title: Solutions of network games with pairwise interactions
metadata.name: dc.contributor.author
metadata.value: Bulgakova, Maria A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-06-05T10:49:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-06-05T10:49:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Bulgakova M. A. Solutions of network games with pairwise interactions. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 1, pp. 147–156.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11702/spbu10.2019.112
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15658
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This article is devoted to cooperative network games with pairwise interaction. We consider a two-stage game, the ﬁrst stage of which represents a network-formation stage, and the second is simultaneous bimatrix games, which take place between neighbours over the network. The characteristic function is constructed, its supermodularity is proved for the case of a one-step subgame starting with the second stage. For a special class of networks (star-network), a simpliﬁed formula for the Shapley vector is found, which does not require the calculation of the values of the characteristic function over all coalitions, but only over coalitions of dimension no more than two.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Russian Found of Fundamental Research (grant N 17-51-53030).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
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 15; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: cooperative games
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: convexity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Shapley value
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: characteristic function
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Solutions of network games with pairwise interactions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 12.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15658/1/12.pdf
resources.format: Adobe PDF
resources.size: 312,91 kB