'Bert Tieben is very well read in the history of economic thought and provides an overview of one of the basic concepts of economics that is unrivalled both in its scope and in its thoughtful and detailed discussion of the various currents and schools. It goes right to the heart of economic theory and asks some pertinent questions about the limits and the future of economic theorizing. That is, I think, what sets it apart from many other studies in the history of economic thought: it is history with an eye to the future, and it does all this without making any demands on the mathematical skills of the reader. This book should therefore appeal to everybody who is interested in the methodology of economics and in exploring the boundaries of economic analysis.' Hans Visser, VU University, Amsterdam, The Netherlands This book deals with one of the most puzzling concepts in economic science, that of economic equilibrium. In modern economics, equilibrium is considered a key assumption, but its role is contested by economists both from within the mainstream and from rival schools of thought. What explains the contradictory assessments of the equilibrium concept in economics? Do economists belonging to different traditions disagree about the definition of equilibrium or do they adopt different rules for assessing scientific status? In this unique and exhaustive study, Bert Tieben answers these questions by investigating the history of equilibrium economics from 1700 to the present day. He concludes that ideology strongly coloured the development of this branch of theory, helping to explain the vehemence of the debates surrounding the concept. He also argues that scientific progress in economics may indeed be fostered by such opposition and contention, and calls for cross fertilization and stronger cooperation between the different schools of thought. This resourceful book will appeal to post graduate students and scholars in the history of economic thought and economic methodology. Both neoclassical and heterodox economists, most notably Austrian, post Keynesian and institutional economists, will also find much to interest them.

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 brings together the author's pioneering work, written over the last twenty years, on the use of differential methods in general equilibrium theory.

This study of the fundamental theoretical underpinnings of modern economies examines how economists define and categorize the market. It suggests that modeling a social science such as economics on the physical/mathematical sciences has created intractable problems, and that the basic structure of the theory needs rethinking.A meticulously researched work in the field of mathematical economics and pure theory, The Invisible Hand traces the evolution of general economic equilibrium theory in its rich interaction with the physical sciences over a period of more than 150 years. The authors discuss how the "invisible hand" that balances physical processes was inspiration and model for the creation of general economic equilibrium theory.Ingrao and Israel review fundamental concepts of the theory, showing how its early forms, strictly analogous to mechanical equilibrium, arose from the cultural atmosphere generated by Newtonianism and the French Enlightenment. They describe developments and changes in the theory from the work of Leon Walras and Vilfredo Pareto through restructuring by the Vienna group and John Von Neumann and the contributions of the Robbins group at the London School of Economics, to its current formulations in the work of Irving Fisher, Paul Samuelson, Kenneth Arrow, and Gerard Debreu.Concluding chapters survey the results obtained in attempts to deal with questions of the existence of equilibrium, its uniqueness, and the problem of global stability. Ingrao and Israel find that the theory has arrived at a dead end, which raises serious doubts about the internal consistency of the basic model.Bruna Ingrao is Associate Professor of Economics at the University of Sassari and Giorgio Israel is Associate Professor of Mathematics at the University of Rome.

2010 marks the hundredth anniversary of the death of Léon Walras, the brilliant originator and first formaliser of general equilibrium theory – one of the pillars of modern economic theory. In advancing much derided practical solutions Walras also displayed more concern for the problems of living in a second best world than is common in modern pure theories of the invisible hand, efficient market hypothesis, DSGE macroeconomics or the thinking of some contemporary free market admirers all based on general equilibrium theory. This book brings contributions from the likes of Kenneth Arrow, Alan Kirman, Richard Posner, Amartya Sen and Robert Solow to share their thoughts and reflections on the theoretical heritage of Léon Walras. Some authors reminisce on the part they played in the development of modern general economics theory; others reflect on the crucial part played by general equilibrium in the development of macroeconomics, microeconomics, growth theory, welfare economics and the theory of justice; others still complain about the wrong path economic theory took under the influence of post 1945 developments in general equilibrium theory.

The economic theory of general equilibrium underpins the most important models used in economic theory in general and in its more specialized areas such as macroeconomics, international trade, environmental economics, growth theory, and developmental economics. In Foundations of the Theory of General Equilibrium, leading academic scholar, Yves Balasko offers a good introduction to the economic theory of general equilibrium and makes use of various mathematical tools as intuitive and easy as possible. The second half of the book addresses properties of the general equilibrium model that are still at the frontier of current research. These properties deal with the characterization of economies with a unique equilibrium and, more generally, with the relationships between the number of equilibria and the fundamentals of an economy.

Title on cover: Oxford dictionary of economics.