73 research outputs found
A spatial model for selection and cooperation
We study the evolution of cooperation in an interacting particle system with
two types. The model we investigate is an extension of a two-type biased voter
model. One type (called defector) has a (positive) bias with respect
to the other type (called cooperator). However, a cooperator helps a neighbor
(either defector or cooperator) to reproduce at rate . We prove that
the one-dimensional nearest-neighbor interacting dynamical system exhibits a
phase transition at . For cooperators always die
out, but if , cooperation is the winning strategy.Comment: 19 pages, 1 figur
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