TU-games with utilities: the prenucleolus and its characterization set
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929429729509376 |
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| author | Dornai, Zsófia Pintér, Miklós |
| author_facet | Dornai, Zsófia Pintér, Miklós |
| contents | TU-games with utility functions are considered. Generalizations of the prenucleolus, essential coalitions and the core: the u-prenucleolus, u-essential coalitions and the u-core respectively are introduced. We show that u-essential coalitions form a characterisation set for the u-prenucleolus in case of games with nonempty u-core. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15372 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | TU-games with utilities: the prenucleolus and its characterization set Dornai, Zsófia Pintér, Miklós Optimization and Control 91A12 TU-games with utility functions are considered. Generalizations of the prenucleolus, essential coalitions and the core: the u-prenucleolus, u-essential coalitions and the u-core respectively are introduced. We show that u-essential coalitions form a characterisation set for the u-prenucleolus in case of games with nonempty u-core. |
| title | TU-games with utilities: the prenucleolus and its characterization set |
| topic | Optimization and Control 91A12 |
| url | https://arxiv.org/abs/2407.15372 |