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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Vydáno v:Journal of advanced computational intelligence and intelligent informatics Ročník 25; číslo 6; s. 1024 - 1030
Hlavní autor: Yano, Hitoshi
Médium: Journal Article
Jazyk:angličtina
Vydáno: Tokyo Fuji Technology Press Co. Ltd 01.11.2021
Témata:
Algorithms
Equilibrium
Equilibrium conditions
Games
Quadratic programming
ISSN:1343-0130, 1883-8014
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:1343-0130
1883-8014
DOI:10.20965/jaciii.2021.p1024