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Theory of Value: An Axiomatic Analysis of Economic Equilibrium/ by Gerard Debreu

By: Language: English Publication details: Yale University Press, 1972. London:Description: 114 pISBN:
  • 9780300015591
Subject(s): DDC classification:
  • 330.155 DEB-T
Contents:
Introduction The Commodity Space Preferences and Utility Functions Production and Production Sets Market Equilibrium The Existence of an Equilibrium Pareto Optimality and Competitive Equilibria Mathematical Appendix
Summary: Theory of Value by Gerard Debreu is a foundational work in mathematical economics that provides a rigorous, axiomatic framework for understanding economic equilibrium. The book systematically develops the theory of general equilibrium using advanced mathematical techniques, particularly set theory and topology. Debreu formulates and proves the existence of equilibrium in a competitive market by defining individual preferences, production capabilities, and price mechanisms through a set of logical axioms. His work also explores the concepts of Pareto efficiency, market stability, and the role of convexity in economic decision-making. This book is a landmark contribution to economic theory, shaping modern microeconomics and mathematical economics by offering a precise and abstract formulation of value and resource allocation in competitive markets.
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Books Books Library, SPAB 330.155 DEB-T (Browse shelf(Opens below)) Available 011407
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Introduction
The Commodity Space
Preferences and Utility Functions
Production and Production Sets
Market Equilibrium
The Existence of an Equilibrium
Pareto Optimality and Competitive Equilibria
Mathematical Appendix

Theory of Value by Gerard Debreu is a foundational work in mathematical economics that provides a rigorous, axiomatic framework for understanding economic equilibrium. The book systematically develops the theory of general equilibrium using advanced mathematical techniques, particularly set theory and topology.

Debreu formulates and proves the existence of equilibrium in a competitive market by defining individual preferences, production capabilities, and price mechanisms through a set of logical axioms. His work also explores the concepts of Pareto efficiency, market stability, and the role of convexity in economic decision-making.

This book is a landmark contribution to economic theory, shaping modern microeconomics and mathematical economics by offering a precise and abstract formulation of value and resource allocation in competitive markets.

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