Regensburg 2010 – scientific programme

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BP: Fachverband Biologische Physik

BP 10: Evolutionary Game Theory I (joint SOE, BP)

BP 10.3: Talk

Tuesday, March 23, 2010, 10:15–10:30, H44

Rock-papers-scissors dynamics on complex networks — Markus Schütt and •Jens Christian Claussen — Inst. f. Neuro- und Bioinformatik, Universität zu Lübeck

Cyclic coevolutionary dynamics of three cyclically dominating strategies have been found in Prisoner’s Dilemma conflicts (with AllC, AllD and TFT) as well as in bacteria (E.coli) and the lizards (Uta stansburiana). The simplest payoff matrix resembling this cyclicity is that of the rock-papers-scissors (RPS) game. The meanfield dynamics of such cyclic coevolutionary dynamics in finite population has been analyzed in previous work for the RPS game [1] as well as for a bimatrix game played between two populations [2]. Here we investigate the fixation time for the RPS game on different types of regular, random, small-world and scale-free graphs [2].

[1] JC Claussen and A Traulsen, Phys. Rev. Lett (2008)
[2] JC Claussen, Eur. Phys. J. (2007)
[3] M Schütt and JC Claussen (in preparation)