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AGSOE: Arbeitsgruppe Physik sozio-ökonomischer Systeme

AGSOE 11: Economic Models and Evolutionary Game Theory III

AGSOE 11.3: Vortrag

Mittwoch, 25. März 2009, 11:15–11:45, BAR 205

Evolutionary dynamics in structured populations — •Corina Tarnita¹, Tibor Antal¹, Hisashi Ohtsuki², and Martin Nowak¹ — ¹Department of Mathematics and Program for Evolutionary Dynamics, Harvard University, Cambridge MA 02138, USA — ²Department of Value and Decision Science, Tokyo Institute of Technology, Tokyo, 152-8552, Japan

Evolutionary dynamics are strongly affected by population structure. The outcome of an evolutionary process in a well-mixed population can be very different from that in a structured population. There have been many attempts to study the effect of population structure on evolutionary dynamics. These approaches include spatial models in ecology, spatial games and games on graphs. In most of these models, the underlying spatial structure or social network is given and does not change during the evolutionary process. Here I present a completely analytical theory for a class of models that use dynamical graphs. The interaction graph changes as a consequence of evolutionary updating. I obtain exact results for any evolutionary game including the evolution of cooperation. I present precise conditions for cooperators to be selected over defectors. Finally, I use the same mathematical tools to derive a general condition for strategy selection that holds for a large variety of structured population.