A search game when a search path is given

A search game when a search path is given In this paper, we investigate a search game in discrete time and space. A searcher is given a search path in advance and his look on the path is determined by a randomized look strategy. A target selects a path from some options. The searcher gains a value on the detection of the target but expends search cost by the look. A pay-off function of the game for the searcher is the expected reward which is defined as the expected value minus the expected search cost. First, we show a recursive relation for the conditional optimal look strategy of the searcher given a target path. We prove its NP-completeness, though it looks simple, and clarify some characteristics of the solution. Then our original continuous game is converted to a matrix game. From these facts, we consider a relationship between the game and the one-sided optimizing problem and examine some examples. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png European Journal of Operational Research Elsevier

A search game when a search path is given

European Journal of Operational Research, Volume 124 (1) – Jul 1, 2000
11 pages

/lp/elsevier/a-search-game-when-a-search-path-is-given-LPCMLhmp1l
Publisher
Elsevier
ISSN
0377-2217
eISSN
1872-6860
D.O.I.
10.1016/S0377-2217(99)00120-4
Publisher site
See Article on Publisher Site

Abstract

In this paper, we investigate a search game in discrete time and space. A searcher is given a search path in advance and his look on the path is determined by a randomized look strategy. A target selects a path from some options. The searcher gains a value on the detection of the target but expends search cost by the look. A pay-off function of the game for the searcher is the expected reward which is defined as the expected value minus the expected search cost. First, we show a recursive relation for the conditional optimal look strategy of the searcher given a target path. We prove its NP-completeness, though it looks simple, and clarify some characteristics of the solution. Then our original continuous game is converted to a matrix game. From these facts, we consider a relationship between the game and the one-sided optimizing problem and examine some examples.

Journal

European Journal of Operational ResearchElsevier

Published: Jul 1, 2000

References

• Path constrained search problem with reward criterion
Hohzaki, R.; Iida, K.

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