Evolutionary games and quasispecies
arXiv:cond-mat/0209086 · doi:10.1209/epl/i2003-00416-x
Abstract
We discuss a population of sequences subject to mutations and frequency-dependent selection, where the fitness of a sequence depends on the composition of the entire population. This type of dynamics is crucial to understand the evolution of genomic regulation. Mathematically, it takes the form of a reaction-diffusion problem that is nonlinear in the population state. In our model system, the fitness is determined by a simple mathematical game, the hawk-dove game. The stationary population distribution is found to be a quasispecies with properties different from those which hold in fixed fitness landscapes.
7 pages, 2 figures. Typos corrected, references updated. An exact solution for the hawks-dove game is provided