A one‐dimensional helicopter‐submarine game

A one‐dimensional helicopter‐submarine game The article considers a two‐person zero‐sum game in which a searcher with b bombs wishes to destroy a mobile hider. The players are restricted to move on a straight line with maximum speeds v and u satisfying v > u > 0; neither player can see the other but each knows the other's initial position. The bombs all have destructive radius R and there is a time lag T between the release of a bomb and the bomb exploding. The searcher gets 1 unit if the hider is destroyed and 0 if he survives. A solution is given for b = 1, and extended to b > 1 when the time lag is small. Various applications of the game are discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Naval Research Logistics: An International Journal Wiley

A one‐dimensional helicopter‐submarine game

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Publisher
Wiley
Copyright
Copyright © 1989 Wiley Periodicals, Inc., A Wiley Company
ISSN
0894-069X
eISSN
1520-6750
DOI
10.1002/1520-6750(198908)36:4<479::AID-NAV3220360410>3.0.CO;2-7
Publisher site
See Article on Publisher Site

Abstract

The article considers a two‐person zero‐sum game in which a searcher with b bombs wishes to destroy a mobile hider. The players are restricted to move on a straight line with maximum speeds v and u satisfying v > u > 0; neither player can see the other but each knows the other's initial position. The bombs all have destructive radius R and there is a time lag T between the release of a bomb and the bomb exploding. The searcher gets 1 unit if the hider is destroyed and 0 if he survives. A solution is given for b = 1, and extended to b > 1 when the time lag is small. Various applications of the game are discussed.

Journal

Naval Research Logistics: An International JournalWiley

Published: Aug 1, 1989

References

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