Browsing Faculty of Arts and Sciences by Keyword "finite populations"
Now showing items 1-7 of 7
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Exploration Dynamics in Evolutionary Games
(National Academy of Sciences, 2009)Evolutionary game theory describes systems where individual success is based on the interaction with others. We consider a system in which players unconditionally imitate more successful strategies but sometimes also explore ... -
The Fastest Evolutionary Trajectory
(Elsevier, 2007)Given two mutants, A and B, separated by n mutational steps, what is the evolutionary trajectory which allows a homogeneous population of A to reach B in the shortest time? We show that the optimum evolutionary trajectory ... -
Mutation-Selection Equilibrium in Games with Multiple Strategies
(Elsevier, 2009)In evolutionary games the fitness of individuals is not constant but depends on the relative abundance of the various strategies in the population. Here we study general games among n strategies in populations of large but ... -
The Pace of Evolution Across Fitness Valleys
(Elsevier, 2009)How fast does a population evolve from one fitness peak to another? We study the dynamics of evolving, asexually reproducing populations in which a certain number of mutations jointly confer a fitness advantage. We consider ... -
Pairwise Comparison and Selection Temperature in Evolutionary Game Dynamics
(Elsevier, 2007)Recently, the frequency-dependent Moran process has been introduced in order to describe evolutionary game dynamics in finite populations. Here, an alternative to this process is investigated that is based on pairwise ... -
Strategy Abundance in 2×2 Games for Arbitrary Mutation Rates
(Elsevier, 2009)We study evolutionary game dynamics in a well-mixed populations of finite size, N. A well-mixed population means that any two individuals are equally likely to interact. In particular we consider the average abundances of ... -
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 ...