ON CHARACTERIZATION OF EQUILIBRIUM STRATEGY FOR MATRIX GAMES WITH L-R FUZZY PAYOFFS

Masamichi Kon

doi:10.15807/jorsj.64.158

Masamichi Kon

著者情報

キーワード: Game theory, two-person zero-sum game, L-R fuzzy number, fuzzy max order, non-dominated minimax equilibrium strategy, weak non-dominated minimax equilibrium strategy

ジャーナルフリー

2021 年 64 巻 3 号 p. 158-174

DOI https://doi.org/10.15807/jorsj.64.158

詳細

抄録

In this paper, we consider fuzzy matrix games, namely, two-person zero-sum games with fuzzy payoffs. For such games, we define three kinds of concepts of minimax equilibrium strategies based on fuzzy max order, and their properties are investigated. Then, these minimax equilibrium strategies are characterized as Nash equilibrium strategies of a family of parametric bi-matrix games with crisp payoffs, where ecrisp’ means enon-fuzzy’. Moreover, numerical examples are presented to illustrate utility of the obtained results.

責任著者(Corresponding author)

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