The University of Southampton
University of Southampton Institutional Repository

A search game with a protector

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).

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.

Full text not available from this repository.

More information

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


Local EPrints ID: 29734
PURE UUID: 09611286-f5f0-4816-be87-59de3b980d4a

Catalogue record

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

Export record



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

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.