Download or read book The Dynamic Systems of Basic Economic Growth Models written by Bjarne S. Jensen and published by Springer Science & Business Media. This book was released on 2012-02-02 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two central problems in the pure theory of economic growth are analysed in this monograph: 1) the dynamic laws governing the economic growth processes, 2) the kinematic and geometric properties of the set of solutions to the dynamic systems. With allegiance to rigor and the emphasis on the theoretical fundamentals of prototype mathematical growth models, the treatise is written in the theorem-proof style. To keep the exposition orderly and as smooth as possible, the economic analysis has been separated from the purely mathematical issues, and hence the monograph is organized in two books. Regarding the scope and content of the two books, an "Introduction and Over view" has been prepared to offer both motivation and a brief account. The introduc tion is especially designed to give a recapitulation of the mathematical theory and results presented in Book II, which are used as the unifying mathematical framework in the analysis and exposition of the different economic growth models in Book I. Economists would probably prefer to go directly to Book I and proceed by consult ing the mathematical theorems of Book II in confirming the economic theorems in Book I. Thereby, both the independence and interdependence of the economic and mathematical argumentations are respected.

Download or read book Modeling Dynamic Economic Systems written by Matthias Ruth and published by Springer Science & Business Media. This book was released on 2012-02-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the dynamic processes in economic systems, concentrating on the extraction and use of the natural resources required to meet economic needs. Sections cover methods for dynamic modeling in economics, microeconomic models of firms, modeling optimal use of both nonrenewable and renewable resources, and chaos in economic models. This book does not require a substantial background in mathematics or computer science.

Download or read book The Elements and Dynamic Systems of Economic Growth and Trade Models written by Bjarne S. Jensen and published by Palgrave Macmillan. This book was released on 2024-06-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated and expanded book examines the fundamentals of economic growth models as expressed by dynamic systems of nonlinear differential equations. With homogeneous dynamic systems as the unifying mathematical framework, the time paths and long-run stability properties of the solutions to classical, neoclassical, and modern macroeconomic growth models are analyzed. The general structure and solutions of two-sector and multi-sector growth models are also explored, with special attention given to the evolution of output compositions and sectoral factor allocations involved in Walrasian general equilibrium dynamics. Ramsey optimal growth (saving) models with variable intertemporal substitution (non-homothetic utility) are discussed to demonstrate the ability to generate a realistic historically observed evolution of economic per capita growth rates and saving rates. The book aims to highlight how basic economic growth models can be extended widely, including international trading economies, world market prices, commodity trade patterns, and issues related to globalization, migrations, and international factor movements. It will be relevant to students and researchers interested in economic growth and trade policy.

Download or read book Dynamic Systems Economic Growth and the Environment written by Jesús Crespo Cuaresma and published by Springer Science & Business Media. This book was released on 2009-10-20 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The major goal of the book is to create an environment for matching different d- ciplinary approaches to studying economic growth. This goal is implemented on the basis of results of the Symposium “Applications of Dynamic Systems to E- nomic Growth with Environment” which was held at the International Institute for Applied Systems Analysis (IIASA) on the 7th–8th of November, 2008, within the IIASA Project “Driving Forces of Economic Growth” (ECG). The symposium was organized by coordinators of the ECG project: Jesus Crespo-Cuaresma from IIASA World Population Program, and Tapio Palokangas and Alexander Tarasyev from IIASA Dynamic Systems Program. The book addresses the issues of sustainability of economic growth in a cha- ing environment, global warming and exhausting energy resources, technological change, and also focuses on explanations of signi?cant ?uctuations in countries’ growth rates. The chapters focus on the analysis of historical economic growth - periences in relation to environmental policy, technological change, development of transport infrastructure, population issues and environmental mortality. The book is written in a popular-science style, accessible to any intelligent lay reader. The prime audience for the book is economists, mathematicians and en- neersworkingonproblemsofeconomicgrowthandenvironment.Themathematical part of the book is presented in a rigorous manner, and the detailed analysis is - pected to be of interest to specialists in optimal control and applications to economic modeling. The book consists of four interrelated parts.

Download or read book Economic Dynamics written by Wei-Bin Zhang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of economic development is a branch of economic dynamics. Any discussion of the theory must involve dynamics even though not all dynamic problems are necessarily related to economic development. The theory's primary locus is upon the nice paths of economic variables. Stationary states, which have been the main concern of modem economic development theory, are actually special cases of economic dynamics. In this study, we propose an economic development theory within the framework of input-output systems and neoclassical economics. No political problems will be dealt with, although this does not mean that questions such as why Japan had a higher growth rate than China in the past are not important. Similarly, rather than dealing with the psychological and institutional aspects of in economic development processes we only suggest ways (or methods, as Hicks would call them) for analyzing what determines economic development from the point of view of "pure" economics. Our main contribution to economic growth theory is that we investigate various nonlinear dynamic phenomena such as bifurcations and economic cycles. We emphasize that oscillations and structural changes are not rare but universal in a progressive economy. No economic system can be stabilized forever if change is permitted.

Download or read book Economic Growth second edition written by Robert J. Barro and published by MIT Press. This book was released on 2003-10-10 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: The long-awaited second edition of an important textbook on economic growth—a major revision incorporating the most recent work on the subject. This graduate level text on economic growth surveys neoclassical and more recent growth theories, stressing their empirical implications and the relation of theory to data and evidence. The authors have undertaken a major revision for the long-awaited second edition of this widely used text, the first modern textbook devoted to growth theory. The book has been expanded in many areas and incorporates the latest research. After an introductory discussion of economic growth, the book examines neoclassical growth theories, from Solow-Swan in the 1950s and Cass-Koopmans in the 1960s to more recent refinements; this is followed by a discussion of extensions to the model, with expanded treatment in this edition of heterogenity of households. The book then turns to endogenous growth theory, discussing, among other topics, models of endogenous technological progress (with an expanded discussion in this edition of the role of outside competition in the growth process), technological diffusion, and an endogenous determination of labor supply and population. The authors then explain the essentials of growth accounting and apply this framework to endogenous growth models. The final chapters cover empirical analysis of regions and empirical evidence on economic growth for a broad panel of countries from 1960 to 2000. The updated treatment of cross-country growth regressions for this edition uses the new Summers-Heston data set on world income distribution compiled through 2000.

Download or read book The Economics of Growth written by Philippe Aghion and published by MIT Press. This book was released on 2008-12-19 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, rigorous, and up-to-date introduction to growth economics that presents all the major growth paradigms and shows how they can be used to analyze the growth process and growth policy design. This comprehensive introduction to economic growth presents the main facts and puzzles about growth, proposes simple methods and models needed to explain these facts, acquaints the reader with the most recent theoretical and empirical developments, and provides tools with which to analyze policy design. The treatment of growth theory is fully accessible to students with a background no more advanced than elementary calculus and probability theory; the reader need not master all the subtleties of dynamic programming and stochastic processes to learn what is essential about such issues as cross-country convergence, the effects of financial development on growth, and the consequences of globalization. The book, which grew out of courses taught by the authors at Harvard and Brown universities, can be used both by advanced undergraduate and graduate students, and as a reference for professional economists in government or international financial organizations. The Economics of Growth first presents the main growth paradigms: the neoclassical model, the AK model, Romer's product variety model, and the Schumpeterian model. The text then builds on the main paradigms to shed light on the dynamic process of growth and development, discussing such topics as club convergence, directed technical change, the transition from Malthusian stagnation to sustained growth, general purpose technologies, and the recent debate over institutions versus human capital as the primary factor in cross-country income differences. Finally, the book focuses on growth policies—analyzing the effects of liberalizing market competition and entry, education policy, trade liberalization, environmental and resource constraints, and stabilization policy—and the methodology of growth policy design. All chapters include literature reviews and problem sets. An appendix covers basic concepts of econometrics.

Download or read book Economic Growth and Development written by Sibabrata Das and published by Springer. This book was released on 2015-01-12 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growth theory provides a rich and versatile analytical framework through which fundamental questions about economic development can be examined. This book is an introduction to the newer features of growth theory that are particularly useful in examining the issues of economic development. Structural transformation, in which developing countries transition from traditional production in largely rural areas to modern production in largely urban areas, is an important causal force in creating early economic growth, and as such, is made central in this approach. Towards this end, the authors augment the Solow model to include endogenous theories of saving, fertility, human capital, institutional arrangements, and policy formation, creating a single two-sector model of structural transformation. Based on applied research and practical experiences in macroeconomic development, the model in this book presents a more rigorous, quantifiable, and explicitly dynamic dual economy approach to development. Common microeconomic foundations and notation are used throughout, with each chapter building on the previous material in a continuous flow. With its single model and focus on data and policy analysis, this text is intended for beginning graduate students and policy makers interested in economic development.

Download or read book The Hamiltonian Approach to Dynamic Economics written by David Cass and published by Academic Press. This book was released on 2014-05-10 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hamiltonian Approach to Dynamic Economics focuses on the application of the Hamiltonian approach to dynamic economics and attempts to provide some unification of the theory of heterogeneous capital. Emphasis is placed on the stability of long-run steady-state equilibrium in models of heterogeneous capital accumulation. Generalizations of the Samuelson-Scheinkman approach are also given. Moreover, conditions are sought on the geometry of the Hamiltonian function (that is, on static technology) that suffice to preserve under (not necessarily small) perturbation the basic properties of the Hamiltonian dynamical system. Comprised of eight essays, this book begins with an introduction to Hamiltonian dynamics in economics, followed by a discussion on optimal steady states of n-sector growth models when utility is discounted. Optimal growth and decentralized or descriptive growth models in both continuous and discrete time are treated as applications of Hamiltonian dynamics. Theproblem of optimal growth with zero discounting is considered, with emphasis on a steepness condition on the Hamiltonian function. The general problem of decentralized growth with instantaneously adjusted expectations about price changes is also analyzed, along with the global asymptotic stability of optimal control systems with applications to the theory of economic growth. This monograph will be of value to mathematicians and economists.

Download or read book Foundations of Economic Development written by Arvid Aulin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: DYNAMIC ECONOMICS with increasing returns is extended to cope with economic growth, the business cycles and the irregular swings in the long-term development as different aspects of the same dynamical system, the economic system "as a whole". HUMAN CAPITAL emerges as the seminal concept: economic growth is in this dynamics causally reduced to the growth of human capital and thus to the growth of exact scientific knowledge. An analysis of this knowledge shows that quality education in hard sciences must be a prime target of future economic policies. A CAUSAL STRUCTURE, new in economics, underlies the extended dynamics. To enable students to study and to improve it, a detailled introduction to nonlinear causality is given, emphasizing the points relevant to this causal structure. NATIONAL ACCOUNTING and input-output dynamics are suggested to be extended to include also the production prices and production of human capital and of human time, by using a method of calculation indicated in detail in the book.

Download or read book Economic Growth Theory written by Wei-Bin Zhang and published by Routledge. This book was released on 2018-01-18 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a new theoretical framework to examine the issues of economic growth and development. Providing analysis of economic dynamics in a competitive economy under government intervention in infrastructure and income distribution, the book develops a unique analytical framework under the influence of traditional neoclassical growth theory. However, in a departure from neoclassical growth theory it examines both the Solow-Swan and the Ramsey growth models, introducing a utility function which treats consumer choices in ways critically different to previous approaches. Using practical examples and models the book demonstrates how this new direction can effectively analyze the key issues of economic growth, in a compact and comprehensive manner.

Download or read book Growth Theory Nonlinear Dynamics and Economic Modelling written by William A. Brock and published by Edward Elgar Publishing. This book was released on 2001-01-01 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Buz Brock's contribution to economic theory in general and economic dynamics in particular are characterized by an unmatched richness of ideas and by deep theoretical, empirical as well as computational analysis. Brock's contribution to economic dynamics range from one extreme of the field, global stability of stochastic optimal growth models, to another extreme, market instability and nonlinearity in economic and financial modelling and data analysis. But his work also includes environmental and economic policy issues and, more recently, the modelling of markets as complex adaptive systems. This collection of essays reflects Brock's richness of ideas that have motivated economists for more than three decades already and will continue to influence many economists for the next decades to come.' - Cars H. Hommes, University of Amsterdam, The Netherlands 'Buz Brock has been, from the beginning of his career, one of the most original thinkers in dynamic economics. His early work showed that growth with random elements could be studied effectively and above all posed exactly the right questions. His more recent work has brought complexity theory to the fore and shown its implications for financial and other markets. In the process, he has both introduced and used econometric tools to show the relevance of his work to empirically observed phenomena. It is very useful to have his work in collected form.' - Kenneth J. Arrow, Stanford University, US This outstanding collection of William Brock's essays illustrates the power of dynamic modelling to shed light on the forces for stability and instability in economic systems. The articles selected reflect his best work and are indicative both of the type of policy problem that he finds challenging and the complex methodology that he uses to solve them. Also included is an introduction by Brock to his own work, which helps tie together the main aspects of his research to date.

Download or read book Optimal Economic Growth and Non Stable Population written by Evert van Imhoff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies optimal economic growth in a closed economy which experiences non-stable population growth. The economy is described by means of a neoclassical growth model which distinguishes overlapping generations within the population. The basic neoclassical growth model is extended to include various types of technical change, as well as investment in human capital or education. The research described in this book connects the analytical tools of traditional growth theory with the actual demographic experience of most industrialized countries. The role of demographic processes in the growth theoretical literature is discussed in the next section. The discussion will show that growth theory needs to extend its scope through the construction of growth models which explicitly recognize demographic forces as a potential source of non-stationarities. This book constitutes a first attempt at such a demographic extension. 1.1 Growth theory and demographic change The theory of economic growth (e.g. Solow, 1970; Burmeister & Dobell, 1970; Wan, 1971) attempts to describe and to explain the long-run development of an economic system (or, in short, economy). An economic system is essentially dynamic in nature. Among the most important sources of dynamics in economics are the following: accumulation of capital (investment); technical change; population growth. Some of these dynamic forces are, at least in part, endogenous to the economic system (i.e. determined by economic variables).

Download or read book The Forces of Economic Growth written by Alfred Greiner and published by Princeton University Press. This book was released on 2016-06-28 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: In economics, the emergence of New Growth Theory in recent decades has directed attention to an old and important problem: what are the forces of economic growth and how can public policy enhance them? This book examines major forces of growth--including spillover effects and externalities, education and formation of human capital, knowledge creation through deliberate research efforts, and public infrastructure investment. Unique in emphasizing the importance of different forces for particular stages of development, it offers wide-ranging policy implications in the process. The authors critically examine recently developed endogenous growth models, study the dynamic implications of modified models, and test the models empirically with modern time series methods that avoid the perils of heterogeneity in cross-country studies. Their empirical analyses, undertaken with newly constructed time series data for the United States and some core countries of the Euro zone, show that models containing scale effects, such as the R&D model and the human capital model, are compatible with time series evidence only after considerable modifications and nonlinearities are introduced. They also explore the relationship between growth and inequality, with particular focus on technological change and income disparity. The Forces of Economic Growth represents a comprehensive and up-to-date empirical time series perspective on the New Growth Theory.

Download or read book Handbook of Economic Growth written by Philippe Aghion and published by Elsevier. This book was released on 2005-12-21 with total page 1139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring survey articles by leading economists working on growth theory, this two-volume set covers theories of economic growth, the empirics of economic growth, and growth policies and mechanisms. It also covers technology, trade and geography, and growth and socio-economic development.

Download or read book Set Valued Dynamical Systems and Economic Flow written by L. J. Jr. Cherene and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this monograph is to illuminate the central issues of dynamic analysis applied to economic models, using a generally accepted language of the study of dynamical systems at a level of sophistication likely to be understood by an economist versed in elementary topology. Whether an economic system is governed by a first order difference equation or several simultaneous multivalued partial differential equations, its solution is a flow that determines the state of the system given an initial condition and elapsed time. Thus the flow of a system is the central concept from which the theory here expounded develops. The explicit examples and applications herein are discrete time models, but the theoretical re sults hold for continuous time models as well. The supplementary bibliography in cludes several papers at the frontier of set-valued dynamics which may be viewed using the basic concepts defined in this text; all of these works involve demon strating that (almost) all possible trajectories that a system may follow converge to some set of equilibria. The application of set valued dynamical analysis to economic models is pro~ vided to engender in the reader an appreciation for the relevance of these con cepts to economic theory.

Download or read book Nonlinearities in Economics written by Giuseppe Orlando and published by Springer Nature. This book was released on 2021-08-31 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary book argues that the economy has an underlying non-linear structure and that business cycles are endogenous, which allows a greater explanatory power with respect to the traditional assumption that dynamics are stochastic and shocks are exogenous. The first part of this work is formal-methodological and provides the mathematical background needed for the remainder, while the second part presents the view that signal processing involves construction and deconstruction of information and that the efficacy of this process can be measured. The third part focuses on economics and provides the related background and literature on economic dynamics and the fourth part is devoted to new perspectives in understanding nonlinearities in economic dynamics: growth and cycles. By pursuing this approach, the book seeks to (1) determine whether, and if so where, common features exist, (2) discover some hidden features of economic dynamics, and (3) highlight specific indicators of structural changes in time series. Accordingly, it is a must read for everyone interested in a better understanding of economic dynamics, business cycles, econometrics and complex systems, as well as non-linear dynamics and chaos theory.