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On the nucleolus of 2 x 2 assignment games

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  • F. Javier Martínez-de-Albéniz

    ()
    (Universitat de Barcelona)

  • Carles Rafels

    ()
    (Universitat de Barcelona)

  • Neus Ybern

    ()
    (Universitat Politècnica de Catalunya)

Abstract

We provide explicit formulas for the nucleolus of an arbitrary assignment game with two buyers and two sellers. Five different cases are analyzed depending on the entries of the assignment matrix. We extend the results to the case of 2 x m or m x 2 assignment games.

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File URL: http://www.accessecon.com/Pubs/EB/2013/Volume33/EB-13-V33-I2-P153.pdf
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Bibliographic Info

Article provided by AccessEcon in its journal Economics Bulletin.

Volume (Year): 33 (2013)
Issue (Month): 2 ()
Pages: 1641-1648

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Handle: RePEc:ebl:ecbull:eb-12-00849

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Keywords: Assignment game; core; nucleolus;

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  1. Solymosi, Tamas & Raghavan, Tirukkannamangai E S, 1994. "An Algorithm for Finding the Nucleolus of Asignment Games," International Journal of Game Theory, Springer, vol. 23(2), pages 119-43.
  2. Francesc Llerena & Marina Nunez, 2011. "A geometric characterization of the nucleolus of the assignment game," Economics Bulletin, AccessEcon, vol. 31(4), pages 3275-3285.
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