Stochastic gain in finite populations.
Flexible learning rates can lead to increased payoffs under the influence of noise. In a previous paper [Traulsen, Phys. Rev. Lett. 93, 028701 (2004)], 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.
Institute of Theoretical Physics and Astrophysics, University of Kiel, Leibnizstrasse 15, D-24098 Kiel, Germany.
Torsten
T
Röhl
Arne
A
Traulsen
Jens Christian
JC
Claussen
Heinz Georg
HG
Schuster