Contributions to Game Theory and Management
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Contributions to Game Theory and Management, 2021, том 14, страницы 290–301
DOI: https://doi.org/10.21638/11701/spbu31.2021.21
(Mi cgtm403)
 

On the existence and determining stationary Nash equilibria for switching controller stochastic games

Dmitrii Lozovanua, Stefan Picklb

a Institute of Mathematics and Computer Science of Moldova Academy of Sciences, Academiei 5, Chisinau, MD-2028, Moldova
b Institute for Theoretical Computer Science, Mathematics and Operations Research, Universität der Bundeswehr München, 85577 Neubiberg-München, Germany
Список литературы:
Аннотация: 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.
Ключевые слова: stochastic game, switching control, stationary strategies, stationary Nash equilibrium.
Тип публикации: Статья
Язык публикации: английский
Образец цитирования: Dmitrii Lozovanu, Stefan Pickl, “On the existence and determining stationary Nash equilibria for switching controller stochastic games”, Contributions to Game Theory and Management, 14 (2021), 290–301
Цитирование в формате AMSBIB
\RBibitem{LozPic21}
\by Dmitrii~Lozovanu, Stefan~Pickl
\paper On the existence and determining stationary Nash equilibria for switching controller stochastic games
\jour Contributions to Game Theory and Management
\yr 2021
\vol 14
\pages 290--301
\mathnet{http://mi.mathnet.ru/cgtm403}
\crossref{https://doi.org/10.21638/11701/spbu31.2021.21}
Образцы ссылок на эту страницу:
  • https://www.mathnet.ru/rus/cgtm403
  • https://www.mathnet.ru/rus/cgtm/v14/p290
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