title: A note on cooperative differential games with pairwise interactions
metadata.name: dc.contributor.author
metadata.value: He, Yang
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Petrosyan, Leon A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-04-22T20:41:00Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-04-22T20:41:00Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: He Y., Petrosyan L. A. A note on cooperative differential games with pairwise interactions. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2024, vol. 20, iss. 1, pp. 91–108. https://doi.org/10.21638/11701/spbu10.2024.108
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2024.108
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45332
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, a differential game with pairwise interaction in a network is proposed. For
  explicitly, the vertices are players, and the edges are connections between them. Meanwhile,
  we consider the cooperative case. One special characteristic function is introduced and its
  convexity is proved. The core is used as a cooperative optimality principle. The characteristic
  function allows the construction of a time-consistent (dynamically stable) solutions, such as
  the Shapley value and the core. Finally, the results are illustrated by an example.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This research was supported by the Russian Science Foundation (project N 22-11-00051,
  https://rscf.ru/project/22-11-00051/).
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: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 20; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: cooperative games
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: differential network games
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: pairwise interactions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: pairwise interactions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: characteristic function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the Shapley value
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: time-consistency
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: A note on cooperative differential games with pairwise interactions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: vestnik_spbu10_2024_091.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45332/1/vestnik_spbu10_2024_091.pdf
resources.format: Adobe PDF
resources.size: 555,53 kB