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Mathematical Economics

Mathematical Economics

Mathematical Economics

Twenty Papers of Gerard Debreu
Gerard Debreu, University of California, Berkeley
Werner Hildenbrand
October 1986
Available
Paperback
9780521335614
$53.99
USD
Paperback

    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.

    • Author has been one of the most prolific economic theorists over the last thirty years
    • Shows the influence Debreu has had over the development of economic theory and mathematical methods in economics
    • Papers selected by Debreu himself

    Reviews & endorsements

    '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

    See more reviews

    Product details

    October 1986
    Paperback
    9780521335614
    264 pages
    228 × 152 × 13 mm
    0.351kg
    Available

    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.
      Contributors
    • Werner Hildenbrand, Kenneth J. Arrow, Gerard Debreu, Herbert Scarf

    • Author
    • Gerard Debreu , University of California, Berkeley
    • Werner Hildenbrand