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A one-dimensional helicopter-submarine game

โœ Scribed by V. J. Baston; F. A. Bostock

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
608 KB
Volume
36
Category
Article
ISSN
0894-069X

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โœฆ Synopsis

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.

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