Stochastic gain in population dynamics.
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 in transient phases and can also exploit external noise, leading the system away from the Nash equilibrium, in a resonancelike fashion. The payoff versus noise curve resembles the signal to noise ratio curve in stochastic resonance. Seen in this broad context, we introduce another mechanism that exploits fluctuations in order to improve properties of the system. Such a mechanism could be of particular interest in economic systems.
Institut für Theoretische Physik und Astrophysik, Christian-Albrechts Universität, Olshausenstrasse 40, 24098 Kiel, Germany. traulsen@theo-physik.uni-kiel.de
Arne
A
Traulsen
Torsten
T
Röhl
Heinz Georg
HG
Schuster
D000465:Algorithms; D003198:Computer Simulation; D005716:Game Theory; D007858:Learning; D008954:Models, Biological; D015233:Models, Statistical; D011157:Population Dynamics; D013269:Stochastic Processes; D013598:Systems Theory