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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Veröffentlicht in:Journal of advanced computational intelligence and intelligent informatics Jg. 25; H. 6; S. 1024 - 1030
1. Verfasser: Yano, Hitoshi
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Tokyo Fuji Technology Press Co. Ltd 01.11.2021
Schlagworte:
Algorithms
Equilibrium
Equilibrium conditions
Games
Quadratic programming
ISSN:1343-0130, 1883-8014
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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.
AbstractList 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.
Author Yano, Hitoshi
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Cites_doi 10.1016/0165-0114(89)90260-1
10.20965/jaciii.2018.p0359
10.1007/s10700-012-9145-6
10.1016/j.fss.2009.02.026
10.1016/S0165-0114(02)00509-2
10.1109/ISME.2010.192
10.1016/j.fss.2020.03.001
10.1007/s00500-018-03715-4
10.1109/SCISISIS50064.2020.9322753
10.1016/0022-247X(86)90093-4
10.1016/j.procs.2020.08.055
10.1007/978-1-4614-9399-0
10.1016/0020-0255(81)90017-7
10.1109/CSAE.2011.5952534
10.1016/0020-0255(78)90019-1
10.1016/S0165-0114(03)00260-4
10.1006/jmaa.2000.7142
10.1016/0165-0114(92)90189-B
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CorporateAuthor Graduate School of Humanities and Social Sciences, Nagoya City University 1 Yamanohata, Mizuho-cho, Mizuho-ku, Nagoya, Aichi 467-8501, Japan
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SubjectTerms Algorithms
Equilibrium
Equilibrium conditions
Games
Quadratic programming
Title Fuzzy Random Bimatrix Games Based on Possibility and Necessity Measures
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