Salukvadze M. The Vector-Valued Maximin 1993

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Salukvadze M. The Vector-Valued Maximin 1993

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Textbook in PDF and DJVU formats 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