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Evolution, games theory and polyhedra

By H. Paul Williams


The problem of finding an Evolutionary Stable Strategy (ESS) for an animal species is defined. It is shown how such strategies are a subset of the equilibrium solutions for a particular non-zero sum game. These equilibrium solutions are then shown to arise from the vertices of a particular convex polyhedron. A method of finding these equilibrium solutions through the vertices and then the ESS solutions is given. This is illustrated by a number of numerical examples taken from the literature. Finally an alternative approach based on solving a Linear Complementarity Problem is discussed

Topics: QA Mathematics, QH301 Biology
Publisher: Springer
Year: 1987
DOI identifier: 10.1007/BF00277164
OAI identifier:
Provided by: LSE Research Online
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