title: On the Existence and Determining Stationary Nash Equilibria for Switching Controller Stochastic Games
metadata.name: dc.contributor.author
metadata.value: Lozovanu, Dmitrii
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Pickl, Stefan
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-11-29T20:35:09Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-11-29T20:35:09Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-10
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Lozovanu D., Pickl S. On the Existence and Determining Stationary Nash Equilibria for Switching Controller Stochastic Games. Contributions to Game Theory and Management, XIV, 290-301.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu31.2021.21
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33703
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper we consider the problem of the existence and determining
  stationary Nash equilibria for switching controller stochastic games
  with discounted and average payoffs. The set of states and the set of actions
  in the considered games are assumed to be finite. For a switching controller
  stochastic game with discounted payoffs we show that all stationary equilibria
  can be found by using an auxiliary continuous noncooperative static game
  in normal form in which the payoffs are quasi-monotonic (quasi-convex and
  quasi-concave) with respect to the corresponding strategies of the players.
  Based on this we propose an approach for determining the optimal stationary
  strategies of the players. In the case of average payoffs for a switching controller
  stochastic game we also formulate an auxiliary noncooperative static
  game in normal form with quasi-monotonic payoffs and show that such a
  game possesses a Nash equilibrium if the corresponding switching controller
  stochastic game has a stationary Nash equilibrium.
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: Stochastic game
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Switching control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Stationary strategies
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Stationary Nash equilibrium
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the Existence and Determining Stationary Nash Equilibria for Switching Controller Stochastic Games
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 290-301.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33703/1/290-301.pdf
resources.format: Adobe PDF
resources.size: 428,14 kB