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Comparing the nucleolus and the Shapley value of 3-player transferable utility games

Author

Listed:
  • Pierre Dehez

    (UCLouvain)

  • Pier Mario Pacini

    (University of Pisa)

Abstract

We propose a simplified version of the formulas defining the nucleolus of a 3-player transferable utility game proposed by Legros (1981) and study its relation to the Shapley value.

Suggested Citation

  • Pierre Dehez & Pier Mario Pacini, 2025. "Comparing the nucleolus and the Shapley value of 3-player transferable utility games," Economics Bulletin, AccessEcon, vol. 45(3), pages 1588-1597.
    • Handle: RePEc:ebl:ecbull:eb-25-00361
    as

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    References listed on IDEAS

    as
    1. Pierre Dehez & Pier Mario Pacini, 2025. "Corrigendum to "A note on the relation between the Shapley value and the core of 3-player transferable utility games"," Economics Bulletin, AccessEcon, vol. 45(1), pages 138-138.
    2. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    3. Yokote, Koji & Funaki, Yukihiko & Kamijo, Yoshio, 2017. "Coincidence of the Shapley value with other solutions satisfying covariance," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 1-9.
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    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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