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A monotonic core concept for convex games: The SD-prenucleolus

Author

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  • Arin Aguirre, Francisco Javier
  • Katsev, Ilya

Abstract

We prove that the SD-prenucleolus satisfies monotonicity in the class of convex games. The SD-prenucleolus is thus the only known continuous core concept that satisfies monotonicity for convex games. We also prove that for convex games the SD-prenucleolus and the SD-prekernel coincide.

Suggested Citation

  • Arin Aguirre, Francisco Javier & Katsev, Ilya, 2013. "A monotonic core concept for convex games: The SD-prenucleolus," IKERLANAK Ikerlanak;2013-69, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  • Handle: RePEc:ehu:ikerla:9828
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    File URL: https://addi.ehu.es/handle/10810/9828
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    Keywords

    TU games; prenucleolus; monotonicity;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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