Repositori institucional URV
| URV's Author/s: | Giménez Gómez, José Manuel |
| Author, as appears in the article.: | Subiza, Begona; Gimenez-Gomez, Jose-Manuel; Peris, Josep E |
| Author's mail: | josemanuel.gimenez@urv.cat |
| Author identifier: | 0000-0003-0202-4623 |
| Journal publication year: | 2025 |
| Publication Type: | Journal Publications |
| APA: | Subiza, Begona; Gimenez-Gomez, Jose-Manuel; Peris, Josep E (2025). Cooperative TU-games: Dominance, stable sets, and the core revisited. Journal Of Mathematical Economics, 119(), 103137-. DOI: 10.1016/j.jmateco.2025.103137 |
| Paper original source: | Journal Of Mathematical Economics. 119 103137- |
| Abstract: | Stable sets are introduced by von Neumann and Morgenstern (1944) as "the solution" of a cooperative game. Later on, Gillies (1953) defines the core of the game. Both notions can be established in terms of dominance. It is well known that the core may be an empty set, whereas stable sets may fail to exist, or may produce different proposals. We provide a new dominance relation so that the stable set obtained when applying this notion (the delta-stable set) always exists, it is unique, and it coincides with the core of the cooperative game, whenever the core is not empty. We apply this concept to some particular classes of TU-games having typically an empty core: voting (majority) games, minimum cost spanning trees games with revenue, controlled capacitated networks, or m-sequencing games. |
| Article's DOI: | 10.1016/j.jmateco.2025.103137 |
| Link to the original source: | https://www.sciencedirect.com/science/article/pii/S0304406825000540?via%3Dihub |
| Paper version: | info:eu-repo/semantics/publishedVersion |
| licence for use: | https://creativecommons.org/licenses/by/3.0/es/ |
| Department: | Economia |
| Licence document URL: | https://repositori.urv.cat/ca/proteccio-de-dades/ |
| Thematic Areas: | Applied mathematics Ciencias sociales Economia Economics Economics and econometrics Interdisciplinar Matemática / probabilidade e estatística Mathematics, applied Mathematics, interdisciplinary applications Social sciences, mathematical methods |
| Keywords: | Core Dominance Stable se Stable set |
| Entity: | Universitat Rovira i Virgili |
| Record's date: | 2025-08-02 |
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