An Allocation Problem of Support Fire in Combat as a Differential Game

This paper analyzes as a differential game the problem of allocating support fire between two different targets (the enemy primary units and support units) in a combat. It assumes that the game begins when one side's primary units start the advance on the enemy, and that the game ends when they come in contact with the enemy primary units. The paper also examines the relation between the value of the game and its duration.