Balanced contributions, consistency, and value for games with externalities

Fuente: arXiv
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Autori principali: Casajus, André, Funaki, Yukihiko, Huettner, Frank
Natura: Preprint
Pubblicazione: 2025
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author Casajus, André
Funaki, Yukihiko
Huettner, Frank
author_facet Casajus, André
Funaki, Yukihiko
Huettner, Frank
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_03145
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Balanced contributions, consistency, and value for games with externalities
Casajus, André
Funaki, Yukihiko
Huettner, Frank
Theoretical Economics
Computer Science and Game Theory
Combinatorics
91A12
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.
title Balanced contributions, consistency, and value for games with externalities
topic Theoretical Economics
Computer Science and Game Theory
Combinatorics
91A12
url https://arxiv.org/abs/2511.03145