DocumentCode
547266
Title
Bimatrix games in necessity space
Author
Li Cun-lin
Author_Institution
Sch. of Inf. & Comput. Sci., Beifang Univ. of Nat., Yinchuan, China
Volume
2
fYear
2011
fDate
10-12 June 2011
Firstpage
562
Lastpage
566
Abstract
A model fuzzy bi-matrix games is established in necessity space. Precisely, this article introduces the necessity measures and presentes the necessity space based on the axiom of the necessity measures. Fuzzy events are investigated and the expected value of the fuzzy variables is given in necessity space. Then, we establish an expected model of fuzzy bi-matrix games and define the expected value Nash equilibrium strategy for it. Furthermore, its Nash equilibrium strategy is found by solving a linear equation problem.
Keywords
fuzzy set theory; game theory; matrix algebra; Nash equilibrium; fuzzy bi-matrix games; fuzzy events; fuzzy variables; linear equation problem; necessity space; Equations; Extraterrestrial measurements; Fuzzy sets; Games; Manganese; Mathematical model; Nash equilibrium; (fuzzy) bi-matrix game; expected value Nash equilibrium strategy; necessity space;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location
Shanghai
Print_ISBN
978-1-4244-8727-1
Type
conf
DOI
10.1109/CSAE.2011.5952534
Filename
5952534
Link To Document