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Contributions to Game Theory and Management, 2013, Volume 6, Pages 338–350
(Mi cgtm130)
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On an Algorithm for Nash Equilibria Determination in the Informational Extended Bimatrix Games
Ludmila Novac Moldova State University,
Faculty of Mathematics and Computer Science,
Department of Applied Mathematics,
A. Mateevici, 60 str., Chisinau, 2009, Rep. of Moldova
Abstract:
The informational aspect for the non-cooperative games becomes an important element for the most of the make decision problems. In this article the informational extended games $_{1}\Gamma $ and $_{2}\Gamma $ are defined. For these informational extended bimatrix games we present two modes for construction of the extended matrices and an algorithm for determination of Nash equilibria. For this algorithm we make some modifications and present an algorithm for determination of Nash equilibria in the informational extended bimatrix games in the case, in which the dimensions of the matrices are too big. Using this algorithm we can also determine the number of Nash equilibria in the informational extended game, without using the extended matrices.
Keywords:
Informational extended bimatrix games, Nash equilibria, solution in pure strategies, extended matrices, algorithm of Nash equilibria determination.
Citation:
Ludmila Novac, “On an Algorithm for Nash Equilibria Determination in the Informational Extended Bimatrix Games”, Contributions to Game Theory and Management, 6 (2013), 338–350
Linking options:
https://www.mathnet.ru/eng/cgtm130 https://www.mathnet.ru/eng/cgtm/v6/p338
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Statistics & downloads: |
Abstract page: | 135 | Full-text PDF : | 73 | References: | 34 |
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