Fig. 5: Abundance plots for the eight strategies in a finite population.
All simulations begin with a population consisting of (H,H,1). The circular figures are pie-charts evolving over time (initial condition inside and time progresses outwards). The rings of the charts show the population composition (denoted by the different colours) as it changes through time. Transient: For different selection intensities the initial conditions are all the same - starting in a (H,H,1) population (the centres of the circles). With a mutation rate of μ = 10−3 new strategies appear and spread in the population. Every 20th time-step up to 1000 time-steps are plotted, from inside to outside. Full: Over time (5 × 106 time-steps) the population reaches stationarity. Every 1000th time-step is plotted. The final distribution of strategies (outermost layer of the circles) is collated in the bar-chart. Bottom: The final distribution of the strategies at time-step 5 × 106 is plotted as a stacked bar chart for the different section intensities. When selection intensity ω = 0 the dynamics is neutral and all the strategies evolve to similar abundances. When selection intensity is increased even slightly ω = 0.2 the population is made up predominantly of stag hunters. Note that it is not necessary that all stag hunter share the same inter-subjective reality. Parameters are N = 32, G = 5, M = 4, PS = 4 and PH = 1.
