Mathematical economics : twenty papers of Gerard Debreu

書誌事項

Mathematical economics : twenty papers of Gerard Debreu

Gerard Debreu ; introduction by Werner Hildenbrand

(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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