 18(6), pages 747-757, December.
    19. Francisco J. Goerlich-Gisbert & Casilda Lasso de la Vega & Ana Marta Urrutia, 2009. "The ‘extended’ Atkinson family and changes in the expenditure distribution. Spain 1973/74-2003," Journal of Income Distribution, Ad libros publications inc., vol. 18(1), pages 20-41, March.
    20. F. A. Cowell, 1985. "‘A Fair Suck of the Sauce Bottle’ or What Do You Mean by Inequality?," The Economic Record, The Economic Society of Australia, vol. 61(2), pages 567-579, June.

    More about this item

    Keywords

    ;

    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:fit:wpaper:30. 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: Marjukka Hourunranta (email available below). General contact details of provider: https://edirc.repec.org/data/fitsrfi.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.