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Mathematical Methods of Game and Economic Theory: Revised Edition by Jean-Pierre Aubin ISBN: 048646265X Dover Publications Price: $32.95 click here to see this book Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Its central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. 1982 edition. Reprint of the North-Holland Publishing Company, Amsterdam, 1982 edition. Table of Contents for Mathematical Methods of Game and Economic Theory: Revised 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

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