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A normal form game model of search and pursuit
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Alpern, Steve and Lee, Viciano (2020) A normal form game model of search and pursuit. In: Ramsey, D. M. and Renault, J., (eds.) Advances in Dynamic Games. Annals of the International Society of Dynamic Games, 17 . Cham: Birkhaeuser, pp. 57-73. ISBN 9783030565336
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Official URL: https://doi.org/10.1007/978-3-030-56534-3_3
Abstract
Shmuel Gal and Jerome Casas have recently introduced a game theoretic model that combines search and pursuit by a predator for a prey animal. The prey (hider) can hide in a finite number of locations. The predator (searcher) can inspect any k of these locations. If the prey is not in any of these, the prey wins. If the prey is found at an inspected location, a pursuit begins which is successful for the predator with a known capture probability which depends on the location. We modify the problem so that each location takes a certain time to inspect and the predator has total inspection time k. We also consider a repeated game model where the capture probabilities only become known to the players over time, as each successful escape from a location lowers its perceived value capture probability.
Item Type: | Book Item | ||||||
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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): | Game theory, Search theory, Economics -- Mathematical models | ||||||
Series Name: | Annals of the International Society of Dynamic Games | ||||||
Journal or Publication Title: | Annals of the International Society of Dynamic Games | ||||||
Publisher: | Birkhaeuser | ||||||
Place of Publication: | Cham | ||||||
ISBN: | 9783030565336 | ||||||
ISSN: | 2474-0179 | ||||||
Book Title: | Advances in Dynamic Games | ||||||
Editor: | Ramsey, D. M. and Renault, J. | ||||||
Official Date: | 10 November 2020 | ||||||
Dates: |
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Volume: | 17 | ||||||
Page Range: | pp. 57-73 | ||||||
DOI: | 10.1007/978-3-030-56534-3_3 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 8 September 2020 | ||||||
Date of first compliant Open Access: | 10 November 2022 |
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