Inequality Decomposition Values: the Trade-Off Between Marginality and Consistency
AbstractA 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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Bibliographic InfoPaper provided by Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor. in its series Papers with number 99-24.
Length: 26 pages
Date of creation: 1999
Date of revision:
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.
SOCIAL WELFARE ; GAME THEORY ; INEQUALITY;
Other versions of this item:
- F. Chantreuil & A. Trannoy, 1999. "Inequality decomposition values : the trade-off between marginality and consistency," THEMA Working Papers 99-24, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- 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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