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Numerical Computation of Nash Equilibria in Finite Games
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- SHIBA Naoki
- College of Industrial Technology, Nihon University
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- GOTO Masaki
- WithOne Company Limited
Bibliographic Information
- Other Title
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- 有限ゲームにおけるナッシュ均衡の数値的解法
Description
This paper presents a method for numerical computation of Nash equilibria in finite games with more than 3 x 3 bimatrix. An analytical method for finding Nash equilibria for 2 x 2 bimatrix game is well-know, and Shapley's labeling method was presented for 3 x 3 bimatrix games. However, the labeling method is so complicated that it can not be applied for more than 3 x 3 games in general. In this paper, we implemented the labeling method on computers and succeeded in identifying Nash equilibria for any 3 x 3 bimatrix game numerically within a fairly short time and with practically-enough precision. Using this method it's possible to find equilibria in more than 3 x 3 bimatrix games.
Journal
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- Abstracts of Annual Conference of Japan Society for Management Information
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Abstracts of Annual Conference of Japan Society for Management Information 2009s (0), 32-32, 2009
THE JAPAN SOCIETY FOR MANAGEMENT INFORMATION (JASMIN)
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Details 詳細情報について
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- CRID
- 1390001205710508032
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- NII Article ID
- 130005049374
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- Text Lang
- ja
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- Data Source
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- JaLC
- CiNii Articles
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- Abstract License Flag
- Disallowed