The search game on a network with immobile hider

The search game on a network with immobile hider In this paper we discuss a search game on a network, Q, with two players, a searcher and a hider. The hider chooses a point on Q at which to hide, while the searcher starts at a given point on Q and moves with continuous trajectory subject to a maximal speed. This is a zero‐sum game with payoff given by the time elapsed until the searcher reaches the point occupied by the hider. The solution to this game is known for certain types of network. Here by formulating the problem as an infinite‐dimensional linear program, we derive an algorithm for its solution. We discuss the performance of the algorithm on three examples. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Networks: An International Journal Wiley

The search game on a network with immobile hider

Loading next page...
 
/lp/wiley/the-search-game-on-a-network-with-immobile-hider-Q4k0Z4WaSl
Publisher
Wiley
Copyright
Copyright © 1990 Wiley Periodicals, Inc., A Wiley Company
ISSN
0028-3045
eISSN
1097-0037
D.O.I.
10.1002/net.3230200703
Publisher site
See Article on Publisher Site

Abstract

In this paper we discuss a search game on a network, Q, with two players, a searcher and a hider. The hider chooses a point on Q at which to hide, while the searcher starts at a given point on Q and moves with continuous trajectory subject to a maximal speed. This is a zero‐sum game with payoff given by the time elapsed until the searcher reaches the point occupied by the hider. The solution to this game is known for certain types of network. Here by formulating the problem as an infinite‐dimensional linear program, we derive an algorithm for its solution. We discuss the performance of the algorithm on three examples.

Journal

Networks: An International JournalWiley

Published: Dec 1, 1990

There are no references for this article.

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create folders to
organize your research

Export folders, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off