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.

A NOTE ON THE RELATION BETWEEN THE SHAPLEY VALUE AND THE CORE OF 3-PLAYER TRANSFERABLE UTILITY GAMES

Dehez, Pierre;Pacini, Pier Mario
2024-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1240768
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