title: Dynamic Cost-Sharing Game with Spanning Arborescence
metadata.name: dc.contributor.author
metadata.value: Ye, Peichen
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Li, Yin
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Petrosian, Ovanes
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-05T16:50:09Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-05T16:50:09Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ye, P., Li, Y., & Petrosian, O. (2022). Dynamic Cost-Sharing Game with Spanning Arborescence. Contributions to Game Theory and Management, 15, 287-302.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu31.2022.21
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41438
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This paper presents the dynamic Shapley value for cost-sharing game with spanning arborescence. The cooperative behaviour of players is determined, and a two-stage directed network game is considered. At each stage, a cost matrix associated with the directed network is defined by players adopting strategies, and a minimum cost spanning arborescence on the directed network is determined. After the first stage, a particular player will leave the game with a certain probability, which depends on all players' behaviours in the first stage. The characteristic function is defined. Using the Imputation Distribution Procedure(IDP), the dynamic Shapley value in the game is constructed.
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: directed network
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: cost sharing game
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: minimum cost spanning arborescences
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: dynamic Shapley value
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Dynamic Cost-Sharing Game with Spanning Arborescence
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 21.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41438/1/21.pdf
resources.format: Adobe PDF
resources.size: 717,34 kB