Cellular automata are a class of spatially and temporally discrete mathematical systems characterized by local interaction and synchronous dynamical evolution. Introduced by the mathematician John von Neumann in the 1950s as simple models of biological self-reproduction, they are prototypical models for complex systems and processes consisting of a large number of simple, homogeneous, locally interacting components. Cellular automata have been the focus of great attention over the years because of their ability to generate a rich spectrum of very complex patterns of behaviour out of sets of...

Military conflicts, particularly land combat, possess all of the key attributes of complex adaptive systems: combat forces are composed of many nonlinearly interacting parts and are organized in a dynamic command-and-control hierarchy; local action, which often appears disordered, self-organizes into long-range order; military conflicts, by their nature, proceed far from equilibrium; military forces adapt to a changing combat environment; and there is no master "voice" that dictates the actions of every soldier (i.e., battlefield action is decentralized). Nonetheless, most modern "state of...