**Brave New World of Dynamical Pattern Formation** Typical patterns for different efficiency of the public good \(r\) and ratios of the diffusion coefficients. For \(r > r_\text{Hopf}\) the co-existence equilibrium is stable and unstable otherwise, i.e. the population would invariably disappear in the absence of spatial extension. The spatial dynamics can be categorized into different kinds of pattern formation processes: homogenous distributions (yellow frame), diffusion induced instability - Turing patterns (green), diffusion induced co-existence (red), spatio-temporal chaos (blue) and extinction (black).