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Mat. Teor. Igr Pril., 2021, Volume 13, Issue 2, Pages 80–117 (Mi mgta282)  

Game-theoretic models of battle action

Vladislav V. Shumova, Vsevolod O. Korepanovb

a International Research Institute for Advanced Systems
b V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences

Abstract: The main types of combined arms combat operations are offensive and defense. Using the function of victory in battle, which is an extension of the function of conflict by G. Tullock, the following game-theoretic problems have been solved. First, the extended Gross-Germeier "attack-defense" model, which is a special case of a more general "offensive-defense" model, and describing the solution by the parties of the nearest tactical tasks, is investigated. Secondly, it has been proved that in the problem of breaking through points of defense (the closest tactical task), the criteria “breaking through the weakest point” and “breaking through at least one point” are equivalent. Thirdly, in the model of resource distribution of attackers and defenders between tactical tasks (echelons), the use of two criteria: 1) the product of the probabilities of solving the nearest and subsequent tactical tasks, 2) the minimum value of the named probabilities, – gives two fundamentally different solutions. Fourthly, the results of decisions were checked for compliance with the principles of military art and the practice of battles, battles and operations.

Keywords: probabilistic model, combined arms battle, offensive, defense, resource distribution between points and tactical tasks, decision making in conditions of uncertainty.

Funding Agency Grant Number
Russian Science Foundation 16-19-10609


Full text: PDF file (241 kB)
References: PDF file   HTML file
UDC: 519.876.2
BBK: 22.18
Received: 04.03.2020
Revised: 05.12.2021
Accepted:01.03.2021

Citation: Vladislav V. Shumov, Vsevolod O. Korepanov, “Game-theoretic models of battle action”, Mat. Teor. Igr Pril., 13:2 (2021), 80–117

Citation in format AMSBIB
\Bibitem{ShuKor21}
\by Vladislav~V.~Shumov, Vsevolod~O.~Korepanov
\paper Game-theoretic models of battle action
\jour Mat. Teor. Igr Pril.
\yr 2021
\vol 13
\issue 2
\pages 80--117
\mathnet{http://mi.mathnet.ru/mgta282}


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