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The coincidence of the kernel and nucleolus of a convex game: an alternative proof

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  • Arin Aguirre, Francisco Javier
  • Katsev, Ilya

Abstract

In 1972, Maschler, Peleg and Shapley proved that in the class of convex the nucleolus and the kernel coincide. The only aim of this note is to provide a shorter, alternative proof of this result.

Suggested Citation

  • Arin Aguirre, Francisco Javier & Katsev, Ilya, 2013. "The coincidence of the kernel and nucleolus of a convex game: an alternative proof," IKERLANAK http://www-fae1-eao1-ehu-, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    • Handle: RePEc:ehu:ikerla:9314
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    File URL: https://addi.ehu.es/handle/10810/9314
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    References listed on IDEAS

    as
    1. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
    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. Arin, Javier & Inarra, Elena, 1998. "A Characterization of the Nucleolus for Convex Games," Games and Economic Behavior, Elsevier, vol. 23(1), pages 12-24, April.
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    Cited by:

    1. Elena Iñarra & Roberto Serrano & Ken-Ichi Shimomura, 2020. "The Nucleolus, the Kernel, and the Bargaining Set: An Update," Revue économique, Presses de Sciences-Po, vol. 71(2), pages 225-266.

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    Keywords

    nucleolus; kernel; convex games;
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