The Theory of Search Games and Rendezvous

Front Cover
Springer Science & Business Media, Apr 10, 2006 - Mathematics - 319 pages
Search Theory is one of the original disciplines within the field of Operations Research. It deals with the problem faced by a Searcher who wishes to minimize the time required to find a hidden object, or “target. ” The Searcher chooses a path in the “search space” and finds the target when he is sufficiently close to it. Traditionally, the target is assumed to have no motives of its own regarding when it is found; it is simply stationary and hidden according to a known distribution (e. g. , oil), or its motion is determined stochastically by known rules (e. g. , a fox in a forest). The problems dealt with in this book assume, on the contrary, that the “target” is an independent player of equal status to the Searcher, who cares about when he is found. We consider two possible motives of the target, and divide the book accordingly. Book I considers the zero-sum game that results when the target (here called the Hider) does not want to be found. Such problems have been called Search Games (with the “ze- sum” qualifier understood). Book II considers the opposite motive of the target, namely, that he wants to be found. In this case the Searcher and the Hider can be thought of as a team of agents (simply called Player I and Player II) with identical aims, and the coordination problem they jointly face is called the Rendezvous Search Problem.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

General Framework
9
Search Trajectories Search in a Multidimensional Region 3 7 1 Inhomogeneous search spaces 4 Search for a Mobile Hider 4 1 4 2 4 3 4 4 4 5 Introd...
36
45
71
5
145
RENDEZVOUS THEORY
164
Rendezvous Strategies Outline of Book II 11 Elementary Results and Examples
177
The Symmetric Rendezvous Value Rs Properties of Optimal Strategies and Rendezvous Values 13 Rendezvous on Labeled Networks
190
223
225
Appendices
291
RendezvousEvasion Problems
299
52
306
79
307
175
312
Index
316
Copyright

Other editions - View all

Common terms and phrases