Evolutionary games and quasispecies

Details Evolutionary games and quasispecies Evolutionary games and quasispecies

2002-09-04

arxiv.org/abs/cond-mat/0209086v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 2 figures. Typos corrected, references updated. An exact solution for the hawks-dove game is provided

Scientific paper

10.1209/epl/i2003-00416-x

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.

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