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A Symmetry of Fixation Times in Evoultionary Dynamics
(Elsevier, 2006)
In this paper, we show that for evolutionary dynamics between two types that can be described by a Moran process, the conditional fixation time of either type is the same irrespective of the selective scenario. With frequency ...
Evolutionary Game Dynamics in Finite Populations
(Springer Verlag, 2004)
We introduce a model of stochastic evolutionary game dynamics in finite populations which is similar to the familiar replicator dynamics for infinite populations. Our focus is on the conditions for selection favoring the ...
Quantifying the Evolutionary Dynamics of Language
(Nature Publishing Group, 2007)
Human language is based on grammatical rules. Cultural evolution allows these rules to change over time. Rules compete with each other: as new rules rise to prominence, old ones die away. To quantify the dynamics of language ...
Evolutionary Game Dynamics with Non-Uniform Interaction Rates
(Elsevier, 2006)
The classical setting of evolutionary game theory, the replicator equation, assumes uniform interaction rates. The rate at which individuals meet and interact is independent of their strategies. Here we extend this framework ...