Coalition Formation and Stability

Antonio Magaña () and Francesc Carreras
Additional contact information
Antonio Magaña: Universitat Politècnica de Catalunya (UPC)
Francesc Carreras: Universitat Politècnica de Catalunya (UPC)

Group Decision and Negotiation, 2018, vol. 27, issue 3, No 8, 467-502

Abstract: Abstract This paper aims to develop, for any cooperative game, a solution notion that enjoys stability and consists of a coalition structure and an associated payoff vector derived from the Shapley value. To this end, two concepts are combined: those of strong Nash equilibrium and Aumann–Drèze coalitional value. In particular, we are interested in conditions ensuring that the grand coalition is the best preference for all players. Monotonicity, convexity, cohesiveness and other conditions are used to provide several theoretical results that we apply to numerical examples including real-world economic situations.

Keywords: Game theory; TU cooperative game; Monotonicity; Superadditivity; Convexity; Cohesiveness; Shapley value; Coalition structure; Aumann–Drèze value; Strong Nash equilibrium; Stability; 91A12; C71 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://link.springer.com/10.1007/s10726-018-9570-1 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:grdene:v:27:y:2018:i:3:d:10.1007_s10726-018-9570-1

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10726/PS2

DOI: 10.1007/s10726-018-9570-1

Access Statistics for this article

Group Decision and Negotiation is currently edited by Gregory E. Kersten

More articles in Group Decision and Negotiation from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().