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.
Dehez, P., & Pacini, P. M. (2024). A note on the relation between the Shapley value and the core of 3-player transferable utility games. Economics Bulletin, 44(2), 611-619. https://hdl.handle.net/2078.5/217831 (Original work published 2024)