Dresden 2011 – scientific programme

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BP: Fachverband Biologische Physik

BP 7: Posters: Statistical Physics in Biological Systems

BP 7.12: Poster

Monday, March 14, 2011, 17:15–20:00, P3

Winning the marathon. Multiplayer games at the mutation-selection equilibrium — •Chaitanya Gokhale and Arne Traulsen — Research Group for Evolutionary Theory, Max-Planck-Institute for Evolutionary Biology, August-Thienemann-Str. 2, 24306 Plön, Germany

Evolutionary game theory is an abstract and simple, but very powerful way to model evolutionary dynamics. Even complex biological phenomena can sometimes be abstracted to simple two player games. But often, the interaction between several parties determines evolutionary success. In these cases, one can resort to multiplayer games, which are inherently more complicated than two-player games, yet can yield simple results. Another important evolutionary force is mutations, which has only recently yielded to analytical methods [1,2]. We derive the composition of a multiplayer, multiple strategy system in the mutation-selection equilibrium. We obtain the average frequencies of the strategies at this equilibrium. The result is a simple expression which can be obtained by recursions using coalescence theory [3]. This approach can be modified to suit a variety of contexts, e.g. to find the equilibrial frequencies of a finite number of alleles in a polymorphism or the equilibrial frequencies of different strategies in a social dilemma in a cultural context.

References: [1] T. Antal et al. Proc. Natl. Acad. Sci. USA, 106, 2009. [2] T. Antal, A. et al. J. Theor. Biol., 258, 2009. [3] J. Wakeley. Coalescent theory: an introduction. Roberts and Company Publishers, 2008.