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On the nucleolus of 2 x 2 assignment games

Author

Listed:
  • F. Javier Martinez de Albeniz
  • Carles Rafels
  • Neus Ybern

    (Universitat de Barcelona)

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 m or m 2 assignment games.

Suggested Citation

  • F. Javier Martinez de Albeniz & Carles Rafels & Neus Ybern, 2013. "On the nucleolus of 2 x 2 assignment games," Working Papers in Economics 289, Universitat de Barcelona. Espai de Recerca en Economia.
    • Handle: RePEc:bar:bedcje:2013289
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    References listed on IDEAS

    as
    1. Francesc Llerena & Marina Nunez, 2011. "A geometric characterization of the nucleolus of the assignment game," Economics Bulletin, AccessEcon, vol. 31(4), pages 3275-3285.
    2. 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).
    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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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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