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 postive valued convex game is covered by weighted constrained egalitarian solutions.
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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number
107.
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Find related papers by JEL classification: A13 - General Economics and Teaching - - General Economics - - - Relation of Economics to Social Values C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
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