TITLE

Polymatrix games and optimization problems

AUTHOR(S)
Strekalovskii, A.; Enkhbat, R.
PUB. DATE
April 2014
SOURCE
Automation & Remote Control;Apr2014, Vol. 75 Issue 4, p632
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Consideration was given to the properties of the polymatrix game, a finite noncooperative game of N players ( N ⩾ 3). A theorem of reduction of the search for Nash equilibria to an optimization problem was proved. This clears the way to the numerical search of equilibria. Additionally, a simple proof of the Nash theorem of existence of equilibrium in the polymatrix game was given using the theorem of existence of solution in the optimization problem.
ACCESSION #
95593833

 

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