Winning a battle: The importance of knowing the "neighborhood"

We propose that a battle between two conflicting entities can be modeled as a kinematic problem on a lattice. We examine the parameters relevant to such simulations, and describe global patterns emerging from a lattice model of a conflict with a few simple rules. We conclude that models of this type display interesting and relevant properties and warrant more in-depth analysis. The focus in this work is on the role of knowledge of the "neighborhood" in winning a battle.