Symmetric solutions for symmetric games with large cores
type: Item
instance of: scholarly article
title: Symmetric solutions for symmetric games with large cores
zbMATH Open document ID: 0534.90100
DOI: 10.1007/BF01769091
published in: International Journal of Game Theory
publication date: 1983-01-01T00:00:00Z
review text: Symmetric cooperative games are considered and their symmetric solutions are characterized. The symmetric solutions, i.e. the symmetric stable sets, are investigated for games whose cores have non-empty intersections with at least 4-dimensional surfaces of the imputation sets. The main results concern the conditions under which symmetric solutions exist and are unique. Moreover, the symmetric solutions are completely described for all types of five-person symmetric games with non-empty core.
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 3849009
zbMATH Keywords: existence and uniqueness conditions
zbMATH Keywords: Symmetric cooperative games
zbMATH Keywords: symmetric solutions
zbMATH Keywords: symmetric stable sets
zbMATH Keywords: core
author: Shigeo Muto
reviewed by: Milan Mareš
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3849009