Abstract:
Multi-level generalization of the "attack-defense" model defined and worked out by Germayer U.B. is studied in the paper. The model is the modification of O. Gross model. A similar model was suggested by Gorelik V.A. for petrol production. The easiest expansion of the "attack-defense" model is suggested. It consists in the fact that defense of each center has multilevel structure but the efficiency of defense equipment doesn't depend on the level number. In these suggestions the game model is fully explored and the direct generalization of one-level model results on multi-level occasion was found. These results can be used for building up multi-level defense.
Keywords:
game "attack-defense", maximin strategy of attack, guaranteed attack result, minimax defense strategy, guaranteed defense result, game meaning, optimal mixed attack strategy, optimal net protection strategy.
Received: 15.05.2016 Revised: 20.09.2016
Bibliographic databases:
Document Type:
Article
UDC:519.6
Language: Russian
Citation:
A. G. Perevozchikov, V. Yu. Reshetov, T. G. Shapovalov, “Multi-level expansion of the model "attack-defense"”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 1, 57–69
\Bibitem{PerResSha17}
\by A.~G.~Perevozchikov, V.~Yu.~Reshetov, T.~G.~Shapovalov
\paper Multi-level expansion of the model "attack-defense"
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2017
\issue 1
\pages 57--69
\mathnet{http://mi.mathnet.ru/vtpmk123}
\crossref{https://doi.org/10.26456/vtpmk123}
\elib{https://elibrary.ru/item.asp?id=28786647}
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A. G. Perevozchikov, V. Yu. Reshetov, A. I. Lesik, “Model «napadenie-oborona» na setyakh s nachalnymi ostatkami resursov storon”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2021, no. 2, 68–81
V. V. Shumov, V. O. Korepanov, “Matematicheskie modeli boevykh i voennykh deistvii”, Kompyuternye issledovaniya i modelirovanie, 12:1 (2020), 217–242
V. V. Shumov, “Rasshirenie modeli «nastuplenie–oborona»”, Probl. upravl., 1 (2020), 59–70
A. G. Perevozchikov, V. Yu. Reshetov, A. I. Lesik, “Neodnorodnaya igra «napadenie-oborona» na osnove obobschennogo printsipa uravnivaniya”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2018, no. 1, 89–106
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