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A note on the relation between the Shapley value and the core of 3-player transferable utility games

Author

Listed:
  • Dehez, Pierre

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

  • Pacini, Pier Mario

Abstract

We reconsider the necessary and sufficient conditions under which the Shapley value of a 3-player superadditive game belongs to the core. We then compute the proportion of games whose Shapley value belongs to the core within the set of balanced superadditive games.

Suggested Citation

  • Dehez, Pierre & Pacini, Pier Mario, 2024. "A note on the relation between the Shapley value and the core of 3-player transferable utility games," LIDAM Discussion Papers CORE 2024001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2024001
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    More about this item

    Keywords

    Core ; Shapley value;

    JEL classification:

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

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