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A characterization of convex TU games by means of the Mas-Colell bargaining set (à la Shimomura)

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  • Josep Izquierdo
  • Carles Rafels

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  • Josep Izquierdo & Carles Rafels, 2012. "A characterization of convex TU games by means of the Mas-Colell bargaining set (à la Shimomura)," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 381-395, May.
    • Handle: RePEc:spr:jogath:v:41:y:2012:i:2:p:381-395
    DOI: 10.1007/s00182-011-0291-9
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    References listed on IDEAS

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    1. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    2. Ken-Ichi Shimomura, 1997. "Quasi-Cores in Bargaining Sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(3), pages 283-302.
    3. Greenberg, Joseph, 1992. "On the Sensitivity of von Neumann and Morgenstern Abstract Stable Sets: The Stable and the Individual Stable Bargaining Set," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 41-55.
    4. Rafels, C. & Tijs, S.H., 1997. "On the cores of cooperative games and the stability of the Weber set," Other publications TiSEM 14435da8-14ce-4845-8e54-4, Tilburg University, School of Economics and Management.
    5. Einy, Ezra & Shitovitz, Benyamin, 1996. "Convex Games and Stable Sets," Games and Economic Behavior, Elsevier, vol. 16(2), pages 192-201, October.
    6. Vohra, Rajiv, 1991. "An existence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 19-34.
    7. Einy, Ezra & Wettstein, David, 1996. "Equivalence between Bargaining Sets and the Core in Simple Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 65-71.
    8. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
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    Citations

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    Cited by:

    1. Jesús Getán & Josep Izquierdo & Jesús Montes & Carles Rafels, 2015. "The bargaining set for almost-convex games," Annals of Operations Research, Springer, vol. 225(1), pages 83-89, February.
    2. Jesús Getán & Jesús Montes & Carles Rafels, 2014. "A note: characterizations of convex games by means of population monotonic allocation schemes," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 871-879, November.
    3. Josep Maria Izquierdo & Carles Rafels, 2018. "The core and the steady bargaining set for convex games," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 35-54, March.

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    More about this item

    Keywords

    Cooperative game; Convex games; Bargaining set; Core; C71;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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