Kleptoparasitic melees--modelling food stealing featuring contests with multiple individuals.

Broom, M. & Rychtar, J. (2011). Kleptoparasitic melees--modelling food stealing featuring contests with multiple individuals.. Bulletin of Mathematical Biology, 73(3), pp. 683-699. doi: 10.1007/s11538-010-9546-z

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Abstract

Kleptoparasitism is the stealing of food by one animal from another. This has been modelled in various ways before, but all previous models have only allowed contests between two individuals. We investigate a model of kleptoparasitism where individuals are allowed to fight in groups of more than two, as often occurs in real populations. We find the equilibrium distribution of the population amongst various behavioural states, conditional upon the strategies played and environmental parameters, and then find evolutionarily stable challenging strategies. We find that there is always at least one ESS, but sometimes there are two or more, and discuss the circumstances when particular ESSs occur, and when there are likely to be multiple ESSs.

Item Type: Article
Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s11538-010-9546-z
Uncontrolled Keywords: Kleptoparasitism, Multiplayer contests, ESS, Game theory, Strategy
Subjects: H Social Sciences > HA Statistics
Q Science > QH Natural history
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/7821

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