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Author: Takashi Suzuki
Publisher: World Scientific
ISBN: 981121963X
Category : Business & Economics
Languages : en
Pages : 436
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Book Description
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.
Author: Takashi Suzuki
Publisher: World Scientific
ISBN: 981121963X
Category : Business & Economics
Languages : en
Pages : 436
Get Book Here
Book Description
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.
Author: Burkhard Heer
Publisher: Springer Science & Business Media
ISBN: 364203148X
Category : Business & Economics
Languages : en
Pages : 720
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Book Description
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.
Author: Mary E. Burfisher
Publisher: Cambridge University Press
ISBN: 1107132207
Category : Business & Economics
Languages : en
Pages : 443
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Book Description
The book provides a hands-on introduction to computable general equilibrium (CGE) models, written at an accessible, undergraduate level.
Author: Yves Balasko
Publisher: World Scientific
ISBN: 9814651729
Category : Business & Economics
Languages : en
Pages : 281
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Book Description
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.
Author: Jean-Jacques Laffont
Publisher:
ISBN: 9780262512190
Category : Microeconomics
Languages : en
Pages : 0
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Book Description
This text by one of Europe's leading economists covers a wide variety of public economics issues with great clarity and precision, illustrating them with a wealth of carefully-chosen examples and problems. Starting from theories of general equilibrium analysis, Laffont considers issues of market failure, collective decisionmaking, and distributional equity. He analyzes the important informational and motivational problems involved in planning solutions for market failures, and provides a rigorous justification for the theoretical foundations of public economics. Topics include the theories of externalities, public goods, collective choice, consumer surplus, cost-benefit analysis and/or theory of the second best, incomplete markets, and nonconvexities. For each Laffont begins with the classical foundations, moves on to consider the topic within a simple model of the economy, and concludes by integrating results from recent journal articles into this simple framework. In this way students are led to understand the classical tradition in the context of modern general equilibrium theory. The book concludes with eight problems with solutions, each interesting and rich enough to be considered a case study, and nine exercises without solutions; together they provide an excellent review of material covered in the text. The basic approach in each problem is to set up a general equilibrium model, discover the market failure by calculating the unfettered equilibrium, and develop an explicit planning solution. Jean-Jacques Laffont is Professor of Economics at the University of Social Sciences at Toulouse. Fundamentals of Economics may be used in either an advanced graduate-level course in public economics or in conjunction with a second volume forthcoming by the same author in a course in advanced microeconomics.
Author: John B. Shoven
Publisher: University of Chicago Press
ISBN: 0226754758
Category : Business & Economics
Languages : en
Pages : 444
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Book Description
Demographics is a vital field of study for understanding social and economic change and it has attracted attention in recent years as concerns have grown over the aging populations of developed nations. Demographic studies help make sense of key aspects of the economy, offering insight into trends in fertility, mortality, immigration, and labor force participation, as well as age, gender, and race specific trends in health and disability. Demography and the Economy explores the connections between demography and economics, paying special attention to what demographic trends can reveal about the sustainability of traditional social security programs and the larger implications for economic growth. The volume brings together some of the leading scholars working at the border between the two disciplines, and it provides an eclectic overview of both fields. Contributors also offer deeper analysis of a variety of issues such as the impact of greater wealth on choices about marriage and childbearing and the effects of aging populations on housing prices, Social Security, and Medicare.
Author: W. Hildenbrand
Publisher: Elsevier
ISBN: 1483275264
Category : Business & Economics
Languages : en
Pages : 228
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Book Description
Advanced Textbooks in Economics, Volume 6: Introduction to Equilibrium Analysis: Variations on Themes by Edgeworth and Walras focuses on the approaches developed and instituted by Edgeworth and Walras in the study of equilibrium analysis. The book first underscores exchange economies, core of a game, and large economies. Discussions focus on economies with a continuum of agents, Walras equilibrium, prices and demand, balancedness, and commodity space. The manuscript then ponders on limit theorems for the core and existence of competitive equilibria. Topics include equilibria without convexity of preferences, existence of equilibria for economies with convex preferences, individual demand, emergence of prices, asymptotic equal treatment for most, uniform boundedness of core allocations, and limit theorems for type and replica economies. The publication examines continuous, upper, and lower hemi-continuous correspondences, fixed point theorems, and separation of convex sets. The book is a vital source of data for economists and researchers interested in equilibrium analysis.
Author: David M. Kreps
Publisher: Princeton University Press
ISBN: 0691155836
Category : Business & Economics
Languages : en
Pages : 583
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Book Description
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.
Author: R. Preston McAfee
Publisher: Orange Grove Texts Plus
ISBN: 9781616100414
Category : Economics
Languages : en
Pages : 0
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Book Description
This book presents introductory economics material using standard mathematical tools, including calculus. It is designed for a relatively sophisticated undergraduate who has not taken a basic university course in economics. The book can easily serve as an intermediate microeconomics text. The focus of this book is on the conceptual tools. Contents: 1) What is Economics? 2) Supply and Demand. 3) The US Economy. 4) Producer Theory. 5) Consumer Theory. 6) Market Imperfections. 7) Strategic Behavior.
Author: Ross M. Starr
Publisher: Cambridge University Press
ISBN: 9780521564731
Category : Business & Economics
Languages : en
Pages : 280
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Book Description
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.
