RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods

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

ON THE MONOTONE OF THE DISPLAY RELATED TO THE NON-ANTAGONISTIC PLAY OF TWO PERSONS

PII
S042473880000616-6-1
DOI
10.7868/S0000616-6-1
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume / Issue №4
Pages
102-108
Abstract
We consider a two$person game and an associated mapping which in its turn generates a variational inequality problem. The problem of finding the Nash points of the game is reduced to the solution of the above-mentioned inequality. However the mapping thus related to a non-antagonistic game need not be monotone, where as the standard numerical methods to solve variational inequality problems work well when the mapping in question is monotone. In our research we have revealed a series of classes of non-antagonistic two-person games which associated mappings generating the corresponding variational inequality problem, are monotone.
Keywords
Date of publication
01.10.2008
Year of publication
2008
Number of purchasers
2
Views
868

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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