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Author: Bjarne S. Jensen
Publisher: Springer Science & Business Media
ISBN: 9401110360
Category : Mathematics
Languages : en
Pages : 358
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Book Description
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.
Author: Bjarne S. Jensen
Publisher: Springer Science & Business Media
ISBN: 9401110360
Category : Mathematics
Languages : en
Pages : 358
Get Book Here
Book Description
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.
Author: Bjarne S. Jensen
Publisher: Palgrave Macmillan
ISBN: 9783031524929
Category : Business & Economics
Languages : en
Pages : 0
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Book Description
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.
Author: Jesús Crespo Cuaresma
Publisher: Springer Science & Business Media
ISBN: 3642021328
Category : Business & Economics
Languages : en
Pages : 295
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Book Description
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.
Author: Matthias Ruth
Publisher: Springer Science & Business Media
ISBN: 1461422086
Category : Business & Economics
Languages : en
Pages : 324
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Book Description
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.
Author: Wei-Bin Zhang
Publisher: Springer Science & Business Media
ISBN: 3642864805
Category : Business & Economics
Languages : en
Pages : 244
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Book Description
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.
Author: Steve Dowrick
Publisher:
ISBN: 0511192584
Category : Business & Economics
Languages : en
Pages : 201
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Book Description
The development of the endogenous growth model rekindled interest in growth theory. In contrast to the neo-classical model, long-run endogenous growth emerged as an equilibrium outcome, reflecting the behaviour of optimizing agents in the economy. This book brings together a number of contributions in growth theory and macroeconomic dynamics, reflecting these developments and the ongoing debate over the relative merits of neo-classical and endogenous growth models. It focuses on the emergence of three important aspects: First, it develops growth models that extend the underlying theory in different directions. Second, it addresses one of the concerns of the literature on growth and dynamics: the statistical properties of underlying data and the effort to ensure that growth models are consistent with empirical evidence. Third, it discusses the increasingly international focus of macrodynamics and growth theory, an inevitable consequence of the integration of the world economy.
Author: Arvid Aulin
Publisher: Springer Science & Business Media
ISBN: 3642775926
Category : Business & Economics
Languages : en
Pages : 380
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Book Description
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.
Author: Wei-Bin Zhang
Publisher: Routledge
ISBN: 1351159429
Category : Business & Economics
Languages : en
Pages : 394
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Book Description
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.
Author: David Cass
Publisher: Academic Press
ISBN: 1483266850
Category : Business & Economics
Languages : en
Pages : 212
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Book Description
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.
Author: Giuseppe Orlando
Publisher: Springer Nature
ISBN: 3030709825
Category : Business & Economics
Languages : en
Pages : 361
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Book Description
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.
