NDLI: Numerical Computation for Identifying Nash Equilibria Using Shapley's Labeling Method

Content Provider	IEEE Xplore Digital Library
Author	Shiba, N.
Copyright Year	2009
Abstract	This paper proposes a method to find equilibria approximately using Shapley's labeling method for 2-person bimatrix games. It is well known fact that n-person finite games in strategic forms always have equilibria (Nash equilibria) in mixed strategies. A method for identifying equilibria is well-known for 2-person games with 2 x 2 bimatrices. Furthermore, the Shapley's label method is famous for games with more strategies. He presented a graphical method so called "Shapley's labeling method" which draws a diagram called "label diagram". However, drawing a label diagram for n x m bimatrix games is a complicated task, and it's not easy to find equilibria in the procedural way. The implemented program can calculate all equilibria for any 3 x 3 bimatrix games in less than 1 second, and for any 4 x 4 games in about less than 20 minutes on ordinary available PCs.
Starting Page	1118
Ending Page	1121
File Size	149842
Page Count	4
File Format	PDF
ISBN	9781424455430
e-ISBN	9781424455447
DOI	10.1109/ICICIC.2009.280
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-07
Publisher Place	Taiwan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Shape control Industrial control Educational institutions Computer industry Probability distribution Labeling Personal communication networks Toy industry
Content Type	Text
Resource Type	Article

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