Document Detail

Resistance is useless?--Extensions to the game theory of kleptoparasitism.
MedLine Citation:
PMID:  15522349     Owner:  NLM     Status:  MEDLINE    
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.
Mark Broom; Roger M Luther; Graeme D Ruxton
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Bulletin of mathematical biology     Volume:  66     ISSN:  0092-8240     ISO Abbreviation:  Bull. Math. Biol.     Publication Date:  2004 Nov 
Date Detail:
Created Date:  2004-11-03     Completed Date:  2005-06-30     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401404     Medline TA:  Bull Math Biol     Country:  United States    
Other Details:
Languages:  eng     Pagination:  1645-58     Citation Subset:  IM    
Department of Mathematics, University of Sussex, Falmer, Brighton BN1 9QH, UK.
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MeSH Terms
Food Supply
Game Theory*
Mathematical Computing
Models, Biological
Predatory Behavior

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