%0 Journal Article
%T Replicators in Fine-grained Environment: Adaptation and Polymorphism
%A Armen E. Allahverdyan
%A Chin-Kun Hu
%J Quantitative Biology
%D 2009
%I arXiv
%R 10.1103/PhysRevLett.102.058102
%X Selection in a time-periodic environment is modeled via the two-player replicator dynamics. For sufficiently fast environmental changes, this is reduced to a multi-player replicator dynamics in a constant environment. The two-player terms correspond to the time-averaged payoffs, while the three and four-player terms arise from the adaptation of the morphs to their varying environment. Such multi-player (adaptive) terms can induce a stable polymorphism. The establishment of the polymorphism in partnership games [genetic selection] is accompanied by decreasing mean fitness of the population.
%U http://arxiv.org/abs/0905.3297v1