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An efficient Shapley value for games with fuzzy characteristic function

Author

Listed:
  • Mallozzi, Lina
  • Vidal-Puga, Juan

Abstract

We consider cooperative games where the characteristic function is valued in the space of the fuzzy numbers. By using different fuzzy calculation methods to transform the game into a crisp cooperative one, we define and characterize an efficient extension of the Shapley value. This solution is a relevant member of a wider family of more general, fuzzy calculation method dependent extensions of the Shapley value.

Suggested Citation

  • Mallozzi, Lina & Vidal-Puga, Juan, 2024. "An efficient Shapley value for games with fuzzy characteristic function," MPRA Paper 122168, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:122168
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    File URL: https://mpra.ub.uni-muenchen.de/122168/1/MPRA_paper_122168.pdf
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    More about this item

    Keywords

    Cooperative game; Shapley value; fuzzy set; efficiency;
    All these keywords.

    JEL classification:

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

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