Stochastic gain in finite populations

Torsten Röhl*, Arne Traulsen, Jens Christian Claussen, Heinz Georg Schuster

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Flexible learning rates can lead to increased payoffs under the influence of noise. In a previous paper, we have demonstrated this effect based on a replicator dynamics model which is subject to external noise. Here, we utilize recent advances on finite population dynamics and their connection to the replicator equation to extend our findings and demonstrate the stochastic gain effect in finite population systems. Finite population dynamics is inherently stochastic, depending on the population size and the intensity of selection, which measures the balance between the deterministic and the stochastic parts of the dynamics. This internal noise can be exploited by a population using an appropriate microscopic update process, even if learning rates are constant.

Original languageEnglish
Article number026108
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number2
Publication statusPublished - 15 Aug 2008


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