Non-diffusive spatial patterns in evolutionary games
Evolutionary game theory involves introducing time into classical game theory, and can be considered in the context of populations playing against each other and changing strategies. Spatial degrees of freedom are typically included into these strategy evolution equations by adding diffusion terms. I will discuss a more recent development, with roots in ecological modeling: non-diffusive fluxes, which depend explicitly on the payoff matrix. Numerical and analytic studies of pattern dynamics will be presented, including 1D travelling wave solutions and 2D spiral wave patterns, for games such as prisoner's dilemma as well as cyclic games such as rock-paper-scissors.