Display Abstract

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

Name Scott McCalla
Country USA
Email smccalla@ucla.edu
Co-Author(s)
Submit Time 2012-03-06 18:14:54
Session
Special Session 3: Mathematics of Social Systems
Contents
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.