Chaos in game dynamics


Authors
Brian Skyrms
University of California, Irvine
Abstract
Two examples demonstrate the possibility of extremely complicated non-convergent behavior in evolutionary game dynamics. For the Taylor-Jonker flow, the stable orbits for three strategies were investigated by Zeeman. Chaos does not occur with three strategies. This papers presents numerical evidence that chaotic dynamics on a strange attractor does occur with four strategies. Thus phenomenon is closely related to known examples of complicated behavior in Lotka-Volterra ecological models
Keywords evolutionary games  game dynamics  chaos
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DOI 10.1007/BF00171693
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