Partial Differential Equations versus Cellular Automata for Modeling Combat

摘要

We reproduce apparently complex cellular automaton behaviour with partial differential equations as developed in the author's previous work. Our partial differential equation (PDE) model easily explains behaviour observed in selected scenarios of the cellular automaton wargame ISAAC without resorting to anthropomorphization of autonomous 'agents'. The insinuation that agents have a reasoning and planning ability is replaced with a deterministic numerical approximation which encapsulates basic motivational factors and demonstrates a variety of spatial behaviours approximating the mean behaviour of the ISAAC scenarios. All scenarios presented here highlight the dangers associated with attributing intelligent reasoning to behaviour shown, when this can be explained quite simply through the effects of the terms in our equations. A continuum of forces is able to behave in a manner similar to a collection of individual autonomous agents, and shows decentralized self-organization and adaptation of tactics to suit a variety of combat situations.