Am I the only one who is reminded of game theory reading this post. In fact it basically sounds like given a set of agents engaged in competitive behavior how does "information" (however you define it, which I think others are right to ask for clarification) effect the likely outcome? Though I am confused by the overly simple military examples. I would wonder if one could find a simpler system to use? I also am confused about what general principles with this system of derived inequalities you want to find?