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Preface
Notation
Abstract
Quasimotions and their Properties
Reference Information
Piecewise-Continuous Stepwise Quasimotion
The Alternative and the Saddle Point
Corollaries of the Alternative
Slater Optimality
Slater-Maximal Strategy
Sufficient Conditions
Structure in the Case of Slater Optimality
Pareto Optimality
Pareto-Optimal Strategy
Relations Between the Sets P and S
Structure in the Case of Pareto Optimality
Sufficient Conditions
A Linear Quadratic Multicriterial Problem
Comparison to P1-Optimality
Geoffrion Optimality
Geoffrion-Maximal Strategy
Necessary and Sufficient Conditions
A-optimality
Vector-Valued Saddle Points
Definition
Properties of Saddle Points
Invariance of Vector-Valued Saddle Points
Sufficient Conditions
Vector-Valued Guarantees
Vector-Valued Maximin and Minimax
Existence of Vector-Valued Maximins
The Competition Problem
Mathematical Model of Competition
A Game With Separable Payoff Function
The ZS-Solution in the Competition Problem
Model of Competing Research Activities
A Pursuit Game With Noise
Statement of Problem
Pursuit of Two Target Points, one of which with Uncertain Location
Pursuit of Two Target Points
A Three-Criteria1 Pursuit Problem
Appendix 1: Concepts from Topology
Appendix 2: Upper Semicontinuous Multivalent Mappings
Appendix 3: Auxiliary Propositions from the Theory of Multicriterial Problems
Appendix 4: Vector-Valued Maximins in Static Problems
A4.1. Slater Maximin
A4.2. Other Notions of Vector-Valued Maximins
References
Author Index
Subject Index