title: Existence of Stable Coalition Structures in Three-player Games with Graph-constrained Solution
metadata.name: dc.contributor.author
metadata.value: Sun, Ping
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-05T16:10:26Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-05T16:10:26Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Sun, P. (2023). Existence of Stable Coalition Structures in Three-player Games with Graph-constrained Solution. Contributions to Game Theory and Management, 15, 226-235.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu31.2022.17
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41434
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The stability of coalition structures is investigated in the sense
  that no player prefers to individually deviate from the current coalition considering
  his utility. This principle is close to the concept of the Nash equilibrium.
  The evaluation of each player’s utility is determined with respect
  to the solution concept– the Shapley value with exogenous directed graph
  constraint. The existence of a stable coalition structure with respect to such
  a solution is examined for two-player as well as three-player games.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This research was supported by the Russian Science Foundation grant No. 22-21-
  00346, https://rscf.ru/en/project/22-21-00346/
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Contributions to Game Theory and Management;Volume 15
metadata.lang: -
metadata.name: dc.subject
metadata.value: coalition structure
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the Shapley value
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: directed graph
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Existence of Stable Coalition Structures in Three-player Games with Graph-constrained Solution
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 17.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41434/1/17.pdf
resources.format: Adobe PDF
resources.size: 609,5 kB