Synopses & Reviews
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.
Review
'This work allows us to see an impressive collection of Debreu's work together as a body ... a very useful reference in both research and teaching.' Journal of Economic Literature
Synopsis
Twenty papers written by the influential economic theorist Professor Gerard Debreu.
Synopsis
Twenty papers selected by the author, winner of the 1983 Nobel Prize in Economic Science. Book includes a major introduction by Werner Hildenbrand.
Table of Contents
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.