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.

UDC: 519.83

Received: 02.04.2019
Revised: 26.08.2019

DOI: 10.4213/mzm12400

 English version: Mathematical Notes, 2020, 107:4, 679–686

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