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The MC-value for monotonic NTU-games

Author

Listed:
  • Otten, G.J.M.
  • Borm, P.E.M.

    (Tilburg University, School of Economics and Management)

  • Peleg, B.
  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

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.)

Suggested Citation

  • Otten, G.J.M. & Borm, P.E.M. & Peleg, B. & Tijs, S.H., 1998. "The MC-value for monotonic NTU-games," Other publications TiSEM 9f03343a-8e36-453a-868d-a, Tilburg University, School of Economics and Management.
  • Handle: RePEc:tiu:tiutis:9f03343a-8e36-453a-868d-a98dcf91db7f
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    Citations

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    Cited by:

    1. Hendrickx, R.L.P. & Borm, P.E.M. & Timmer, J.B., 2000. "On Convexity for NTU-Games," Other publications TiSEM ef12f1e8-87f5-41b4-97e4-7, Tilburg University, School of Economics and Management.
    2. Gustavo Bergantiños & Jordi Massó, 2002. "The Chi-compromise value for non-transferable utility games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 56(2), pages 269-286, November.
    3. Dietzenbacher, Bas & Yanovskaya, Elena, 2023. "The equal split-off set for NTU-games," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 61-67.
    4. Dietzenbacher, Bas, 2018. "Bankruptcy games with nontransferable utility," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 16-21.
    5. Gong, Doudou & Dietzenbacher, Bas & Peters, Hans, 2022. "A random arrival rule for NTU-bankruptcy problems," Economics Letters, Elsevier, vol. 218(C).
    6. Koshevoy, G.A. & Suzuki, T. & Talman, A.J.J., 2014. "Supermodular NTU-games," Discussion Paper 2014-067, Tilburg University, Center for Economic Research.
    7. José-Manuel Giménez-Gómez & Peter Sudhölter & Cori Vilella, 2023. "Average monotonic cooperative games with nontransferable utility," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(3), pages 383-390, June.
    8. Ruud Hendrickx & Judith Timmer & Peter Borm, 2002. "A note on NTU convexity," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(1), pages 29-37.
    9. Dominik Karos, 2015. "Stable partitions for games with non-transferable utilities and externalities," Economics Series Working Papers 741, University of Oxford, Department of Economics.
    10. Koji Yokote, 2017. "Weighted values and the core in NTU games," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(3), pages 631-654, August.
    11. Dominik Karos, 2016. "Stable partitions for games with non-transferable utility and externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 817-838, November.

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