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The MC-value for monotonic NTU-games

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Author Info

  • Otten, G.J.M.

    (Tilburg University)

  • Borm, P.E.M.

    (Tilburg University)

  • Peleg, B.

    (Tilburg University)

  • Tijs, S.H.

    (Tilburg University)

Abstract

The MC-value is introduced as a new single-valued solution concept for monotonic NTU-games. The MC-value is based on marginal vectors, which are extensions of the well-known marginal vectors for TU-games and hyperplane games. As a result of the definition it follows that the MC-value coincides with the Shapley value for TU-games and with the consistent Shapley value for hyperplane games. It is shown that on the class of bargaining games the MC-value coincides with the Raiffa-Kalai-Smorodinsky solution. Furthermore, two characterizations of the MC-value are provided on subclasses of NTU-games which need not be convex valued. This allows for a comparison between the MC-value and the egalitarian solution introduced by Kalai and Samet (1985).

(This abstract was borrowed from another version of this item.)

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Bibliographic Info

Paper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-77114.

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Date of creation: 1998
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Publication status: Published in International Journal of Game Theory (1998) v.27, p.37-47
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-77114

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Web page: http://www.tilburguniversity.edu/

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Cited by:
  1. Gustavo Berganti?os & Jordi Massó, . "The Chi-Compromise Value For Non-Transferable Utility Games," UFAE and IAE Working Papers 456.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Otten, G.J.M. & Borm, P.E.M. & Tijs, S.H., 1996. "A note on the characterizations of the compromise value," Open Access publications from Tilburg University urn:nbn:nl:ui:12-72931, Tilburg University.
  3. Hendrickx, R.L.P. & Borm, P.E.M. & Timmer, J.B., 2000. "On Convexity for NTU-Games," Discussion Paper 2000-108, Tilburg University, Center for Economic Research.
  4. Hendrickx, R.L.P., 2001. "A Note on NTU Convexity and Population Monotonic Allocation Schemes," Discussion Paper 2001-70, Tilburg University, Center for Economic Research.
  5. Hendrickx, R.L.P., 2002. "Inheritance of Properties in NTU Communication Situations," Discussion Paper 2002-88, Tilburg University, Center for Economic Research.

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