Nash strategies with distance discount factor in target selection problems

We consider a game theoretic approach for the task assignment problem associated with a team of semiautonomous unmanned aerial vehicles (UAVs) targeting a set of enemy ground units. A typical task would be to attack a unit or on the other side given a probability of kill of the UAV weapon against that unit. We introduce the concept of distance discount factor (DDF) to address the fact that targeting close but less significant units could be more rewarding than targeting far but more significant units. To illustrate the effect of the DDF on the target assignment process, we consider a simulation example, involving a team of UAVs engaged in battle with a group of surface to air missiles (SAMs). We illustrate and compare the simulation results with and without DDF using feedback control.