title: Two-Level Cooperative Game on Hypergraph
metadata.name: dc.contributor.author
metadata.value: Kosian, David A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Petrosyan, Leon A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-11-26T19:40:28Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-11-26T19:40:28Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-10
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kosian D. A., Petrosyan L. A., Two-Level Cooperative Game on Hypergraph. Contributions to Game Theory and Management, XIV, 227-235.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu31.2021.17
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33699
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the paper, the cooperative game with a hypergraph communication
  structure is considered. For this class of games, a new allocation
  rule was proposed by splitting the original game into a game between hyperlinks
  and games within them. The communication possibilities are described
  by the hypergraph in which the nodes are players and hyperlinks are
  the communicating subgroups of players. The game between hyperlinks and
  between players in each hyperlink is described. The payoff of each player
  is influenced by the actions of other players dependent on the distance between
  them on hypergraph. Constructed characteristic functions based on
  cooperative behaviour satisfy the convexity property. The results are shown
  by the example.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work of the second author is supported by the Russian Science Foundation (grant
  no. 17-11-01079).
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 14
metadata.lang: -
metadata.name: dc.subject
metadata.value: cooperation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: characteristic function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: hypergraph
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: communication structure
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Two-Level Cooperative Game on Hypergraph
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 227-235.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33699/1/227-235.pdf
resources.format: Adobe PDF
resources.size: 463,76 kB