ntroduction 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.