IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v27y1998i1p37-47.html
   My bibliography  Save this article

The MC-value for monotonic NTU-games

Author

Listed:
  • Bezalel Peleg

    (CentER for Economic Research, Tilburg University, and Department of Mathematics, the Hebrew University of Jerusalem, Jerusalem 91904, Israel)

  • Stef Tijs

    (Department of Econometrics and CentER for Economic Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, the Netherlands)

  • Peter Borm

    (Department of Econometrics and CentER for Economic Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, the Netherlands)

  • Gert-Jan Otten

    (Department of Econometrics and CentER for Economic Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, the Netherlands)

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).

Suggested Citation

  • Bezalel Peleg & Stef Tijs & Peter Borm & Gert-Jan Otten, 1998. "The MC-value for monotonic NTU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(1), pages 37-47.
    • Handle: RePEc:spr:jogath:v:27:y:1998:i:1:p:37-47
    Note: Received April 1994/Final version May 1997
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/00182/papers/8027001/80270037.pdf
    Download Restriction: Access to the full text of the articles in this series is restricted
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jogath:v:27:y:1998:i:1:p:37-47. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.