The vector-valued maximin /
Investigates differential games with a vector-valued pay-off function. Slater-, Pareto- and Geoffrion-optimal strategies are defined for such a game, and their positive and negative properties are examined. The authors propose and examine a new class of solutions called vector-valued guarantees.
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Main Authors: | |
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Published: |
Academic Press,
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Publisher Address: | Boston : |
Publication Dates: | 1994. |
Literature type: | eBook |
Language: | English |
Series: |
Mathematics in science and engineering ;
v. 193 |
Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/bookseries/00765392/193 |
Summary: |
Investigates differential games with a vector-valued pay-off function. Slater-, Pareto- and Geoffrion-optimal strategies are defined for such a game, and their positive and negative properties are examined. The authors propose and examine a new class of solutions called vector-valued guarantees. |
Carrier Form: | 1 online resource (404 pages) : illustrations. |
Bibliography: | Includes bibliographical references (pages 389-395) and indexes. |
ISBN: |
9780080958781 0080958788 |
Index Number: | QA272 |
CLC: | O225 |
Contents: | Front Cover; The Vector-Valued Maximin; Copyright Page; Contents; Preface; Notation; Abstract; Chapter 1. Quasimotions and their Properties; Chapter 2. Slater Optimality; Chapter 3. Pareto Optimality; Chapter 4. Geoffrion Optimality; Chapter 5. Vector-Valued Saddle Points; Chapter 6. Vector-Valued Guarantees; Chapter 7. The Competition Problem; Chapter 8. A Pursuit Game With Noise; Appendix 1: Concepts from Topology; Appendix 2: Upper Semicontinuous Multivalent Mappings; Appendix 3: Auxiliary Propositions from the Theory of Multicriterial Problems. |