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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
    as

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    File URL: https://pub.uni-bielefeld.de/download/2316431/2319867
    File Function: First Version, 2009
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    References listed on IDEAS

    as
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    5. Yaron Azrieli & Ehud Lehrer, 2007. "On some families of cooperative fuzzy games," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 1-15, September.
    6. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
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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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