A note on the nucleolus and the kernel of the assignment game
AbstractThere 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
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Bibliographic InfoArticle provided by Springer in its journal International Journal of Games Theory.
Volume (Year): 33 (2004)
Issue (Month): 1 (January)
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Web page: http://link.springer.de/link/service/journals/00182/index.htm
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- 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.
- Marina Nunez Oliva & Carlos Rafels Pallarola, 2005. "Uniform-price assignment markets," Working Papers in Economics 135, Universitat de Barcelona. Espai de Recerca en Economia.
- Adegbesan, Tunji, 2007. "Strategic factor markets: Bargaining, scarcity, and resource complementarity," IESE Research Papers D/666, IESE Business School.
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