Berlin 2005 – scientific programme

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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 8: Poster Session

AKSOE 8.18: Poster

Monday, March 7, 2005, 14:00–15:30, Poster TU E

Nongaussian fluctuations arising from finite populations: Exact results for the evolutionary Moran process — •Jens Christian Claussen and Arne Traulsen — Theoretical Physics, University Kiel

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 [1] defines a promising standard model of evolutionary game theory in finite populations for which analytical results are accessible. Here we derive the stationary distribution of the Moran process population dynamics for arbitrary 2×2 games for the finite size case [2]. We show that a nonvanishing background fitness can be transformed to the vanishing case by rescaling the payoff matrix [2]. 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 [2].

[1] M. A. Nowak, A. Saski, C. Taylor, and D. Fudenberg, Nature 428, 646 (2004).

[2] J. C. Claussen and A. Traulsen, cond-mat/0409656.