The Equivalence of the Minimal Dominant Set and the Myopic Stable Set for Coalition Function Form Games
P. Jean-Jacques Herings and
László Kóczy ()
No 2022, CERS-IE WORKING PAPERS from Institute of Economics, Centre for Economic and Regional Studies
In cooperative games, the coalition structure core is, despite its potential emptiness, one of the most popular solutions. While it is a fundamentally static concept, the consideration of a sequential extension of the underlying dominance correspondence gave rise to a selection of non-empty generalizations. Among these, the payoff-equivalence minimal dominant set and the myopic stable set are defined by a similar set of conditions. We identify some problems with the payoff-equivalence minimal dominant set and propose an appropriate reformulation called the minimal dominant set. We show that replacing asymptotic external stability by sequential weak dominance leaves the myopic stable set unaffected. The myopic stable set is therefore equivalent to the minimal dominant set.
Keywords: coalition structure core; sequential dominance (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 22 pages
New Economics Papers: this item is included in nep-des and nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
Journal Article: The equivalence of the minimal dominant set and the myopic stable set for coalition function form games (2021)
Working Paper: The Equivalence of the Minimal Dominant Set and the Myopic Stable Set for Coalition Function Form Games (2020)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:has:discpr:2022
Access Statistics for this paper
More papers in CERS-IE WORKING PAPERS from Institute of Economics, Centre for Economic and Regional Studies Contact information at EDIRC.
Bibliographic data for series maintained by Nora Horvath ( this e-mail address is bad, please contact ).