Paladins as predators: Invasive waves in a spatial evolutionary adversarial game

Invasive waves are found in a novel variant of a reaction-diffusion system used to extend an evolutionary adversarial game into space wherein the influence of various strategies is allowed to diffuse. The waves are driven by a nonlinear instability that enables an otherwise unstable informant state to travel through an initially uncooperative state leaving a cooperative state behind. The wave speed’s dependence on the various diffusion parameters is examined in one and two dimensions. Various other phenomena, such as pinning near a diffusive inhomogeneity, are also explored.