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Inequality Decomposition Values: the Trade-Off Between Marginality and Consistency

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Author Info
Chantreuil, F.
Trannoy, A.

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Abstract

A general procedure inspired by the Shapley value is proposed for decompodsing any inequality index by factor components or by populations subgroups. To do so we define two types of inequality games. Although these games cannot be expressed in terms of unanimity games, an axiomatization of the Shapley decomposition is provided in this context by using the Potential function pioneered by HArt and Mas-Colell (89).

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Publisher Info
Paper provided by Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor. in its series Papers with number 99-24.

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Length: 26 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:fth:pnegmi:99-24

Contact details of provider:
Postal: THEMA, Universite de Paris X-Nanterre, U.F.R. de science economiques, gestion, mathematiques et informatique, 200, avenue de la Republique 92001 Nanterre CEDEX.

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Related research
Keywords: SOCIAL WELFARE ; GAME THEORY ; INEQUALITY;

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Find related papers by 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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  1. Jacques Silber & Olivier Giovannoni & Amedeo Spadaro, 2007. "Inequality of Life Chances and the Measurement of Social Immobility," Economics Working Paper Archive wp_513, Levy Economics Institute, The. [Downloadable!]
  2. Martin Fournier, 2001. "Inequality decomposition by factor component : a "rank-correlation" approach illustrated on the Taiwanese case," Recherches économiques de Louvain, De Boeck Université, vol. 67(4), pages 381-403. [Downloadable!]
  3. Martin Biewen & Stephen P. Jenkins, 2002. "Accounting for Poverty Differences between the United States, Great Britain, and Germany," Discussion Papers of DIW Berlin 311, DIW Berlin, German Institute for Economic Research. [Downloadable!]
  4. Stéphane Mussard, 2006. "La décomposition des mesures d’inégalité en sources de revenu : l’indice de Gini et les généralisations," Cahiers de recherche 06-05, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke. [Downloadable!]
  5. virginie terraza & stephane mussard, 2007. "New trading risk indexes: application of the shapley value in finance," Economics Bulletin, Economics Bulletin, vol. 3(25), pages 1-7. [Downloadable!]
  6. Francisco Azpitarte, 2008. "The Household Wealth Distribution in Spain: The Role of Housing and Financial Wealth," Working Papers 83, ECINEQ, Society for the Study of Economic Inequality. [Downloadable!]
  7. Mussard, Stéphane & Philippe, Bernard, 2007. "Une évaluation du rôle des déterminants du partage de la valeur ajoutée," IRISS Working Paper Series 2007-08, IRISS at CEPS/INSTEAD. [Downloadable!]
    Other versions:
  8. Carlo V. Fiorio, 2006. "Understanding Inequality Trends:Microsimulation Decomposition for Italy," STICERD - Distributional Analysis Research Programme Papers 78, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
  9. Stéphane Mussard & Nicolas Peypoch, 2005. "Décomposition par firme et par attribut de la productivité : le cas de l’indice agrégé de Malmquist," Cahiers de recherche 05-10, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke. [Downloadable!]
  10. Martin FOURNIER, 2001. "Inequality decomposition by factor component : a Òrank-correlationÓ approach illustrated on the Taiwanese case," Discussion Papers (REL - Recherches Economiques de Louvain) 2001042, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES). [Downloadable!]
  11. repec:ese:iserwp: is not listed on IDEAS
  12. Stéphane Mussard & Michel Terraza, 2007. "Décompositions des mesures d'inégalité : le cas des coefficients de Gini et d'entropie," Cahiers de recherche 07-09, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke. [Downloadable!]
    Other versions:
  13. André Decoster & Isabelle Standaert & Christian Valenduc & Guy Van Camp, 2000. "What makes Personal Income Taxes progressive? The case of Belgium," Public Economics Working Paper Series ces0008, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics. [Downloadable!]
    Other versions:
  14. Stéphane Mussard & Kuan Xu, 2006. "Multidimensional Decomposition of the Sen Index: Some Further Thoughts," Cahiers de recherche 06-08, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke. [Downloadable!]
  15. Mercedes Sastre & Alain Trannoy, 2002. "Shapley inequality decomposition by factor components: Some methodological issues," Journal of Economics, Springer, vol. 9(1), pages 51-89, December. [Downloadable!] (restricted)
  16. Stéphane Mussard & Virginie Terraza, 2006. "The Shapley decomposition for portfolio risk," Cahiers de recherche 06-09, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke. [Downloadable!]
    Other versions:
  17. Van Kerm, Philippe, 2003. "What Lies Behind Income Mobility? Reranking and Distributional Change in Belgium, Western Germany and the USA," IRISS Working Paper Series 2003-03, IRISS at CEPS/INSTEAD. [Downloadable!]
    Other versions:
  18. Osnat Israeli, 2007. "A Shapley-based decomposition of the R-Square of a linear regression," Journal of Economic Inequality, Springer, vol. 5(2), pages 199-212, August. [Downloadable!] (restricted)
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