title: New Characteristic Function for Two Stage Games with Spanning Tree
metadata.name: dc.contributor.author
metadata.value: Min, Cheng
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Yin, Li
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-11-26T17:31:50Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-11-26T17:31:50Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-10
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Min Cheng, Yin Li, New Characteristic Function for Two Stage Games with Spanning Tree. Contributions to Game Theory and Management, XIV, 59-71.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu31.2021.05
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33687
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Two-stage n-player games with spanning tree are considered. The
  cooperative behaviour of players is defined. After the first stage, a specified
  player leaves the game with a probability that depends on the actions of
  all players in the first stage. A new approach to the construction of the
  characteristic function is proposed. In the game, all players are connected
  with the source directly or indirectly. Assume that the players in coalition
  N \ S have already connected to the source when the players in coalition
  S ⊂ N wish to connect to the source. The players in coalition S could
  connect to the source with the help of the players in coalition N \ S. A
  new characteristic function is de ned in the game, and the Shapley value is
  constructed. Several results based on the new characteristic function in the
  two-stage stochastic game are given.
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: dynamic game
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: minimum cost spanning tree
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Shapley value
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: New Characteristic Function for Two Stage Games with Spanning Tree
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 59-71.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33687/1/59-71.pdf
resources.format: Adobe PDF
resources.size: 602,2 kB