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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.science/hal-01594025
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    References listed on IDEAS

    as
    1. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-1385, November.
    2. Shorrocks, A F, 1982. "Inequality Decomposition by Factor Components," Econometrica, Econometric Society, vol. 50(1), pages 193-211, January.
    3. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    4. Martin Shubik, 1962. "Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing," Management Science, INFORMS, vol. 8(3), pages 325-343, April.
    5. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    VALEUR DE SHAPLEY; inégalité; sciences économiques;
    All these keywords.

    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

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