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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.
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.
The aim of this book is to incorporate Marshallian ideas such as external increasing returns and monopolistic competitions into the general equilibrium framework of Walrasian tradition. New chapters and sections have been added to this revised and expanded edition of General Equilibrium Analysis of Production and Increasing Returns (World Scientific, 2009).The new material includes a presentation of equilibrium existence and core equivalence theorems for an infinite horizon economy with a measure space of consumers. These results are currently the focus of extensive studies by mathematical theorists, and are obtained by an application of an advanced mathematical concept called saturated (super-atomless) measure space.The second major change is the inclusion of a simple toy model of a liberal society which implements the difference principle proposed by J Rawls as a principle of distributive justice. This new section opens up a possibility to connect theoretical economics and political philosophy.Thirdly, the author presents the marginal cost pricing equilibrium and discusses welfare properties of the external increasing returns, which also belong to Marshall/ Pigou tradition of the Cambridge school.Finally, a new mathematical appendix treats basics of singular homology theory. Although the fixed point theorem is originally a theorem of algebraic topology, most economic students know its proof only in the context of the differentiable manifold theory presented by J Milnor. Considering the significance of the fixed point theorem and its playing a key role in general equilibrium theory, the purpose of this new appendix is to provide readers with the idea of a proof of Brower's fixed point theorem from the 'right place'.This volume will be helpful for graduate students and researchers of mathematical economics, game theory, and microeconomics.
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.
Modern business cycle theory and growth theory uses stochastic dynamic general equilibrium models. In order to solve these models, economists need to use many mathematical tools. This book presents various methods in order to compute the dynamics of general equilibrium models. In part I, the representative-agent stochastic growth model is solved with the help of value function iteration, linear and linear quadratic approximation methods, parameterised expectations and projection methods. In order to apply these methods, fundamentals from numerical analysis are reviewed in detail. In particular, the book discusses issues that are often neglected in existing work on computational methods, e.g. how to find a good initial value. In part II, the authors discuss methods in order to solve heterogeneous-agent economies. In such economies, the distribution of the individual state variables is endogenous. This part of the book also serves as an introduction to the modern theory of distribution economics. Applications include the dynamics of the income distribution over the business cycle or the overlapping-generations model. In an accompanying home page to this book, computer codes to all applications can be downloaded.
The definitive graduate textbook on modern macroeconomics Macroeconomic Theory is the most up-to-date graduate-level macroeconomics textbook available today. This revised second edition emphasizes the general equilibrium character of macroeconomics to explain effects across the whole economy while taking into account recent research in the field. It is the perfect resource for students and researchers seeking coverage of the most current developments in macroeconomics. Michael Wickens lays out the core ideas of modern macroeconomics and its links with finance. He presents the simplest general equilibrium macroeconomic model for a closed economy, and then gradually develops a comprehensive model of the open economy. Every important topic is covered, including growth, business cycles, fiscal policy, taxation and debt finance, current account sustainability, and exchange-rate determination. There is also an up-to-date account of monetary policy through inflation targeting. Wickens addresses the interrelationships between macroeconomics and modern finance and shows how they affect stock, bond, and foreign-exchange markets. In this edition, he also examines issues raised by the most recent financial crisis, and two new chapters explore banks, financial intermediation, and unconventional monetary policy, as well as modern theories of unemployment. There is new material in most other chapters, including macrofinance models and inflation targeting when there are supply shocks. While the mathematics in the book is rigorous, the fundamental concepts presented make the text self-contained and easy to use. Accessible, comprehensive, and wide-ranging, Macroeconomic Theory is the standard book on the subject for students and economists. The most up-to-date graduate macroeconomics textbook available today General equilibrium macroeconomics and the latest advances covered fully and completely Two new chapters investigate banking and monetary policy, and unemployment Addresses questions raised by the recent financial crisis Web-based exercises with answers Extensive mathematical appendix for at-a-glance easy reference This book has been adopted as a textbook at the following universities: American University Bentley College Brandeis University Brigham Young University California Lutheran University California State University - Sacramento Cardiff University Carleton University Colorado College Fordham University London Metropolitan University New York University Northeastern University Ohio University - Main Campus San Diego State University St. Cloud State University State University Of New York - Amherst Campus State University Of New York - Buffalo North Campus Temple University - Main Texas Tech University University of Alberta University Of Notre Dame University Of Ottawa University Of Pittsburgh University Of South Florida - Tampa University Of Tennessee University Of Texas At Dallas University Of Washington University of Western Ontario Wesleyan University Western Nevada Community College
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.
The most common mode of analysis in economic theory is to assume equilibrium. Yet, without a proper theory of how economies behave in disequilibrium, there is no foundation for such a practice. The necessary step in proposing a foundation is the formulation of a theory of stability, and in this 1984 book, Professor Fisher is primarily concerned with this subject, although disequilibrium behavior itself is analyzed. The author first undertakes a review of the existing literature on the stability of general equilibrium. He then proposes a more satisfactory general model in which agents realize their state of disequilibrium and act on arbitrage opportunities. The interrelated topics of the role of money, the nature of quantity constraints, and the optimal behaviour of arbitraging agents are extensively treated.
Provides a rigorous treatment of some of the basic tools of economic modeling and reasoning, along with an assessment of the strengths and weaknesses of these tools.
General Equilibrium, Growth, and Trade, Volume II: The Legacy of Lionel McKenzie presents the impact of Lionel McKenzie's contributions on modern economics. This book discusses McKenzie's researches that are relevant in applied economic fields, including general equilibrium, optimal growth, and international trade. Organized into three parts encompassing 24 chapters, this volume begins with an overview of the existence of competitive equilibrium in an economy with a finite number of agents and commodities. This text then presents two analyses that are basically responses to criticism of the development of real indeterminacy. Other chapters consider McKenzie's assumption of irreducibility, which plays a significant role in showing how compensated equilibria will be uncompensated equilibria because agents have cheaper net trade vectors in their feasible sets. This book discusses as well some properties of competitive equilibria for dynamic exchange economies with an infinite horizon and incomplete financial markets. This book is a valuable resource for economists and economic theorists.