Passive vs. aggressive strategies: A game theoretic analysis of military defense

This paper describes a basic passive vs. aggressive defense model, and analyzes it in terms of defense strategies against an intelligent enemy. In response to varying combinations of passive and aggressive defense, we assume that the enemy can up- or down-regulate recruitment activity. This leads to a differential game formulation of battle scenarios that we analyze for a warfare situation. Specifically, we consider military counterterrorist activities in a civilian population. Simulation results, including uncertainty and sensitivity analyses, are provided to demonstrate the benefits and limitations of the proposed model in terms of understanding army defense plans.