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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 1, Pages 42–51
DOI: https://doi.org/10.7868/S004446691801012X (Mi zvmmf10658) 		 
This article is cited in 4 scientific papers (total in 4 papers)

An attack-defense model with inhomogeneous resources of the opponents

A. G. Perevozchikova, V. Yu. Reshetovb, I. E. Yanochkina

a RusBitekh-Tver’, Center for Complex System Modeling, Tver’, Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.7868/S004446691801012X
Abstract: Germeier’s attack-defense model is generalized by taking into account the inhomogeneity of the defense resources. It is based on Germeier’s generalized equalization principle, which in the general case of inhomogeneous resources leads to convex constrained minimax problems, which can be solved using the subgradient ascent method.
Key words: Gross model, Germeier model, generalized equalization principle, inhomogeneous resources of the players, target assignment based on the classical Hitchcock problem, the best guaranteed defense result, minimax defense strategy, mixed attack strategy.
Received: 15.09.2016
Revised: 17.02.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 1, Pages 38–47
DOI: https://doi.org/10.1134/S0965542518010116
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. G. Perevozchikov, V. Yu. Reshetov, I. E. Yanochkin, “An attack-defense model with inhomogeneous resources of the opponents”, Zh. Vychisl. Mat. Mat. Fiz., 58:1 (2018), 42–51; Comput. Math. Math. Phys., 58:1 (2018), 38–47
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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