Weighted Constrained Egalitarianism in TU-Games

Mathematical Social Sciences, Vol. 43, No. 2, pp. 251-265, 2002

Posted: 23 Jan 2008

See all articles by Maurice Koster

Maurice Koster

Amsterdam School of Economics, University of Amsterdam

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Abstract

The constrained egalitarian solution of Dutta and Ray (1989) for TU-games is extended to asymmetric cases, using the notion of weight systems as in Kalai and Samet (1987, 1988). This weighted constrained egalitarian solution is based on the weighted Lorenz-criterion as an inequality measure. It is shown that in general there is at most one such weighted egalitarian solution for TU-games. Existence is proved for the class of convex games. Furthermore, the core of a positive valued convex game is covered by weighted constrained egalitarian solutions.

JEL Classification: A13, C71, D31, D63

Suggested Citation

Koster, Maurice, Weighted Constrained Egalitarianism in TU-Games. Mathematical Social Sciences, Vol. 43, No. 2, pp. 251-265, 2002 , Available at SSRN: https://ssrn.com/abstract=873861

Maurice Koster (Contact Author)

Amsterdam School of Economics, University of Amsterdam ( email )

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