Partial differential equations versus cellular automata for modelling combat
For computational social science and military modeling, this work demonstrates that apparent intelligent agent behavior can be explained by simpler continuum models, but the contribution is incremental as it applies existing PDE methods to a known cellular automaton.
The authors show that simple PDEs can reproduce complex emergent behaviors of a cellular automaton wargame (ISAAC), replacing agent-based anthropomorphism with deterministic numerical approximations that capture mean behavior across scenarios.
We reproduce apparently complex cellular automaton behaviour with simple partial differential equations as developed in (Keane 09). Our PDE model easily explains behaviour observed in selected scenarios of the cellular automaton wargame ISAAC without resorting to anthropomorphisation 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 decentralised self-organisation and adaptation of tactics to suit a variety of combat situations.