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

Pierre Dehez () and Pier Mario Pacini ()
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Pier Mario Pacini: University of Pisa

Economics Bulletin, 2024, vol. 44, issue 2, 611 - 619

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. 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. 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. 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.

Keywords: Core; Shapley value (search for similar items in EconPapers)
JEL-codes: C7 (search for similar items in EconPapers)
Date: 2024-06-30
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Citations: View citations in EconPapers (1)

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Related works:
Working Paper: A note on the relation between the Shapley value and the core of 3-player transferable utility games (2024)
Working Paper: A note on the relation between the Shapley value and the core of 3-player transferable utility games (2024)
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