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

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Author Info

  • 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

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File URL: http://hdl.handle.net/10.1007/s001820400184
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Bibliographic Info

Article provided by Springer in its journal International Journal of Games Theory.

Volume (Year): 33 (2004)
Issue (Month): 1 (January)
Pages: 55-65

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Handle: RePEc:spr:jogath:v:33:y:2004:i:1:p:55-65

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Web page: http://link.springer.de/link/service/journals/00182/index.htm

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Related research

Keywords: assignment game; core; kernel; nucleolus;

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Cited by:
  1. Marina Nunez Oliva & Carlos Rafels Pallarola, 2005. "Uniform-price assignment markets," Working Papers in Economics 135, Universitat de Barcelona. Espai de Recerca en Economia.
  2. F. Javier Martinez-de-Albeniz & Marina Nunez & Carles Rafels, 2010. "Assignment markets with the same core," Working Papers in Economics 239, Universitat de Barcelona. Espai de Recerca en Economia.
  3. Adegbesan, Tunji, 2007. "Strategic factor markets: Bargaining, scarcity, and resource complementarity," IESE Research Papers D/666, IESE Business School.

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