Fuzzy Random Bimatrix Games Based on Possibility and Necessity Measures

In this study, we formulate bimatrix games with fuzzy random payoffs, and introduce equilibrium solution concepts based on possibility and necessity measures. It is assumed that each player has linear fuzzy goals for his/her payoff. To obtain equilibrium solutions based on the possibility and necess...

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Bibliographic Details
Published inJournal of advanced computational intelligence and intelligent informatics Vol. 25; no. 6; pp. 1024 - 1030
Main Author Yano, Hitoshi
Format Journal Article
LanguageEnglish
Published Tokyo Fuji Technology Press Co. Ltd 01.11.2021
Subjects
Algorithms
Equilibrium
Equilibrium conditions
Games
Quadratic programming
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Summary:In this study, we formulate bimatrix games with fuzzy random payoffs, and introduce equilibrium solution concepts based on possibility and necessity measures. It is assumed that each player has linear fuzzy goals for his/her payoff. To obtain equilibrium solutions based on the possibility and necessity measures, we propose two algorithms in which quadratic programming problems are solved repeatedly until equilibrium conditions are satisfied.
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ISSN:1343-0130
1883-8014
DOI:10.20965/jaciii.2021.p1024