Convex Structures and Economic Theory

PrefaceList of Basic SymbolsIntroduction 1. Mathematical Analysis in Economic Theory 2. Scope of Mathematical Economic Theory 3. Appeal to Convexity 4. Orientation for ChaptersChapter I. Mathematical Theorems on Convexity 1. Euclidean Spaces 2. Convex Sets in Rn 3. Separation Theorems for Convex Sets 4. Fixed-Point Theorems 5. Homotopy and Extension TheoremsChapter II. Simple Multisector Linear Systems 6. Leontief's Input-Output Systems, Matrix Multipliers 7. Frobenius-Perron's Theorem 8. Imprimitivity and Oscillatory Behavior 9. Other Linear SystemsChapter III. Balanced Growth in Nonlinear Systems 10. The Solow-Samuelson-Type Relative Stability Theorems 11. Income Propagation Under Autonomous SpendingChapter IV. Efficient Allocation and Growth 12. Production Technology Sets 13. Theorems on Self-Sustained Efficient Growth 14. A Consumption Turnpike TheoremChapter V. The Working of Walrasian Competitive Economies 15. Allocation in Decentralized Systems 16. Existence of a Competitive Equilibrium 17. Normative Implications of CompetitionChapter VI. Special Features of Competitive Economies: Gross Substitutability 18. Gross Substitutability and Extremization 19. Stability in Gross Substitutes SystemsChapter VII. The Jacobian Matrix and Global Univalence 20. Conditions on the Jacobian Matrix for Global Univalence 21. Applications to Special Jacobian MatricesBibliographyAuthor IndexSubject Index