Geodesic
On an Algorithm for Nash Equilibria Determination in the Informational Extended Bimatrix Games
Contributions to game theory and management, Tome 6 (2013), pp. 338-350 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{CGTM_2013_6_a25,
     author = {Ludmila Novac},
     title = {On an {Algorithm} for {Nash} {Equilibria} {Determination} in the {Informational} {Extended} {Bimatrix} {Games}},
     journal = {Contributions to game theory and management},
     pages = {338--350},
     year = {2013},
     volume = {6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2013_6_a25/}
}
TY  - JOUR
AU  - Ludmila Novac
TI  - On an Algorithm for Nash Equilibria Determination in the Informational Extended Bimatrix Games
JO  - Contributions to game theory and management
PY  - 2013
SP  - 338
EP  - 350
VL  - 6
UR  - http://geodesic.mathdoc.fr/item/CGTM_2013_6_a25/
LA  - en
ID  - CGTM_2013_6_a25
ER  - 
%0 Journal Article
%A Ludmila Novac
%T On an Algorithm for Nash Equilibria Determination in the Informational Extended Bimatrix Games
%J Contributions to game theory and management
%D 2013
%P 338-350
%V 6
%U http://geodesic.mathdoc.fr/item/CGTM_2013_6_a25/
%G en
%F CGTM_2013_6_a25
Ludmila Novac. On an Algorithm for Nash Equilibria Determination in the Informational Extended Bimatrix Games. Contributions to game theory and management, Tome 6 (2013), pp. 338-350. http://geodesic.mathdoc.fr/item/CGTM_2013_6_a25/

[1] Kukushkin N. S., Morozov V. V., Teoria neantagonisticeskih igr, M., 1984, 46–51 (russian)

[2] Hâncu B., Novac L., “Informational aspects in the Game Theory”, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, 3 (2005), 25–34

[3] Novac L., “Informational extended games”, Second conference of the Matemathical Society of the Rep. of Moldova, Dedicated to the 40th Annyv. of the found. of the Instit. of Math. and Comp. Science of ASM, Communications, Chishinau, 2004, 232–234

[4] Novac L., Informational extensions in the game theory, Ph. D. thesis, USM, Chisinau, 2009, 41–69 (rom)