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The Equal Split-Off Set for Cooperative Games

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  • Brânzei, R.
  • Dimitrov, D.A.
  • Tijs, S.H.

    (Tilburg University, Center for Economic Research)

Abstract

In this paper the equal split-o. set is introduced as a new solution concept for cooperative games.This solution is based on egalitarian considerations and it turns out that for superadditive games the equal split-o. set is a subset of the equal division core.Moreover, the proposed solution is single valued on the class of convex games and it coincides with the Dutta-Ray constrained egalitarian solution.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2004-110.

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Date of creation: 2004
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Handle: RePEc:dgr:kubcen:2004110

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References

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  1. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May.
  2. Jens Leth Hougaard & Lars Thorlund-Petersen & Bezalel Peleg, 2001. "On the set of Lorenz-maximal imputations in the core of a balanced game," International Journal of Game Theory, Springer, vol. 30(2), pages 147-165.
  3. Javier Arin & Elena Inarra, 2001. "Egalitarian solutions in the core," International Journal of Game Theory, Springer, vol. 30(2), pages 187-193.
  4. Dutta, Bhaskar & Ray, Debraj, 1991. "Constrained egalitarian allocations," Games and Economic Behavior, Elsevier, vol. 3(4), pages 403-422, November.
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Cited by:
  1. Brânzei, R. & Llorca, N. & Sánchez-Soriano, J. & Tijs, S.H., 2007. "Egalitarianism in Multi-Choice Games," Discussion Paper 2007-55, Tilburg University, Center for Economic Research.
  2. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2006. "Convex games versus clan games," Working Papers 381, Bielefeld University, Center for Mathematical Economics.
  3. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2005. "Convex games, clan games, and their marginal games," Working Papers 368, Bielefeld University, Center for Mathematical Economics.

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