Model of rank recognition reflection of the enemy in the tasks of countering

Basic mathematical decision models based on the decision of some tasks of optimization in the assumption of rationality of participants. Actors seek to anticipate the opponent's choice of interaction and choose the best response to it. Within mathematical logic, this task is a task recognition with presence of classifying signs to determine the rank of the reflection of participants during the conflict. In this paper, we consider a mathematical model based on apparatus of mathematical logic for determining the rank of reflection of the enemy in the tasks of countering.