View source for EvoLudoLab: Spatial 2x2 Game - Dominance A

{{EvoLudoLab:2x2|
options="--module 2x2 --run --delay 200 --view 0 --timestep 1.0 --popsize 100x --popupdate async --playerupdate imitate --geometry m --interactions all --references r1 --inittype frequencies 5,995 --paymatrix 1,0.1;0.9,0 --traitnames A,B"|
title=Type A dominates|
doc=In well-mixed populations type \(A\) players dominate and take over the population irrespective of the initial configuration. Essentially the same happens in spatially structured populations.

In the case of by-product mutualism, the success of cooperation hinges on the presence of a sufficiently big cluster of cooperators. The required cluster size is small (often two adjacent cooperators are enough but depends on the payoffs and stochasticity of the update rules). It is also interesting to observe the difficulties in eliminating all defectors - increasing the stochasticity such that players occasionally switch to worse performing strategies would speed up that process.

The parameters above are set to \(R = 1, P = 0, T = 0.9\) and \(S = 0.1\) with players imitating better strategies proportional to the payoff difference on a 100×100 lattice with only 0.5% cooperators initially. With some small probability cooperators will go extinct. To reduce this risk, you can either increase the system size or the initial fraction of cooperators.}}

[[Category: Christoph Hauert]]