Handbook of Mathematical Economics PDF Download

Author: Kenneth J. Arrow
Publisher: North Holland
ISBN:
Category : Business & Economics
Languages : en
Pages : 408

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Book Description
V.2: Mathematical approaches to microeconomic theory. Mathematical approaches to competitive equilibrium.

Author: Charalambos D. Aliprantis
Publisher: Springer Science & Business Media
ISBN: 3662218933
Category : Business & Economics
Languages : en
Pages : 294

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Book Description
This monograph is a systematic exposition of the authors' research on general equi librium models with an infinite number of commodities. It is intended to serve both as a graduate text on aspects of general equilibrium theory and as an introduction, for economists and mathematicians working in mathematical economics, to current research in a frontier area of general equilibrium theory. To this end, we have pro vided two introductory chapters on the basic economic model and the mathematical framework. The exercises at the end of each section complement the main exposition. Chapter one is a concise but substantiative discussion of the questions of exis tence and optimality of competitive equilibria in the Walrasian general equilibrium model of an economy with a finite number of households, firms and commodities. Our extension of this model to economies with an infinite number of commodities constitutes the core material of this book and begins in chapter three. Readers fa miliar with the Walrasian general equilibrium model as exposited in (13], [23] or [52] may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.

Author: David de la Croix
Publisher: Cambridge University Press
ISBN: 9780521001151
Category : Business & Economics
Languages : en
Pages : 400

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Book Description
This book provides an in-depth treatment of the overlapping generations model in economics incorporating production.

Author: Charalambos D. Aliprantis
Publisher: Springer Science & Business Media
ISBN: 364261521X
Category : Business & Economics
Languages : en
Pages : 295

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Book Description
This monograph is a systematic exposition of the authors' research on general equi librium models with an infinite number of commodities. It is intended to serve both as a graduate text on aspects of general equilibrium theory and as an introduction, for economists and mathematicians working in mathematical economics, to current research in a frontier area of general equilibrium theory. To this end, we have pro vided two introductory chapters on the basic economic model and the mathematical framework. The exercises at the end of each section complement the main exposition. Chapter one is a concise but substantiative discussion of the questions of exis tence and optimality of competitive equilibria in the Walrasian general equilibrium model of an economy with a finite number of households, firms and commodities. Our extension of this model to economies with an infinite number of commodities constitutes the core material of this book and begins in chapter three. Readers fa miliar with the Walrasian general equilibrium model as exposited in [13], [23J or [52J may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.

Author: John Stachurski
Publisher: Springer Science & Business Media
ISBN: 3642223974
Category : Business & Economics
Languages : en
Pages : 454

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Book Description
Optimal growth theory studies the problem of efficient resource allocation over time, a fundamental concern of economic research. Since the 1970s, the techniques of nonlinear dynamical systems have become a vital tool in optimal growth theory, illuminating dynamics and demonstrating the possibility of endogenous economic fluctuations. Kazuo Nishimura's seminal contributions on business cycles, chaotic equilibria and indeterminacy have been central to this development, transforming our understanding of economic growth, cycles, and the relationship between them. The subjects of Kazuo's analysis remain of fundamental importance to modern economic theory. This book collects his major contributions in a single volume. Kazuo Nishimura has been recognized for his contributions to economic theory on many occasions, being elected fellow of the Econometric Society and serving as an editor of several major journals. Chapter “Introduction” is available open access under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License via link.springer.com.

Author: Truman F. Bewley
Publisher: Harvard University Press
ISBN: 0674020928
Category : Business & Economics
Languages : en
Pages : 615

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Book Description
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.

Author: John Eatwell
Publisher: W. W. Norton
ISBN: 9780393958539
Category : Economics
Languages : en
Pages : 346

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Book Description
General Equilibrium deals with a central theme in modern economic theory - the economy considered as a system of interrelated markets.

Author: Stephen E. Spear
Publisher: Emerald Group Publishing
ISBN: 1837530521
Category : Business & Economics
Languages : en
Pages : 261

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Book Description
The 800 pound gorilla in the room of macroeconomics is the question of why the overlapping generations model didn’t become the central workhorse model for macroeconomics, as opposed to the neoclassical growth model. The authors here explore the co-evolution of the two models.

Author: Olivier Blanchard
Publisher: MIT Press
ISBN: 9780262022835
Category : Business & Economics
Languages : en
Pages : 674

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Book Description
The main purpose of Lectures on Macroeconomics is to characterize and explain fluctuations in output, unemployment and movement in prices. Lectures on Macroeconomics provides the first comprehensive description and evaluation of macroeconomic theory in many years. While the authors' perspective is broad, they clearly state their assessment of what is important and what is not as they present the essence of macroeconomic theory today.The main purpose of Lectures on Macroeconomics is to characterize and explain fluctuations in output, unemployment and movement in prices. The most important fact of modern economic history is persistent long term growth, but as the book makes clear, this growth is far from steady. The authors analyze and explore these fluctuations. Topics include consumption and investment; the Overlapping Generations Model; money; multiple equilibria, bubbles, and stability; the role of nominal rigidities; competitive equilibrium business cycles, nominal rigidities and economic fluctuations, goods, labor and credit markets; and monetary and fiscal policy issues. Each of chapters 2 through 9 discusses models appropriate to the topic. Chapter 10 then draws on the previous chapters, asks which models are the workhorses of macroeconomics, and sets the models out in convenient form. A concluding chapter analyzes the goals of economic policy, monetary policy, fiscal policy, and dynamic inconsistency. Written as a text for graduate students with some background in macroeconomics, statistics, and econometrics, Lectures on Macroeconomics also presents topics in a self contained way that makes it a suitable reference for professional economists.

Author: Bruno Schönfelder
Publisher: Springer Science & Business Media
ISBN: 3642457134
Category : Business & Economics
Languages : en
Pages : 252

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Book Description
The list of those to whom I am indebted is a long one. Prof. Neil Wallace (University of Minnesota) stimulated my interest in the kind of models with which the book deals. I am grateful for a large number of conversations with him. I learned a lot from him and will always be proud that I have been one of his student. I hope that he is not dissappointed with the outcome. I am deeply indebted to Prof. Dr. Hans-Werner Sinn (University of Munich). His observations and critical remarks were instrumental for a great number of changes and improvements which I was able to introduce while revising the manuscript again and again, and rethinking the basic arguments. I also want to thank Prof. Dr. Utta Gruber (University of Munich) for her helpful comments and for her support. I am very much obliged to Prof. Dr. Dr. h. c. Hans Moller (University of Munich). For many years I have had the honour of a nearly continuous dialogue with him. I am also grateful to Prof. Dr. Werner Gumpel (University). The stimulating atmosphere and the research opportunities which were provided by his seminar contributed a lot to my work. Finally I want to thank my wife Sigrid for looking through the English draft of this book and correcting numerous linguistic flaws. The remaining errors are of course mine. CONTENTS Page v Preface 1. INTRODUCTION 1. 1.