"This book focuses on the foundations of general equilibrium theory, more specifically on the existence, uniqueness, stability, optimality and comparative static properties of equilibrium states. It also explores the question of the empirical relevance of equilibrium states. It highlights a series of 'relationship conditions' which are essential for the existence of equilibrium, but appear in optimality results." -- PUBLISHER WEBSITE.
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.
General Equilibrium Models of Monetary Economies: Studies in the Static Foundations of Monetary Theory is a collection of essays that addresses the integration of the theory of money and the theory of value by using a mathematical general equilibrium theory. The papers discuss monetary theory, microeconomic theory, bilateral trade, transactions costs, intertemporal allocation, and the value of money. The Arrow-Debreu model of Walrasian general equilibrium theory provides a framework to represent money as a device for facilitating trade among economic agents without the use of money as a medium of exchange and as a store of value. The essays analyze the rationale for using a medium of exchange, for using a store of value, and for holding of idle balances in equilibrium. The essays show that by explicit modeling of the structure and difficulties of trade, a powerful class of models which deny money and finance a role in the economy, has by itself shown to have provided the foundation for the structures of trade. The collection will prove helpful for economists, statistician, mathematicians, students or professors of economics and business.
Back to the future: a heterodox economist rewrites Keynes's General Theory of Employment, Interest, and Money to serve as the basis for a macroeconomics for the twenty-first century. John Maynard Keynes's General Theory of Employment, Interest, and Money was the most influential economic idea of the twentieth century. But, argues Stephen Marglin, its radical implications were obscured by Keynes's lack of the mathematical tools necessary to argue convincingly that the problem was the market itself, as distinct from myriad sources of friction around its margins. Marglin fills in the theoretical gaps, revealing the deeper meaning of the General Theory. Drawing on eight decades of discussion and debate since the General Theory was published, as well as on his own research, Marglin substantiates Keynes's intuition that there is no mechanism within a capitalist economy that ensures full employment. Even if deregulating the economy could make it more like the textbook ideal of perfect competition, this would not address the problem that Keynes identified: the potential inadequacy of aggregate demand. Ordinary citizens have paid a steep price for the distortion of Keynes's message. Fiscal policy has been relegated to emergencies like the Great Recession. Monetary policy has focused unduly on inflation. In both cases the underlying rationale is the false premise that in the long run at least the economy is self-regulating so that fiscal policy is unnecessary and inflation beyond a modest 2 percent serves no useful purpose. Fleshing out Keynes's intuition that the problem is not the warts on the body of capitalism but capitalism itself, Raising Keynes provides the foundation for a twenty-first-century macroeconomics that can both respond to crises and guide long-run policy.
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.
This book offers the basic grasp of general equilibrium theory that is a fundamental background for advanced work in virtually any sub-field of economics, and the thorough understanding of the methods of welfare economics, particularly in a general equilibrium context, that is indispensable for undertaking applied policy analysis. The book uses extensive examples, both simple ones intended to bolster basic concepts, and those illustrating application of the material to economics in practice.
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
General Equilibrium Analysis is a systematic exposition of the Walrasian model of economic equilibrium with a finite number of agents, as formalized by Arrow, Debreu and McKenzie at the beginning of the fifties and since then extensively used, worked and studied. Existence and optimality of general equilibrium are developed repeatedly under different sets of hypothesis which define some general settings and delineate different approaches to the general equilibrium existence problem. The final chapter is devoted to the extension of the general equilibrium model to economies defined on an infinite dimensional commodity space. The objective of General Equilibrium Analysis is to give to each problem in each framework the most general solution, at least for the present state of art. The intended readers are graduate students, specialists and researchers in economics, especially in mathematical economics. The book is appropriate as a class text, or for self-study.
