On the study of artillery counterbattery combat in the form of a matrix game

In modern warfare, it is useful for both sides to have objective evaluations of the degree of success in achieving their objectives and to optimize them. This situation is closest to the mathematical model of zero-sum matrix games, when in any case one participant should lose no more than the guaranteed value and the other should win no more than the same value. These conditions serve as the basis for the conducted research. The optimal strategies for each side are found, showing the probability with which they should take different actions in an unexpected way for the opponent. The proposed model is sufficiently adequate to the studied problem and allows, under certain assumptions, to obtain quantitative recommendations for optimizing the actions of the participants of an artillery duel.