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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Bibliographic Details
Main Authors: Zhukovskii , Vladislav Iosifovich
Corporate Authors: Elsevier Science & Technology
Group Author: Salukvadze, M.E
Published: Academic Press,
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.