The vector-valued maximin / V.I. Zhukovskiy, M.E. Salukvadze.
Series: Mathematics in science and engineering ; v. 193.©1994Description: 1 online resource (404 pages) : illustrationsContent type:- text
- computer
- online resource
- 9780080958781
- 0080958788
- QA272 .Z48 1994eb

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 (pages 389-395) and indexes.
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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