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Counterintuitive prey strategies against predators with finite budget in a search game : protection heterogeneity among sites matters more than their number
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Clémençon, Paul, Alpern, Steve, Gal, Shmuel and Casas, Jérôme (2023) Counterintuitive prey strategies against predators with finite budget in a search game : protection heterogeneity among sites matters more than their number. Journal of The Royal Society Interface, 20 (206). 20230216. doi:10.1098/rsif.2023.0216 ISSN 1742-5689.
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Official URL: https://doi.org/10.1098/rsif.2023.0216
Abstract
Combining the search and pursuit aspects of predator–prey interactions into a single game, where the payoff to the Searcher (predator) is the probability of finding and capturing the Hider (prey) within a fixed number of searches was proposed by Gal and Casas (J. R. Soc. Interface 11, 20140062 (doi:10.1098/rsif.2014.0062)). Subsequent models allowed the predator to continue its search (in another ‘round’) if the prey was found but escaped the chase. However, it is unrealistic to allow this pattern of prey relocation to go on forever, so here we introduce a limit of the total number of searches, in all ‘rounds’, that the predator can carry out. We show how habitat structural complexity affects the mean time until capture: the quality of the location with the lowest capture probability matters more than the number of hiding locations. Moreover, we observed that the parameter space defined by the capture probabilities in each location and the budget of the predator can be divided into distinct domains, defining whether the prey ought to play with pure or mixed hiding strategies.
Item Type: | Journal Article | |||||||||
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Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics |
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Divisions: | Faculty of Social Sciences > Warwick Business School | |||||||||
Library of Congress Subject Headings (LCSH): | Search theory, Game theory | |||||||||
Journal or Publication Title: | Journal of The Royal Society Interface | |||||||||
Publisher: | The Royal Society Publishing | |||||||||
ISSN: | 1742-5689 | |||||||||
Official Date: | 20 September 2023 | |||||||||
Dates: |
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Volume: | 20 | |||||||||
Number: | 206 | |||||||||
Article Number: | 20230216 | |||||||||
DOI: | 10.1098/rsif.2023.0216 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Copyright Holders: | © 2023 The Author(s) | |||||||||
Date of first compliant deposit: | 31 August 2023 | |||||||||
Date of first compliant Open Access: | 4 September 2023 | |||||||||
RIOXX Funder/Project Grant: |
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