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The comparability of the classical and the Mas-Colell bargaining sets


  • Ron Holzman

    () (Department of Mathematics, Technion-Israel Institute of Technology, 32000 Haifa, Israel)


The Mas-Colell bargaining set is shown to contain the classical bargaining set for superadditive NTU games satisfying the nonlevelness condition. Without superadditivity this is no longer true, but in the TU case the containment still holds for the closure of the Mas-Colell bargaining set.

Suggested Citation

  • Ron Holzman, 2001. "The comparability of the classical and the Mas-Colell bargaining sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 543-553.
  • Handle: RePEc:spr:jogath:v:29:y:2001:i:4:p:543-553 Note: Received: April 2000/Revised version: November 2000

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    References listed on IDEAS

    1. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
    2. Myerson, Roger B., 2000. "Large Poisson Games," Journal of Economic Theory, Elsevier, vol. 94(1), pages 7-45, September.
    3. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
    4. repec:cup:apsrev:v:79:y:1985:i:01:p:62-78_22 is not listed on IDEAS
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    Cited by:

    1. repec:wsi:igtrxx:v:17:y:2015:i:04:n:s0219198915500085 is not listed on IDEAS
    2. Massimiliano Amarante & Luigi Montrucchio, 2010. "The bargaining set of a large game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 313-349, June.
    3. Bezalel Peleg & Peter Sudhölter, 2015. "On Bargaining Sets of Convex NTU Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1-7.
    4. Josep Maria Izquierdo Aznar, 2003. "Regular Population Monotonic Allocation Schemes and the Core," Working Papers in Economics 110, Universitat de Barcelona. Espai de Recerca en Economia.
    5. Massimiliano Amarante & Luigi Montrucchio, 2007. "Mas-Colell Bargaining Set of Large Games," Carlo Alberto Notebooks 63, Collegio Carlo Alberto.
    6. Josep M. Izquierdo & Carles Rafels, 2010. "On the coincidence between the Shimomuras bargaining sets and the core," Working Papers in Economics 241, Universitat de Barcelona. Espai de Recerca en Economia.
    7. Hu, Cheng-Cheng, 2010. "A noncooperative approach to the Mas-Colell bargaining set," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 884-892, September.
    8. repec:rss:jnljse:v2i3p4 is not listed on IDEAS


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