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ON THE MONOTONE OF THE DISPLAY RELATED TO THE NON-ANTAGONISTIC PLAY OF TWO PERSONS
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ON THE MONOTONE OF THE DISPLAY RELATED TO THE NON-ANTAGONISTIC PLAY OF TWO PERSONS
Annotation
PII
S042473880000616-6-1
Publication type
Article
Status
Published
Authors
Evgeny Golshtein 
Edition
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.
Date of publication
01.10.2008
Number of purchasers
2
Views
825
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Additional sources and materials

Gol'shtejn E.G. (2002): Metod resheniya variatsionnykh neravenstv, opredelyaemykh monotonnymi otobrazheniyami // Zhurnal vychislitel'noj mat. i mat. fiziki. T. 42. № 7.
 Gol'shtejn E.G. (2008): Metod resheniya variatsionnykh neravenstv, ispol'zuyuschij netochnye iskhodnye dannye // Ehkonomika i mat. metody. T. 44. Vyp. 3.

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