Mathematical Economics: Twenty Papers of Gerard Debreu

ISBN-13: 9780521335614 / Angielski / Miękka / 1986 / 264 str.

Gerard Debreu; Andrew Chesher; Matthew Jackson

Opis

These twenty papers were selected by the author, who received the Nobel Prize in 1983. 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.

Recenzje

'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

Spis treści

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.