title: Non-autonomous Linear Quadratic Non-cooperative Differential Games with Continuous Updating
metadata.name: dc.contributor.author
metadata.value: Kuchkarov, Ildus
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Petrosian, Ovanes
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Li, Yin
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-05T13:26:29Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-05T13:26:29Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kuchkarov, I., Petrosian, O., & Li, Y. (2022). Non-autonomous Linear Quadratic Non-cooperative Differential Games with Continuous Updating. Contributions to Game Theory and Management, 15, 132-154.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu31.2022.11
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41428
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The subject of this paper is a non-autonomous linear quadratic
  case of a differential game model with continuous updating. This class of
  differential games is essentially new where it is assumed that, at each time
  instant, players have or use information about the game structure defined
  on a closed time interval with a fixed duration. During the interval information
  about motion equations and payoff functions of players updates. It is
  non-autonomy that simulates this effect of updating information. A linear
  quadratic case for this class of games is particularly important for practical
  problems arising in the engineering of human-machine interaction. Here we
  define the Nash equilibrium as an optimality principle and present an explicit
  form of Nash equilibrium for the linear quadratic case. Also, the case
  of dynamic updating for the linear quadratic differential game is studied
  and uniform convergence of Nash equilibrium strategies and corresponding
  trajectory for a case of continuous updating and dynamic updating is
  demonstrated.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Research was supported by the Russian Science Foundation grant No. 18-71-00081.
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: differential games with continuous updating
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Nash equilibrium
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: linear quadratic differential games
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: non-autonomous
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Non-autonomous Linear Quadratic Non-cooperative Differential Games with Continuous Updating
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 11.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41428/1/11.pdf
resources.format: Adobe PDF
resources.size: 759,21 kB