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A note on assignment games with the same nucleolus

Author

Listed:
  • F. Javier Martínez-de-Albéniz

    (Universitat de Barcelona)

  • Carlos Rafels

    (Universitat de Barcelona)

  • Neus Ybern

    (Universitat Politècnica de Catalunya)

Abstract

We show that the family of assignment matrices which give rise to the same nucleolus forms a compact join-semilattice with one maximal element. The above family is, in general, not a convex set, but path-connected.

Suggested Citation

  • F. Javier Martínez-de-Albéniz & Carlos Rafels & Neus Ybern, 2019. "A note on assignment games with the same nucleolus," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(2), pages 187-198, July.
    • Handle: RePEc:spr:topjnl:v:27:y:2019:i:2:d:10.1007_s11750-019-00498-1
    DOI: 10.1007/s11750-019-00498-1
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    References listed on IDEAS

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    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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