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On the nucleolus of 2 x 2 assignment games

Author

Listed:
  • 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.

Suggested Citation

  • F. Javier Martínez-de-Albéniz & Carles Rafels & Neus Ybern, 2013. "On the nucleolus of 2 x 2 assignment games," Economics Bulletin, AccessEcon, vol. 33(2), pages 1641-1648.
    • Handle: RePEc:ebl:ecbull:eb-12-00849
    as

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    References listed on IDEAS

    as
    1. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    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.
    3. Solymosi, Tamas & Raghavan, Tirukkannamangai E S, 1994. "An Algorithm for Finding the Nucleolus of Asignment Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(2), pages 119-143.
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    More about this item

    Keywords

    Assignment game; core; nucleolus;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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