Determining Nash Equilibria for Stochastic Positional Games with Discounted Payoffs

Lozovanu Dmitrii; Pickl Stefan Wolfgang

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LOZOVANU, Dmitrii, PICKL, Stefan Wolfgang. Determining Nash Equilibria for Stochastic Positional Games with Discounted Payoffs. In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Ed. 5, 25-27 octombrie 2017, Luxembourg. Dusseldorf, Germania: Springer Verlag, 2017, Vol. 10576 Ed. a 5-a, pp. 339-343. ISBN 978-331967503-9. ISSN 03029743. DOI: 10.1007/978-3-319-67504-6_24

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Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Vol. 10576 Ed. a 5-a, 2017

Conferința "5th International Conference on Algorithmic Decision Theory"
5, Luxembourg, Luxemburg, 25-27 octombrie 2017

Determining Nash Equilibria for Stochastic Positional Games with Discounted Payoffs

DOI: https://doi.org/10.1007/978-3-319-67504-6_24

Pag. 339-343

Lozovanu Dmitrii¹, Pickl Stefan Wolfgang²

¹ Institute of Mathematics and Computer Science ASM,
² Institut für Theoretische Informatik, Mathematik und Operations Research

Disponibil în IBN: 12 februarie 2023

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A class of discounted stochastic games is formulated and studied by applying the concept of positional games to Markov decision processes with expected total discounted reward criteria. Existence results of pure and mixed stationary Nash equilibria for the considered class of discounted stochastic positional games are presented and an approach for determining the optimal strategies of the players is proposed.

Cuvinte-cheie
discounted payoffs, Nash equilibrium, Stationary strategy, Stochastic positional game

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