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 |
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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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