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Evolution, games theory and polyhedra

Williams, H. Paul (1987) Evolution, games theory and polyhedra. Journal of Mathematical Biology, 25 (4). pp. 393-409. ISSN 0303-6812

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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.

Item Type: Article
Official URL: http://www.springer.com/mathematics/mathematical+b...
Additional Information: © 1987 Springer-Verlag
Library of Congress subject classification: Q Science > QA Mathematics
Q Science > QH Natural history > QH301 Biology
Sets: Research centres and groups > Management Science Group
Departments > Management
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 25 Jan 2011 13:09
URL: http://eprints.lse.ac.uk/31686/

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