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The nucleolus of the assignment game. Structure of the family

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, 2018. "The nucleolus of the assignment game. Structure of the family," UB School of Economics Working Papers 2018/386, University of Barcelona School of Economics.
  • Handle: RePEc:ewp:wpaper:386web
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    File URL: http://hdl.handle.net/2445/127510
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    More about this item

    Keywords

    Assignment game; core; nucleolus; semilattice.;
    All these keywords.

    JEL classification:

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

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