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The vector-valued maximin [electronic resource] / V.I. Zhukovskiy, M.E. Salukvadze.

By: Zhukovski�i, Vladislav Iosifovich.
Material type: TextTextSeries: Mathematics in science and engineering: v. 193.Publisher: Boston : Academic Press, c1994Description: 1 online resource (404 p.) : ill.ISBN: 9780080958781 (electronic bk.); 0080958788 (electronic bk.).Subject(s): Differential games | Mathematical optimization | Differential games. Mathematical optimization | MATHEMATICS -- Game TheoryGenre/Form: Electronic books.Additional physical formats: Print version:: Vector-valued maximin.DDC classification: 519.3 Online resources: EBSCOhost
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
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.
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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.

Includes bibliographical references (p. 389-395) and indexes.

Description based on print version record.

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

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