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

Dehez, Pierre;Pacini, Pier Mario
(2024) , 10 pages

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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.
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Dehez, P., & Pacini, P. M. (2024). A note on the relation between the Shapley value and the core of 3-player transferable utility games (LIDAM Discussion Paper CORE 2024/01). https://hdl.handle.net/2078.5/213973