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A note on the nucleolus and the kernel of the assignment game

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  • Marina Núñez

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Abstract

There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also coincide. To show this, we prove that the nucleolus of an assignment game coincides with that of its buyer–seller exact representative. Copyright Springer-Verlag 2004

Suggested Citation

  • Marina Núñez, 2004. "A note on the nucleolus and the kernel of the assignment game," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 55-65, January.
  • Handle: RePEc:spr:jogath:v:33:y:2004:i:1:p:55-65
    DOI: 10.1007/s001820400184
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    File URL: http://hdl.handle.net/10.1007/s001820400184
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    Cited by:

    1. Adegbesan, Tunji, 2007. "Strategic factor markets: Bargaining, scarcity, and resource complementarity," IESE Research Papers D/666, IESE Business School.
    2. Marina Nunez Oliva & Carlos Rafels Pallarola, 2005. "Uniform-price assignment markets," Working Papers in Economics 135, Universitat de Barcelona. Espai de Recerca en Economia.
    3. Martínez-de-Albéniz, F. Javier & Núñez, Marina & Rafels, Carles, 2011. "Assignment markets with the same core," Games and Economic Behavior, Elsevier, vol. 73(2), pages 553-563.

    More about this item

    Keywords

    assignment game; core; kernel; nucleolus;

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