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Nongaussian fluctuations arising from finite populations: Exact results for the evolutionary Moran process
Jens Christian Claussen, Arne Traulsen
The appropriate description of fluctuations within the framework of evolutionary game theory is a fundamental unsolved problem in the case of finite populations. The Moran process…
Coevolutionary Dynamics: From Finite to Infinite Populations
Arne Traulsen, Jens Christian Claussen, Christoph Hauert
Traditionally, frequency dependent evolutionary dynamics is described by deterministic replicator dynamics assuming implicitly infinite population sizes. Only recently have stochas…
Similarity based cooperation and spatial segregation
Arne Traulsen, Jens Christian Claussen
We analyze a cooperative game, where the cooperative act is not based on the previous behaviour of the co-player, but on the similarity between the players. This system has been st…
Stochastic gain in population dynamics
Arne Traulsen, Torsten Roehl, Heinz Georg Schuster
We introduce an extension of the usual replicator dynamics to adaptive learning rates. We show that a population with a dynamic learning rate can gain an increased average payoff i…