DocumentCode
2077181
Title
The Minimax Principle of Non-cooperative Games with Fuzzy Payoffs
Author
Sun Yan ; Li Cun-lin
Author_Institution
Sch. of Manage., Lanzhou Univ., Lanzhou, China
Volume
1
fYear
2010
fDate
7-8 Aug. 2010
Firstpage
390
Lastpage
394
Abstract
The non-cooperative games are investigated in uncertainty environment. We established an operator to maximize fuzzy variables based on the extension principle, namely, Fmax operator. Then, the Nash equilibrium strategy of fuzzy model was given by introducing the fuzzy max order and the fuzzy max operator. Furthermore, some useful conclusions in crisp game theory were generalized to non-symmetrical fuzzy environment and the fuzzy “minimax principle” was given.
Keywords
fuzzy set theory; game theory; minimax techniques; Fmax operator; Nash equilibrium strategy; crisp game theory; extension principle; fuzzy max operator; fuzzy max order; fuzzy payoffs; maximize fuzzy variables; minimax principle; noncooperative games; nonsymmetrical fuzzy environment; uncertainty environment; Biological system modeling; Games; Level set; Manganese; Nash equilibrium; Silicon; Uncertainty; (Fuzzy) Two-person zero-sum game; Extension principle; Minimax Principle;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Management Engineering (ISME), 2010 International Conference of
Conference_Location
Xi´an
Print_ISBN
978-1-4244-7669-5
Electronic_ISBN
978-1-4244-7670-1
Type
conf
DOI
10.1109/ISME.2010.226
Filename
5572276
Link To Document