Geodesic
Multi-level expansion of the model "attack-defense"
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2017), pp. 57-69 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. G. Perevozchikov; V. Yu. Reshetov; T. G. Shapovalov. Multi-level expansion of the model "attack-defense". Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2017), pp. 57-69. http://geodesic.mathdoc.fr/item/VTPMK_2017_1_a4/

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