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A search game model of the scatter hoarder's problem

Alpern, Steven, Fokkink, Robbert, Lidbetter, Tom and Clayton, N.S. (2012) A search game model of the scatter hoarder's problem. Journal of the Royal Society Interface, 9 (70). pp. 869-879. ISSN 1742-5689

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Abstract

Scatter hoarders are animals (e.g. squirrels) who cache food (nuts) over a number of sites for later collection. A certain minimum amount of food must be recovered, possibly after pilfering by another animal, in order to survive the winter. An optimal caching strategy is one that maximizes the survival probability, given worst case behaviour of the pilferer. We modify certain 'accumulation games' studied by Kikuta & Ruckle (2000 J. Optim. Theory Appl.) and Kikuta & Ruckle (2001 Naval Res. Logist.), which modelled the problem of optimal diversification of resources against catastrophic loss, to include the depth atwhich the food is hidden at each caching site. Optimal caching strategies can then be determined as equilibria in a new 'caching game'.We show how the distribution of food over sites and the site-depths of the optimal caching varies with the animal's survival requirements and the amount of pilfering.We showthat in some cases, 'decoy nuts' are required to be placed above other nuts that are buried further down at the same site. Methods from the field of search games are used. Some empirically observed behaviour can be shown to be optimal in our model.

Item Type: Article
Official URL: http://rsif.royalsocietypublishing.org/
Additional Information: © 2012 The Royal Society.
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 25 May 2012 15:59
URL: http://eprints.lse.ac.uk/43932/

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