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A search game with a protector

Record type: Article

A classic problem in Search Theory is one in which a searcher allocates resources to the points of the integer interval [1, n] in an attempt to find an object which has been hidden in them using a known probability function. In this paper we consider a modification of this problem in which there is a protector who can also allocate resources to the points; allocating these resources makes it more difficult for the searcher to find an object. We model the situation as a two-person non-zero-sum game so that we can take into account the fact that using resources can be costly. It is shown that this game has a unique Nash equilibrium when the searcher's probability of finding an object located at point i is of the form (1 - exp (-ixi)) exp (-iyi) when the searcher and protector allocate resources xi and yi respectively to point i. An algorithm to find this Nash equilibrium is given.

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Citation

Baston, V.J. and Garnaev, A.Y. (2000) A search game with a protector Naval Research Logistics, 47, (2), pp. 85-96. (doi:10.1002/(SICI)1520-6750(200003)47:2<85::AID-NAV1>3.0.CO;2-C).

More information

Published date: 2000
Keywords: search game, nonzero sum game, Nash equilibrium
Organisations: Operational Research

Identifiers

Local EPrints ID: 29734
URI: http://eprints.soton.ac.uk/id/eprint/29734
PURE UUID: 09611286-f5f0-4816-be87-59de3b980d4a

Catalogue record

Date deposited: 20 Jul 2006
Last modified: 17 Jul 2017 15:57

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Contributors

Author: V.J. Baston
Author: A.Y. Garnaev

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