A dynamic model for C_x001B_p3_x001B_s information incorporating the effects of counter C_x001B_p3_x001B_s

Abstract

A dynamic model is proposed for Cﾳ information that explicitly incorporates effects of counter-Cﾳ activities. The model assumes an inevitable growth of uncertainty inherent in military situations that is only counteracted by continuously importing new information into the system. Counter-Cﾳ activities are modeled as additional growth terms in uncertaintly that depend on the instantaneous knowledge of both sides. It is shown for this model the relative shift of system equilibrium is directly proportional to the ratio of the counter-Cﾳ coupling coefficient to the system's natural uncertainty (entropy) growth rate. Furthermore, it is shown that small perturbations from the stable equilibrium are restored to equilibrium by the system forces, i.e. the sytem is ultrastable. However, a perturbation of entropy of one side, induces a delayed perturbation of entropy on the other side with opposite sign. Thus, if X becomes fortuitously more knowledgeable by chance, Y will in turn, some time later, become more uncertain