Mathematical economics : twenty papers of Gerard Debreu
著者
書誌事項
Mathematical economics : twenty papers of Gerard Debreu
（Econometric Society monographs in pure theory）（Publication / Econometric Society, no. 4）
Cambridge University Press, 1983
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注記
Includes bibliographies
内容説明・目次
内容説明
These twenty papers were selected by the author. The book includes a major introduction by Werner Hildenbrand, who assesses Professor Debreu's contribution to economic theory and explains the part played by these papers in the development of the subject.
目次
- Introduction Werner Hildenbrand
- 1. The coefficient of resource utilization
- 2. A social equilibrium existence theorem
- 3. A classical tax-subsidy problem
- 4. Existence of an equilibrium for a competitive economy Kenneth J. Arrow and Gerard Debreu
- 5. Valuation equilibrium and Pareto optimum
- 6. Representation of a preference ordering by a numerical function
- 7. Market equilibrium
- 8. Economics under uncertainty
- 9. Topological methods in cardinal utiltity theory
- 10. New concepts and techniques for equilibrium analysis
- 11. A limit theorem on the core of an economy Gerard Debreu and Herbert Scarf
- 12. Continuty properties of Paretian utility
- 13. Neighboring economic agents
- 14. Economies with a finite set of equilibria
- 15. Smooth preferences
- 16. Excess demand functions
- 17. The rate of convergence of the core of an economy
- 18. Four aspects of the mathematical theory of economic equilibrium
- 19. The application to economies of differential topology and global analysis: regular differentiable economies
- 20. Least concave utility functions.
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