RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods

  • ISSN (Print) 0424-7388
  • ISSN (Online) 3034-6177

A NUMERICAL METHOD FOR SOLVING BIMATRIX GAMES

PII
S042473880000616-6-1
DOI
10.7868/S0000616-6-1
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 49 / Issue 4
Pages
94-104
Abstract

We propose a method for solving bimatrix games based on a search of a global minimum of the Nash function. Choosing one by one some initial pure strategies, the method finds an exact solution of the game, if the complementarity condition holds, or it gives an acceptable approaching to the set of Nash points. The numerical tests of the method identified its advantages and disadvantages.

Keywords
convex game, Nash point, Nash function, bimatrix game, pure strategy, mixed strategy, complementarity
Date of publication
01.10.2013
Year of publication
2013
Number of purchasers
1
Views
961

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Higher Attestation Commission

At the Ministry of Education and Science of the Russian Federation

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Scientific Electronic Library