Mathematical Economics

• 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.

'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