Numerically-analytical solution of problem gaming confrontation hardware-redundant dynamic system with the enemy operating in conditions of incomplete information about the behavior of participants in the game

Abstract

The mathematical model of a game task in which conflicting parties act and make decisions in conditions of incomplete information about the behavior of participants in the game. The attacked side has a hardware-redundant dynamic system, which is not only resource of protection from enemy attacks, but also the resources of the active influence on the probability of finding an attacker in the appropriate States of the attack. It is believed that the behavior of warring parties approximarely Markov process. The solution of the considered differential game is reduced to a multi-step matrix game and its sequential solution at intervals of discretization with constant average probabilities of finding the attacker on these intervals. When solving a problem use numerical and analytical methods.