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Characterizing core stability with fuzzy games

Author

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  • Shellshear, Evan

    (Center for Mathematical Economics, Bielefeld University)

Abstract

This paper investigates core stability of cooperative, TU games via a fuzzy extension of the totally balanced cover of a TU game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to reflect the core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the existence of an equilibrium of a certain correspondence.

Suggested Citation

  • Shellshear, Evan, 2011. "Characterizing core stability with fuzzy games," Center for Mathematical Economics Working Papers 410, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:410
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    File URL: https://pub.uni-bielefeld.de/download/2316431/2319867
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    References listed on IDEAS

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    More about this item

    Keywords

    Fuzzy coalition; Stable set; Cooperative game; Core; Core stability; Fuzzy game;
    All these keywords.

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