{"ID":2845617,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.03145","arxiv_id":"2511.03145","title":"Balanced contributions, consistency, and value for games with externalities","abstract":"We consider fair and consistent extensions of the Shapley value for games with externalities. Based on the restriction identified by Casajus et al. (2024, Games Econ. Behavior 147, 88-146), we define balanced contributions, Sobolev's consistency, and Hart and Mas-Colell's consistency for games with externalities, and we show that these properties lead to characterizations of the generalization of the Shapley value introduced by Macho-Stadler et al. (2007, J. Econ. Theory 135, 339-356), that parallel important characterizations of the Shapley value.","short_abstract":"We consider fair and consistent extensions of the Shapley value for games with externalities. Based on the restriction identified by Casajus et al. (2024, Games Econ. Behavior 147, 88-146), we define balanced contributions, Sobolev's consistency, and Hart and Mas-Colell's consistency for games with externalities, and w...","url_abs":"https://arxiv.org/abs/2511.03145","url_pdf":"https://arxiv.org/pdf/2511.03145v1","authors":"[\"André Casajus\",\"Yukihiko Funaki\",\"Frank Huettner\"]","published":"2025-11-05T03:08:37Z","proceeding":"econ.TH","tasks":"[\"econ.TH\",\"cs.GT\",\"math.CO\"]","methods":"[]","has_code":false}