Backward and Forward Travelling Waves in Evolutionary Games
نویسنده
چکیده
We consider a three strategy game in which a pure strategy is an evolutionarily stable strategy (ESS). The individuals are moving randomly (modelled by diffusion) in a (1-dimensional) spatial environment which is homogeneous. It is shown that, contrary to intuition, even if the ESS is spatially dominant against each of the other two strategies separately, there might be a travelling wave which will replace the ESS by one of them. The existence of the travelling wave is established by using a bifurcation technique.
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