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

Zsófia Dornai () and Miklós Pintér ()
Additional contact information
Zsófia Dornai: Budapest University of Technology and Economics
Miklós Pintér: Corvinus University of Budapest

International Journal of Game Theory, 2024, vol. 53, issue 3, No 13, 1005-1032

Abstract: Abstract TU-games with utility functions are considered. Generalizations of the prenucleolus, essential coalitions and the core: the $${\textbf{u}}$$ u -prenucleolus, $${\textbf{u}}$$ u -essential coalitions and the $${\textbf{u}}$$ u -core respectively are introduced. We show that $${\textbf{u}}$$ u -essential coalitions form a characterisation set for the $${\textbf{u}}$$ u -prenucleolus in case of games with nonempty $${\textbf{u}}$$ u -core.

Keywords: TU-games; Restricted cooperation; Prenucleolus; Core; Essential coalitions; TU-games with utility (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00182-024-00905-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jogath:v:53:y:2024:i:3:d:10.1007_s00182-024-00905-3

Ordering information: This journal article can be ordered from
http://www.springer. ... eory/journal/182/PS2

DOI: 10.1007/s00182-024-00905-3

Access Statistics for this article

International Journal of Game Theory is currently edited by Shmuel Zamir, Vijay Krishna and Bernhard von Stengel

More articles in International Journal of Game Theory from Springer, Game Theory Society
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().