Correlated equilibrium of games in fuzzy environment

摘要

In this paper, we introduce the notion of fuzzy correlated equilibrium in bimatrix games, where the payoffs of the players are given by fuzzy numbers. The correlated equilibrium is a generalization of Nash equilibrium, i.e. every Nash equilibrium is correlated equilibrium, this basic relationship is satisfied even between the fuzzy Nash and fuzzy correlated equilibria, if the ranking method is an incomplete preference preorder. We obtain some sufficient conditions for the existence of the fuzzy correlated equilibrium, and we show that there exist fuzzy games which have fuzzy correlated equilibrium, but have no fuzzy Nash equilibrium point. (C) 2020 Elsevier B.V. All rights reserved.