Evolution in knockout conflicts: The fixed strategy case |
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Authors: | M Broom C Cannings G T Vickers |
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Institution: | (1) Centre for Statistics and Stochastic Modelling, School of Mathematical Sciences, University of Sussex, Sussex, UK;(2) Division of Molecular and Genetic Medicine, University of Sheffield, Sheffield, UK;(3) Department of Applied Mathematics, University of Sheffield, Sheffield, UK |
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Abstract: | A group of individuals resolve their disputes by a knockout tournament. In each round of the tournament, the remaining contestants
form pairs which compete, the winners progressing to the next round and the losers being eliminated. The payoff received depends
upon how far the player has progressed and a cost is incurred only when it is defeated. We only consider strategies in which
individuals are constrained to adopt a fixed play throughout the successive rounds. The case where individuals can vary their
choice of behaviour from round to round will be treated elsewhere. The complexity of the system is investigated and illustrated
both by special cases and numerical examples.
M. Broom is also a member of the Centre for the Study of Evolution at the University of Sussex. |
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