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Weighted constrained egalitarianism in tu-games

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Author Info
Koster, M. (Tilburg University, Center for Economic Research)

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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 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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Date of creation: 1999
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Handle: RePEc:dgr:kubcen:1999107

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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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  1. Arin, J. & Inarra, E., 1997. "Consistency and Egalitarianism: The Egalitarian Set," ASSET - Instituto De Economia Publica 163, ASSET (Association of Southern European Economic Theorists).
  2. Dutta, B, 1990. "The Egalitarian Solution and Reduced Game Properties in Convex Games," International Journal of Game Theory, Springer, vol. 19(2), pages 153-69.
  3. Tijs, S. & Koster, M., 1996. "General aggregation of demand and cost sharing methods," Discussion Paper 87, Tilburg University, Center for Economic Research. [Downloadable!]
  4. S. H. Tijs & M. Koster & E. Molina & Y. Sprumont, 2002. "Sharing the cost of a network: core and core allocations," International Journal of Game Theory, Springer, vol. 30(4), pages 567-599. [Downloadable!] (restricted)
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  5. Rothschild, Michael & Stiglitz, Joseph E., 1973. "Some further results on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 188-204, April. [Downloadable!] (restricted)
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  6. Udo Ebert, 1999. "Using equivalent income of equivalent adults to rank income distributions," Social Choice and Welfare, Springer, vol. 16(2), pages 233-258. [Downloadable!] (restricted)
  7. Monderer, Dov & Samet, Dov & Shapley, Lloyd S, 1992. "Weighted Values and the Core," International Journal of Game Theory, Springer, vol. 21(1), pages 27-39.
  8. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April. [Downloadable!] (restricted)
  9. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May. [Downloadable!] (restricted)
  10. J.- Y. Jaffray & Ph. Mongin, 1998. "Constrained egalitarianism in a simple redistributive model," THEMA Working Papers 98-37, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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