IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-01594025.html
   My bibliography  Save this paper

Inequality decomposition values : the trade-off between marginality and consistency

Author

Listed:
  • Frederic Chantreuil

    () (Unité d'économie et sociologie rurales de rennes - INRA - Institut National de la Recherche Agronomique)

  • Alain Trannoy

    (CNRS - Centre National de la Recherche Scientifique)

Abstract

Une procédure générale inspirée par la valeur de Shapley est proposée pour décomposer n'importe quel indice d'inégalité par sources de revenu ou sous-groupes de population. Deux types de jeux d'inégalité sont ainsi définis. Bien que ces jeux ne puissent pas être exprimés en termes de jeux d'unanimité, une axiomatisation de la décomposition de Shapley est fournie dans ce contexte en utilisant la fonction "potentiel" mise en avant par Hart et Mas-Colell (1989). Ce résultat est utilisé pour illustrer le conflit entre les propriétés de cohérence et de marginalité. Une comparaison avec la méthode proposée par Shorrocks (1982) est offerte pour le cas de la décomposition par sources de revenu. Un raffinement de la décomposition de Shapley est introduit lorsque l'ensemble des sources a une structure emboîtée. Une application à la décomposition par sous-groupes de population est également discutée.

Suggested Citation

  • Frederic Chantreuil & Alain Trannoy, 1999. "Inequality decomposition values : the trade-off between marginality and consistency," Working Papers hal-01594025, HAL.
  • Handle: RePEc:hal:wpaper:hal-01594025
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-01594025
    as

    Download full text from publisher

    File URL: https://hal.archives-ouvertes.fr/hal-01594025/document
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    2. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-1385, November.
    3. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    VALEUR DE SHAPLEY; inégalité; sciences économiques;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

    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:hal:wpaper:hal-01594025. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.