Mathematical Economics: Twenty Papers of Gerard Debreu

Mathematical Economics: Twenty Papers of Gerard Debreu collects the foundational works of Nobel laureate Gerard Debreu, spanning his contributions to economic theory from 1952 to 1983. The papers cover axiomatic analysis of economic equilibrium, utility theory, and the mathematical foundations of economic behavior. The collection includes Debreu's groundbreaking work on general equilibrium theory and his proofs regarding the existence of market equilibrium under specific conditions. His papers demonstrate the application of advanced mathematical concepts to economic problems, incorporating elements from topology, convex analysis, and functional analysis. The volume presents both theoretical frameworks and practical applications, featuring Debreu's investigations into consumer behavior, production theory, and capital markets. Several papers focus on the development of new mathematical tools and methods specifically designed for economic analysis. These works represent a decisive shift in economic theory toward increased mathematical rigor and formalization, establishing many of the analytical methods still used in contemporary economics. The collection demonstrates the power of abstract mathematics to clarify and advance economic understanding.

This book has limited reader reviews available online. The few academic readers who discussed it praised Debreu's mathematical rigor and formal proofs in economic theory, particularly his work on general equilibrium. Readers appreciated: - Clear mathematical notation - Logical progression of economic concepts - Focus on precise definitions and theorems - Historical importance of the papers Common criticisms: - Very abstract and technical writing style - Requires advanced math background - Limited practical applications - Not suitable for beginners Public ratings/reviews: Goodreads: 4.0/5 (2 ratings, 0 written reviews) Amazon: No reviews Google Books: No reviews Due to its specialized nature, most discussion occurs in academic papers citing Debreu's work rather than public review platforms. The book appears primarily used by economics researchers and graduate students rather than general readers.

Theory of Value: An Axiomatic Analysis of Economic Equilibrium by Kenneth Arrow A mathematical treatment of general equilibrium theory using precise axioms and set theory to establish fundamental economic principles.

General Competitive Analysis by Kenneth Arrow A comprehensive examination of competitive equilibrium theory through advanced mathematical methods and rigorous proofs.

Capital Theory and the Distribution of Income by Michio Morishima An integration of economic theory with linear algebra and differential equations to analyze capital accumulation and income distribution.

Recursive Methods in Economic Dynamics by Nancy Stokey, Robert Lucas, and Edward Prescott A systematic presentation of recursive methods and dynamic programming techniques for solving economic models.

Value and Capital by John R. Hicks A mathematical foundation for economic equilibrium theory using calculus and comparative statics to analyze market behavior.

📚 Gerard Debreu won the 1983 Nobel Prize in Economics for his rigorous reformulation of general equilibrium theory using mathematical methods. 🎓 The book includes his groundbreaking paper "Theory of Value," which revolutionized how economists use mathematical models to understand market behavior. 💡 Debreu was originally trained as a mathematician in France before switching to economics, which heavily influenced his precise, axiomatic approach to economic theory. 🌟 His work on general equilibrium theory, featured in this collection, proved the existence of price systems that simultaneously balance supply and demand across all markets. 🔄 The mathematical techniques Debreu introduced in these papers, particularly his use of convex analysis and topology, are now standard tools in modern economic theory.