This text begins with optimization theory and convex analysis, followed by topics in game theory and mathematical economics, and concluding with an introduction to nonlinear analysis and control theory. 1982 edition.
This text begins with optimization theory and convex analysis, followed by topics in game theory and mathematical economics, and concluding with an introduction to nonlinear analysis and control theory. 1982 edition.
Preface to the Dover Edition Preface (1982) Summary of Results Contents of Other Possible Courses Notations I. Optimization and convex analysis 1. Minimization problems and convexity 2. Existence, uniqueness and stability of optimal solutions 3. Compactness and continuity properties 4. Differentiability and subdifferentiability: characterization of optimal solutions 5. Introduction to duality theory II. Game theory and the Walras model of allocation of resources 6. Two-person games: an introduction 7. Two-person zero-sum games: existence theorems 8. The fundamental economic model: Walras equilibria 9. Non-cooperative n-person games 10. Main solution concepts of cooperative games 11. Games with side-payments 12. Games without side-payments III. Non-linear analysis and optimal control theory 13. Minimax type inequalities, monotone correspondences and gamma-convex functions 14. Introduction to calculus of variations and optimal control 15. Fixed point theorems, quasi-variational inequalities and correspondences Appendix A. Summary of linear functional analysis Appendix B. The Knaster-Kuratowski-Mazurkiewicz lemma Appendix C. Lyapunov's theorem on the range of a vector valued measure Comments References Subject index
Preface to the Dover Edition Preface (1982) Summary of Results Contents of Other Possible Courses Notations I. Optimization and convex analysis 1. Minimization problems and convexity 2. Existence, uniqueness and stability of optimal solutions 3. Compactness and continuity properties 4. Differentiability and subdifferentiability: characterization of optimal solutions 5. Introduction to duality theory II. Game theory and the Walras model of allocation of resources 6. Two-person games: an introduction 7. Two-person zero-sum games: existence theorems 8. The fundamental economic model: Walras equilibria 9. Non-cooperative n-person games 10. Main solution concepts of cooperative games 11. Games with side-payments 12. Games without side-payments III. Non-linear analysis and optimal control theory 13. Minimax type inequalities, monotone correspondences and gamma-convex functions 14. Introduction to calculus of variations and optimal control 15. Fixed point theorems, quasi-variational inequalities and correspondences Appendix A. Summary of linear functional analysis Appendix B. The Knaster-Kuratowski-Mazurkiewicz lemma Appendix C. Lyapunov's theorem on the range of a vector valued measure Comments References Subject index
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