Extrapolating Weak Selection in Evolutionary Games
Figure 3
Number of changes in the abundance ranking of strategies in games.
A Illustration of a particular game where selection curves intersect times, giving rise to
different rankings (from right to left population sizes
– thick lines,
,
,
–thinner lines). B Statistics over the number of rank changes in games with randomly drawn payoff entries. At least one rank change is obtained in about one quarter of random games. The frequency of
rank changes decreases approximately exponentially with
. As an imitation function, we used the Fermi function
. Parameters: Uniform distribution with payoff values in (0,1), Gaussian distribution with mean 0 and variance 1, frequencies obtained by averaging over
independent samples.