Title :
The discussion of applications of the fuzzy average to matrix game theory
Author_Institution :
Software Eng. Dept., THALES CANADA, Toronto, ON, Canada
fDate :
April 29 2012-May 2 2012
Abstract :
This paper indicates that the fuzzy average has at least a maximum value if it is differentiable. It is also described that the fuzzy average is identical to the average payoff when mixed strategies and game matrix are replaced with the membership functions of fuzzy sets and the consequence matrix respectively. A new algorithm of finding Nash equilibria of two-person zero-sum game is introduced.
Keywords :
differential equations; fuzzy set theory; game theory; matrix algebra; Nash equilibria; average payoff; consequence matrix; differential equations; fuzzy average; fuzzy sets; matrix game theory; maximum value; membership functions; mixed strategies; two-person zero-sum game; Algorithm design and analysis; Finite element methods; Fuzzy sets; Games; Nash equilibrium; Pragmatics; L-R fuzzy number; Nash equilibrium; Two-person zero-sum game; consequence matrix; mixed strategy; pivot method; the fuzzy average; weighted matrix;
Conference_Titel :
Electrical & Computer Engineering (CCECE), 2012 25th IEEE Canadian Conference on
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4673-1431-2
Electronic_ISBN :
0840-7789
DOI :
10.1109/CCECE.2012.6334977
