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The -function formalism has been
widely used in the context of evolutionary games for identifying
evolutionarily stable strategies (ESS). This formalism was
developed for and applied to point processes. Here, we
examine the -function
formalism in the settings of spatial evolutionary
games and strategy dynamics, based on reaction-diffusion models. We start
by
extending the point process maximum principle to reaction-diffusion models
with homogeneous, locally stable surfaces.
We then develop the...
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