Fuzzy Random Bimatrix Games Based on Possibility and Necessity Measures

Author:

Yano Hitoshi,

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.

Publisher

Fuji Technology Press Ltd.

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Human-Computer Interaction

Reference21 articles.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Nash Equilibrium in Fuzzy Random Bi-Matrix Games;International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems;2023-12

2. Computing mixed NE in bimatrix games in randomized polynomial time;Soft Computing;2023-08-03

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