General Equilibrium Theory: An Introduction treats the classic Arrow-Debreu general equilibrium model in a form accessible to graduate students and advanced undergraduates in economics and mathematics. Topics covered include mathematical preliminaries, households and firms, existence of general equilibrium, Pareto efficiency of general equilibrium, the First and Second Fundamental Theorems of Welfare Economics, the core and core convergences, future markets over time and contingent commodity markets under uncertainty. Demand, supply, and excess demand appear first as (point-valued) functions, then optionally as (set-valued) correspondences. The mathematics presented (with elementary proofs of the theorems) includes a real analysis, the Brouwer fixed point theorem, and separating and supporting hyperplane theorems. Optional chapters introduce the existence of equilibrium with set-valued supply and demand, the mathematics of upper and lower hemicontinuous correspondences, and the Kakutani fixed point theorem. The treatment emphasizes clarity and accessibility to the student through use of examples and intuition.

General Equilibrium Theory studies the properties and operation of free market economies. The field is a response to a series of questions originally outlined by Leon Walras about the operation of markets and posed by Frank Hahn in the following way: ‘Does the pursuit of private interest, through a system of interconnected deregulated markets, lead not to chaos but to coherence — and if so, how is that achieved?’ This is always an apt question, but particularly so given the ‘Global Financial Crisis’ that emerged from the operation of market economies in the Americas and Europe in mid to late 2008.The answer that General Equilibrium Theory provides to the Walras-Hahn question is that, under certain conditions coherence is possible, while under certain other conditions chaos, in various forms, is likely to prevail. The conditionality of either outcome is not always well understood — neither by proponents of, or antagonists to, the ‘free market position’. Consequently, this book attempts to show something of what General Equilibrium Theory has to say about the wisdom or otherwise of always relying on ‘market forces’ to manage complex socio-economic systems.

What is General Equilibrium Theory In economics, the general equilibrium theory seeks to explain the behavior of supply, demand, and prices in a whole economy that contains several or many markets that interact with one another. This is accomplished by attempting to demonstrate that the interaction of demand and supply will result in an overall general equilibrium. The theory of general equilibrium stands in contrast to the theory of partial equilibrium, which performs an analysis of a particular component of an economy while maintaining the status quo for all other aspects of the economy. Constant influences are deemed to be noneconomic, or, to put it another way, thought to be beyond the scope of economic study, when the economy is described as being in general equilibrium. The noneconomic impacts, on the other hand, are subject to change in response to changes in the economic factors; hence, the accuracy of the forecast made by an equilibrium model may be contingent on the independence of the economic components from the noneconomic ones. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: General equilibrium theory Chapter 2: Neoclassical economics Chapter 3: Perfect competition Chapter 4: Léon Walras Chapter 5: Welfare economics Chapter 6: Gérard Debreu Chapter 7: Edgeworth box Chapter 8: Arrow-Debreu model Chapter 9: Fundamental theorems of welfare economics Chapter 10: Walrasian auction Chapter 11: Walras's law Chapter 12: David Cass Chapter 13: Sonnenschein-Mantel-Debreu theorem Chapter 14: Lionel W. McKenzie Chapter 15: Competitive equilibrium Chapter 16: Mathematical economics Chapter 17: Roy Radner Chapter 18: Jacques Drèze Chapter 19: Disequilibrium macroeconomics Chapter 20: Excess demand function Chapter 21: Abstract economy (II) Answering the public top questions about general equilibrium theory. (III) Real world examples for the usage of general equilibrium theory in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of General Equilibrium Theory.

This monograph presents a general equilibrium methodology for microeconomic policy analysis. It is intended to serve as an alternative to the now classical, axiomatic general equilibrium theory as exposited in Debreu`s Theory of Value (1959) or Arrow and Hahn`s General Competitive Analysis (1971). The monograph consists of several essays written over the last decade. It also contains an appendix by Charles Steinhorn on the elements of O-minimal structures.

This book, as the title suggests, explains how General equilibrium, the dominant conceptual framework in mainstream economics, describes a perfectly impossible world. Even with its counterfactual assumptions taken for granted, it fails on many levels. Under the impressive editorship of Ackerman and Nadal, this book will appeal to students and resea

In the area of dynamic economics, David Cass’s work has spawned a number of important lines of research, including the study of dynamic general equilibrium theory, the concept of sunspot equilibria, and general equilibrium theory when markets are incomplete. Based on these contributions, this volume contains new developments in the field, written by Cass's students and co-authors.

In a wide number of economic problems the equilibrium values of the variables can be regarded as solutions of a parametrized constrained maximization problem. This occurs in static as well as dynamic models; in the latter case the choice variables are often paths in certain function spaces and thus can be regarded as points in infinite dimensional spaces. It is sometimes possible to determine qualitative properties of the solutions with respect to changes in the parameters of the model. The study of such properties is often called comparative statics; [15], [2], and [10]. Certain comparative static properties of the maxima have proven to be of particular importance for economic theory, since the works of Slutsky, Hicks, and Samuelson [15]: they have been for- lated in terms of synunetry and negative semidefiniteness of a matrix, called the Slutsky-Hicks-Samuelson matrix. A discussion of this matrix and its applications is given in Section 1. The study of these properties in economic theory, however, has so far been restricted to static models where the choice variable and the parameters are elements in Euclidean spaces, and where there is only one constraint.

The concept of general equilibrium, one of the central components of economic theory, explains the behavior of supply, demand, and prices by showing that supply and demand exist in balance through pricing mechanisms. The mathematical tools and properties for this theory have developed over time to accommodate and incorporate developments in economic theory, from multiple markets and economic agents to theories of production. Yves Balasko offers an extensive, up-to-date look at the standard theory of general equilibrium, to which he has been a major contributor. This book explains how the equilibrium manifold approach can be usefully applied to the general equilibrium model, from basic consumer theory and exchange economies to models with private ownership of production. Balasko examines properties of the standard general equilibrium model that are beyond traditional existence and optimality. He applies the theory of smooth manifolds and mappings to the multiplicity of equilibrium solutions and related discontinuities of market prices. The economic concepts and differential topology methods presented in this book are accessible, clear, and relevant, and no prior knowledge of economic theory is necessary. General Equilibrium Theory of Value offers a comprehensive foundation for the most current models of economic theory and is ideally suited for graduate economics students, advanced undergraduates in mathematics, and researchers in the field.

This book presents an original exposition of general equilibrium theory for advanced undergraduate and graduate-level students of economics. It contains detailed discussions of economic efficiency, competitive equilibrium, the first and second welfare theorems, the Kuhn-Tucker approach to general equilibrium, the Arrow-Debreu model, and rational expectations equilibrium and the permanent income hypothesis. Truman Bewley also treats optimal growth and overlapping generations models as special cases of the general equilibrium model. He uses the model and the first and second welfare theorems to explain the main ideas of insurance, capital theory, growth theory, and social security. It enables him to present a unified approach to portions of macro- as well as microeconomic theory. The book contains problems sets for most chapters.

A profound, innovative, and lively exploration of the nature of the theory at the very center of economics