A decomposition of the space of TU-games using addition and transfer invariance
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | A decomposition of the space of TU-games using addition and transfer invariance |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Beal S, Remila E, Solal P |
| Journal | DISCRETE APPLIED MATHEMATICS |
| Volume | 184 |
| Pagination | 1-13 |
| Date Published | MAR 31 |
| Type of Article | Article |
| ISSN | 0166-218X |
| Mots-clés | Addition invariance, Allocation rules, Direct-sum decomposition, Transfer invariance |
| Résumé | In Beal et al. (forthcoming) two new axioms of invariance, called Addition invariance and Transfer invariance respectively, are introduced to design allocation rules for TU-games. Here, we derive direct-sum decompositions of the linear space of TU-games by using the TU-games selected to construct the operations of Addition and Transfer. These decompositions allow us to recover previous characterization results obtained by Beal et al. (forthcoming), to provide new characterizations of well-known (class of) allocation rules and also to design new allocation rules. (C) 2014 Elsevier B.V. All rights reserved. |
| DOI | 10.1016/j.dam.2014.12.019 |