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Characterizations of the Egalitarian Solution for Convex Games

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Author Info

  • Klijn, F.
  • Slikker, M.
  • Tijs, S.H.
  • Zarzuelo, J.

    (Tilburg University, Center for Economic Research)

Abstract

The egalitarian solution for TU-games as introduced by Dutta and Ray [3] is studied. Two characterizations of the restriction of this solution to the class of convex games are given, using weak variants of the reduced game properties of Hart and Mas-Colell [6] and Davis and Maschler [5]. The other properties are a stability property, inspired by Selten [8], and a property restricting maximum payoffs. Further, a dual egalitarian solution is introduced and it is proved that for a convex game the egalitarian allocation is equal to the dual egalitarian allocation for its dual concave game.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1998-33.

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Date of creation: 1998
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Handle: RePEc:dgr:kubcen:199833

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

Related research

Keywords: convex TU-games; egalitarian solution; characterizations;

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References

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  1. Dutta, Bhaskar & Ray, Debraj, 1991. "Constrained egalitarian allocations," Games and Economic Behavior, Elsevier, vol. 3(4), pages 403-422, November.
  2. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
  3. Arin, J. & Inarra, E., 1997. "Consistency and Egalitarianism: The Egalitarian Set," ASSET - Instituto De Economia Publica 163, ASSET (Association of Southern European Economic Theorists).
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Citations

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Cited by:
  1. Arin, Javier & Kuipers, Jeroen & Vermeulen, Dries, 2003. "Some characterizations of egalitarian solutions on classes of TU-games," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 327-345, December.
  2. Klijn, F. & Slikker, M. & Tijs, S.H. & Zarzuelo, I., 2000. "The egalitarian solution for convex games: Some characterizations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154182, Tilburg University.
  3. 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.

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