Emergence of social inequality in the spatial harvesting of renewable public goods
Changes over time (measured in units of the reciprocal of the imitation rate) of the population distributions of (A) harvesting rates, (B) dispersal radii, and (C) per capita resource extraction rates, shown alongside the time-averaged population distributions of these quantities (averaged over the last 1,000 time units so as to exclude the initial transient, with the frequencies in the separate bins adding up to the number N of consumers). Brighter colors indicate higher frequencies, using a nonlinear color scale. The population starts with all consumers having identical strategies. As time progresses, social learning leads to the spontaneous emergence of two distinct strategies: a frugal sedentary strategy (labeled ‘S’) with a low harvesting rate and near-zero dispersal radius, and an overexploitative mobile strategy (labeled ‘M’) with a high harvesting rate and large dispersal radius. Parameter values are as shown in Table 1.