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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 10: Poster Session (posters are expected to be displayed the full day 8:30-18:00)

AKSOE 10.24: Poster

Mittwoch, 29. März 2006, 16:00–18:00, P2

Nongaussian Fluctuations arising from finite populations: Exact results for the evolutionary Moran process — •Jens Christian Claussen¹ and Arne Traulsen² — ¹Institut für Theoretische Physik und Astrophysik, Christian-Albrecht-Universität Kiel, Germany — ²Center for Evolutionary Dynamics, Harvard

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 recently introduced into this context defines a promising standard model of evolutionary game theory in finite populations for which analytical results are accessible. We derive the stationary distribution of the Moran process population dynamics for arbitrary 2×2 games for the finite size case. In contrast to the common approach to mimic finite-size fluctuations by Gaussian distributed noise, the finite size fluctuations can deviate significantly from a Gaussian distribution.

[1] J.C. Claussen & A. Traulsen, Phys. Rev. E 71, 025101(R)