| Description |
1 online resource (xiv, 216 pages) : illustrations |
| Series |
Mathematics in science and engineering ; v. 149 |
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Mathematics in science and engineering ; v. 149.
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| Contents |
Front Cover; SEARCH GAMES; Copyright Page; Contents; Preface; Acknowledgments; Frequently Used Notations; Introduction; PART I: SEARCH GAMES IN COMPACT SPACES; Chapter 1. General Framework; Chapter 2. Search For an Immobile Hider; 2.1 General Results; 2.2 Search in a Graph; 2.3 Search on a Tree; 2.4 The Case of an Odd Number of Arcs Connecting Two Points; 2.5 Search in a Multidimensional Region; 2.6 Nonhomogeneous Search Spaces; Chapter 3. Search for a Mobile Hider; 3.1 General Framework; 3.2 Search on k Arcs; 3.3 Search on a Circle; 3.4 An Open Problem |
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Chapter 4. Mobile Hider in a Multidimensional Region4.1 General Description; 4.2 Strategy of the Searcher; 4.3 Strategy of the Hider; 4.4 Extensions of the Previous Results; 4.5 A General Cost Function; 4.6 Search for an Infiltrator; PART II: SEARCH GAMES IN UNBOUNDED DOMAINS; Chapter 5. General Framework; 5.1 One-Dimensional Search Games; 5.2 Multidimensional Search Games; Chapter 6. On the Optimality of the Exponential Functions for Some Minimax Problems; 6.1 Introduction; 6.2 Required Properties of F for the Discrete Case; 6.3 Discrete Minimax Theorems |
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6.4 Minimax Theorems for the Continuous Case6.5 Uniqueness of the Minimax Strategy; Chapter 7. Search on the Infinite Line; 7.1 Introduction; 7.2 The Minimax Search Trajectory; 7.3 Optimal Strategies; 7.4 Another Approach to the Search on the Line; 7.5 Search for a Moving Hider; 7.6 Search with Probability of Detection Less Than 1; Chapter 8. Application of the Minimax Theorems to Some Other Search Problems; 8.1 Search on M Rays; 8.2 Search for a Point in the Plane; 8.3 ""Swimming in a Fog"" Problems; Appendixes; Appendix 1 On the Existence of a Value for Search Games |
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Appendix 2 Theorems about the Attainment of Exponential FunctionsAppendix 3 Discrete Search Games; Appendix 4 Some Basic Notions of the Theory of Games; References; Index |
| Bibliography |
Includes bibliographical references (pages 209-213) and index |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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Print version record |
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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Search theory.
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Decision Theory
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MATHEMATICS -- Game Theory.
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Search theory
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| Form |
Electronic book
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| ISBN |
9780122738500 |
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0122738500 |
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9780080956572 |
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0080956572 |
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