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Evolution, games theory and polyhedra

By H. Paul Williams

Abstract

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: oai:eprints.lse.ac.uk:31686
Provided by: LSE Research Online
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