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JACIII Vol.25 No.6 pp. 1024-1030
doi: 10.20965/jaciii.2021.p1024
(2021)

Paper:

# Fuzzy Random Bimatrix Games Based on Possibility and Necessity Measures

## Hitoshi Yano

Graduate School of Humanities and Social Sciences, Nagoya City University
1 Yamanohata, Mizuho-cho, Mizuho-ku, Nagoya, Aichi 467-8501, Japan

June 22, 2021
Accepted:
September 17, 2021
Published:
November 20, 2021
Keywords:
bimatrix games, fuzzy random variables, expectation model, possibility measure, necessity measure
Abstract

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.

H. Yano, “Fuzzy Random Bimatrix Games Based on Possibility and Necessity Measures,” J. Adv. Comput. Intell. Intell. Inform., Vol.25 No.6, pp. 1024-1030, 2021.
Data files:
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