Mathematical Economics: Twenty Papers of Gerard Debreu (Econometric Society Monographs, Series Number 4)

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. Introduction -- The Coefficient Of Resource Utilization -- A Social Equilibrium Existence Theorem -- A Classical Tax-subsidy Problem -- Existence Of An Equilibrium For A Competitive Economy -- Valuation Equilibrium And Pareto Optimum -- Representation Of A Preference Ordering By A Numerical Function -- Market Equilibrium -- Economics Under Uncertainty -- Topological Methods In Cardinal Utility Theory -- New Concepts And Techniques For Equilibrium Analysis -- A Limit Theorem On The Core Of An Economy -- Continuity Properties Of Paretian Utility -- Neighboring Economic Agents -- Economies With A Finite Set Of Equilibria -- Smooth Preferences -- Excess Demand Functions -- The Rate Of Convergence Of The Core Of An Economy -- Four Aspects Of The Mathematical Theory Of Economic Equilibrium -- The Application To Economics Of Differential Topology And Global Analysis : Regular Differentiable Economies -- Least Concave Utility Functions. Includes Bibliographies.