TU-games with utilities: the prenucleolus and its characterization set: TU-games with utilities: the prenucleolus and its

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 i...

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Bibliographic Details
Published in:International journal of game theory 2024, Vol.53 (3), p.1005-1032
Main Authors: Dornai, Zsófia, Pintér, Miklós
Format: Article
Language:English
Subjects:
Behavioral/Experimental Economics
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Economics and Finance
Game Theory
Operations Research/Decision Theory
Original Paper
Social and Behav. Sciences
Online Access:Get full text
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Summary: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.
ISSN:0020-7276
1432-1270
DOI:10.1007/s00182-024-00905-3