Evolutionary game theory in growing populations

Details Evolutionary game theory in growing populations Evolutionary game theory in growing populations

2010-10-19

arxiv.org/abs/1010.3845v1

Phys. Rev. Lett. 105, 178101 (2010)

Biology

Quantitative Biology

Populations and Evolution

4 pages, 2 figures and 2 pages supplementary information

Scientific paper

10.1103/PhysRevLett.105.178101

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model which combines the growth dynamics of the population and its internal evolution. Our model thereby accounts for the fact that both evolutionary and growth dynamics are based on individual reproduction events and hence are highly coupled and stochastic in nature. We exemplify our approach by studying the dilemma of cooperation in growing populations and show that genuinely stochastic events can ease the dilemma by leading to a transient but robust increase in cooperation

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