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Weighted Constrained Egalitarianism in TU-Games

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  • Koster, M.A.L.

    (Tilburg University, Center for Economic Research)

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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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1999-107.

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

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Web page: http://center.uvt.nl

Related research

Keywords: Cooperative game theory; inequality; egalitarianism; Lorenz-ordering; core;

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References

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  1. 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.
  2. Tijs, S.H. & Koster, M.A.L., 1998. "General aggregation of demand and cost sharing methods," Open Access publications from Tilburg University urn:nbn:nl:ui:12-79248, Tilburg University.
  3. 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.
  4. Koster, M.A.L. & Molina, E. & Sprumont, Y. & Tijs, S.H., 1998. "Core Representations of the Standard Fixed Tree Game," Discussion Paper 1998-21, Tilburg University, Center for Economic Research.
  5. 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.
  6. Arin, J. & Inarra, E., 1997. "Consistency and Egalitarianism: The Egalitarian Set," ASSET - Instituto De Economia Publica 163, ASSET (Association of Southern European Economic Theorists).
  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. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May.
  9. 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.
  10. Udo Ebert, 1999. "Using equivalent income of equivalent adults to rank income distributions," Social Choice and Welfare, Springer, vol. 16(2), pages 233-258.
  11. 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.
  12. Javier Arin & Jeroen Kuipers & Dries Vermeulen, 2008. "An axiomatic approach to egalitarianism in TU-games," International Journal of Game Theory, Springer, vol. 37(4), pages 565-580, December.
  13. Ebert, Udo, 1997. "Social Welfare When Needs Differ: An Axiomatic Approach," Economica, London School of Economics and Political Science, vol. 64(254), pages 233-44, May.
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Cited by:
  1. Endre Bjørndal & Maurice Koster & Stef Tijs, 2004. "Weighted allocation rules for standard fixed tree games," Computational Statistics, Springer, vol. 59(2), pages 249-270, 06.

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