Decomposition of the space of TU-games, Strong transfer invariance and the Banzhaf value
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Decomposition of the space of TU-games, Strong transfer invariance and the Banzhaf value |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Beal S, Remila E, Solal P |
| Journal | OPERATIONS RESEARCH LETTERS |
| Volume | 43 |
| Pagination | 123-125 |
| Date Published | MAR |
| Type of Article | Article |
| ISSN | 0167-6377 |
| Mots-clés | Banzhaf value, Direct-sum decomposition, Dummy player axiom, Strong transfer invariance |
| Résumé | The Banzhaf value is characterized on the (linear) space of all TU-games on a fixed player set by means of the Dummy player axiom and Strong transfer invariance. The latter axiom indicates that a player's payoff is invariant to a transfer of worth between two coalitions he or she belongs to. To prove this result we derive direct-sum decompositions of the space of all TU-games. This decomposition method has several advantages listed as concluding remarks. (C) 2014 Elsevier B.V. All rights reserved. |
| DOI | 10.1016/j.orl.2014.12.011 |