Williams, H. Paul (1987) Evolution, games theory and polyhedra. Journal of Mathematical Biology, 25 (4). pp. 393-409. ISSN 0303-6812
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 |
| Date Deposited: | 25 Jan 2011 13:09 |
| URL: | http://eprints.lse.ac.uk/31686/ |
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