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On the coincidence between the Shimomuras bargaining sets and the core

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  • Josep M. Izquierdo
  • Carles Rafels

    (Universitat de Barcelona)

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    Abstract

    A necessary condition for the coincidence of the bargaining sets de ned by Shimomura (1997) and the core of a cooperative game with transferable utility is provided. To this aim, a set of payo vectors, called max-payo vectors, are introduced. This necessary condition simply checks whether these vectors are core elements of the game.

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    File URL: http://www.ere.ub.es/dtreball/E10241.rdf/at_download/file
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    Bibliographic Info

    Paper provided by Universitat de Barcelona. Espai de Recerca en Economia in its series Working Papers in Economics with number 241.

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    Length: 0 pages
    Date of creation: 2010
    Date of revision:
    Handle: RePEc:bar:bedcje:2010241

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    Postal: Espai de Recerca en Economia, Facultat de Ciències Econòmiques. Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona. Spain.
    Web page: http://www.ere.ub.es
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    1. T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer, vol. 30(2), pages 177-185.
    2. Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May.
    3. TamÂs Solymosi, 1999. "On the bargaining set, kernel and core of superadditive games," International Journal of Game Theory, Springer, vol. 28(2), pages 229-240.
    4. Tamás Solymosi, 2008. "Bargaining sets and the core in partitioning games," Central European Journal of Operations Research, Springer, vol. 16(4), pages 425-440, December.
    5. Dutta, Bhaskar & Ray, Debraj & Sengupta, Kunal & Vohra, Rajiv, 1989. "A consistent bargaining set," Journal of Economic Theory, Elsevier, vol. 49(1), pages 93-112, October.
    6. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    7. Daniel Granot, 2010. "The reactive bargaining set for cooperative games," International Journal of Game Theory, Springer, vol. 39(1), pages 163-170, March.
    8. Peter Sudhölter & Jos A. M. Potters, 2001. "The semireactive bargaining set of a cooperative game," International Journal of Game Theory, Springer, vol. 30(1), pages 117-139.
    9. Izquierdo, Josep M. & Rafels, Carles, 2001. "Average Monotonic Cooperative Games," Games and Economic Behavior, Elsevier, vol. 36(2), pages 174-192, August.
    10. Ron Holzman, 2001. "The comparability of the classical and the Mas-Colell bargaining sets," International Journal of Game Theory, Springer, vol. 29(4), pages 543-553.
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