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The vector-valued maximin /

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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.

Bibliographic Details
Main Author: Zhukovskiĭ, Vladislav Iosifovich
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Language Notes:English.
Published: Boston : Academic Press, ©1994.
Series:Mathematics in science and engineering ; v. 193.
Subjects:
Differential games.
Mathematical optimization.
Jeux différentiels.
Optimisation mathématique.
MATHEMATICS > Game Theory.
Differential games
Mathematical optimization
Speltheorie.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of 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.