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
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;
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
DOI :
10.1109/ISME.2010.226
