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Existence of Equilibrium Strategies in Fuzzy Stochastic Games with Finite Sets of States and Decisions
A. S. Shvedov National Research University "Higher School of Economics", Moscow
Abstract:
Noncooperative discounted stochastic $n$-person games are considered; the payoffs at each step are represented by trapezoidal fuzzy numbers. The existence of stationary Nash equilibrium strategies is proved.
Keywords:
fuzzy set, stochastic games, equilibrium strategy.
Received: 02.04.2019 Revised: 26.08.2019
Citation:
A. S. Shvedov, “Existence of Equilibrium Strategies in Fuzzy Stochastic Games with Finite Sets of States and Decisions”, Mat. Zametki, 107:4 (2020), 623–632; Math. Notes, 107:4 (2020), 679–686
Linking options:
https://www.mathnet.ru/eng/mzm12400https://doi.org/10.4213/mzm12400 https://www.mathnet.ru/eng/mzm/v107/i4/p623
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