Game theoretic campaign modeling and analysis

We address the modeling and analysis issues associated with a generic theater level campaign where two adversaries pit their military resources against each other over a long series of engagements. Specifically, we use the scenario of an air raid campaign using SEAD aircraft and bombers against enemy troops and air defence units. The problem is decomposed into a temporal and a spatial resource allocation problem. The temporal resource allocation problem is formulated as a multiple resource interaction problem in a game-theoretical framework and solved for linear attrition functions. The spatial resource allocation problem is posed as a risk minimization problem in which the two adversaries decide on the corridor of ingress and movement of the ground troops and air defence units. These two solutions are integrated using an aggregation/deaggregation approach to evaluate resource strengths and distribute losses.