| Resistance is useless?--Extensions to the game theory of kleptoparasitism. | |
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MedLine Citation:
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PMID: 15522349 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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We extend the game theoretic model of kleptoparasitism introduced by Broom and Ruxton (1998, Behav. Ecol. 9, 397-403) in two ways: we allow for asymmetric contests, where the probability alpha of the challenger winning can take any value from 0 to 1; and we allow the handler to choose not to resist the challenge, but to immediately concede and relinquish its food to the challenger. We find, in general, three possible evolutionarily stable strategies--challenge-and-resist (Hawk), challenge-but-do-not-resist (Marauder) and do-not-challenge-but-resist (Retaliator). When alpha = 1/2, we find that Hawk and Marauder are the only ESS's, in contrast to the result of the original model; we also find an overlap region, in parameter space, where two different ESS's are possible, depending on initial conditions. For general alpha, we see that all three ESS are possible, depending on different values of the environmental parameters; however, as the average time of a contest over food becomes long, then the Marauder strategy becomes more and more prevalent. The model makes a potentially significant prediction about animal behaviour in the area of kleptoparasitism, that a searcher, when it meets a handler, will only decline to attack that handler when alpha < 1/2 i.e. when the defender is more likely to win. One possible converse of this statement, that a handler whose probability of success is greater than 1/2 should always resist a challenge, is not true. |
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Authors:
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Mark Broom; Roger M Luther; Graeme D Ruxton |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: Bulletin of mathematical biology Volume: 66 ISSN: 0092-8240 ISO Abbreviation: Bull. Math. Biol. Publication Date: 2004 Nov |
Date Detail:
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Created Date: 2004-11-03 Completed Date: 2005-06-30 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0401404 Medline TA: Bull Math Biol Country: United States |
Other Details:
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Languages: eng Pagination: 1645-58 Citation Subset: IM |
Affiliation:
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Department of Mathematics, University of Sussex, Falmer, Brighton BN1 9QH, UK. |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Animals Evolution Food Supply Game Theory* Humans Mathematical Computing Models, Biological Parasitology* Predatory Behavior |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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