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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 1, Pages 42–51 (Mi zvmmf10658)

This article is cited 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

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.

UDC: 519.626

Received: 15.09.2016
Revised: 17.02.2017

DOI: 10.7868/S004446691801012X


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:1, 38–47

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© Steklov Math. Inst. of RAS, 2025