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Growth Theory, Nonlinear Dynamics, and Economic Modelling

Growth Theory, Nonlinear Dynamics, and Economic Modelling
Author: William A. Brock
Publisher: Edward Elgar Publishing
Total Pages: 488
Release: 2001-01-01
Genre: Business & Economics
ISBN: 9781782543046

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'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.


Nonlinear Dynamics in Equilibrium Models

Nonlinear Dynamics in Equilibrium Models
Author: John Stachurski
Publisher: Springer Science & Business Media
Total Pages: 454
Release: 2012-01-25
Genre: Business & Economics
ISBN: 3642223974

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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.


Nonlinearities in Economics

Nonlinearities in Economics
Author: Giuseppe Orlando
Publisher: Springer Nature
Total Pages: 361
Release: 2021-08-31
Genre: Business & Economics
ISBN: 3030709825

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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.


Economic Growth

Economic Growth
Author: Alfonso Novales
Publisher: Springer Nature
Total Pages: 664
Release: 2021-12-03
Genre: Business & Economics
ISBN: 3662639823

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This is the third corrected and extended edition of a book on deterministic and stochastic Growth Theory and the computational methods needed to produce numerical solutions. Exogenous and endogenous growth, non-monetary and monetary models are thoroughly reviewed. Special attention is paid to the use of these models for fiscal and monetary policy analysis. Models under modern theories of the Business Cycle, New Keynesian Macroeconomics, and Dynamic Stochastic General Equilibrium models, can be all considered as special cases of economic growth models, and they can be analyzed by the theoretical and numerical procedures provided in the textbook. Analytical discussions are presented in full detail. The book is self-contained and it is designed so that the student advances in the theoretical and the computational issues in parallel. Spreadsheets are used to solve simple examples. Matlab files are provided on an accompanying website to illustrate theoretical results from all chapters as well as to simulate the effects of economic policy interventions. The logical structure of these program files is described in "Numerical exercise"-type of sections, where the output of these programs is also interpreted. The third edition corrects a few typographical errors, includes two new and original chapters on frequentist and Bayesian estimation, and improves some notation.


Nonlinear Dynamics in Economics

Nonlinear Dynamics in Economics
Author: Bärbel Finkenstädt
Publisher: Springer Science & Business Media
Total Pages: 167
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642468217

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1. 1 Introduction In economics, one often observes time series that exhibit different patterns of qualitative behavior, both regular and irregular, symmetric and asymmetric. There exist two different perspectives to explain this kind of behavior within the framework of a dynamical model. The traditional belief is that the time evolution of the series can be explained by a linear dynamic model that is exogenously disturbed by a stochastic process. In that case, the observed irregular behavior is explained by the influence of external random shocks which do not necessarily have an economic reason. A more recent theory has evolved in economics that attributes the patterns of change in economic time series to an underlying nonlinear structure, which means that fluctua tions can as well be caused endogenously by the influence of market forces, preference relations, or technological progress. One of the main reasons why nonlinear dynamic models are so interesting to economists is that they are able to produce a great variety of possible dynamic outcomes - from regular predictable behavior to the most complex irregular behavior - rich enough to meet the economists' objectives of modeling. The traditional linear models can only capture a limited number of possi ble dynamic phenomena, which are basically convergence to an equilibrium point, steady oscillations, and unbounded divergence. In any case, for a lin ear system one can write down exactly the solutions to a set of differential or difference equations and classify them.


Economic Dynamics

Economic Dynamics
Author: Wei-Bin Zhang
Publisher: Springer Science & Business Media
Total Pages: 244
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642864805

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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.


Economic Growth and Macroeconomic Dynamics

Economic Growth and Macroeconomic Dynamics
Author: Steve Dowrick
Publisher:
Total Pages: 201
Release: 2006-06-11
Genre: Business & Economics
ISBN: 0511192584

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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.


Intertemporal and Strategic Modelling in Economics

Intertemporal and Strategic Modelling in Economics
Author: Orlando Gomes
Publisher: Springer Nature
Total Pages: 258
Release: 2022-08-17
Genre: Business & Economics
ISBN: 3031096002

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This textbook introduces readers to essential tools, techniques and methods for intertemporal and strategic modeling in economics. It presents a variety of analytical models covering both dynamic processes and strategic interaction. Students will learn the basic mechanisms associated with the intertemporal approach, on the one hand, and game theory, i.e., the strategic approach, on the other. In addition, a wide range of applications are explored, including growth models, labor markets, international trade, and individual decision-making. Intended for upper undergraduate and graduate students in economics and related fields with a background in mathematics and calculus, this textbook provides a comprehensive introduction to economic modeling and its applications. By avoiding excessive formalism and exploring straightforward examples and applications, it is optimally suited for graduate courses in economics and finance.


Nonlinear Dynamical Systems in Economics

Nonlinear Dynamical Systems in Economics
Author: Marji Lines
Publisher: Springer Science & Business Media
Total Pages: 238
Release: 2007-03-23
Genre: Business & Economics
ISBN: 3211380434

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Many problems in theoretical economics are mathematically formalized as dynam ical systems of difference and differential equations. In recent years a truly open approach to studying the dynamical behavior of these models has begun to make its way into the mainstream. That is, economists formulate their hypotheses and study the dynamics of the resulting models rather than formulating the dynamics and studying hypotheses that could lead to models with such dynamics. This is a great progress over using linear models, or using nonlinear models with a linear approach, or even squeezing economic models into well-studied nonlinear systems from other fields. There are today a number of economic journals open to publishing this type of work and some of these have become important. There are several societies which have annual meetings on the subject and participation at these has been growing at a good rate. And of course there are methods and techniques avail able to a more general audience, as well as a greater availability of software for numerical and graphical analysis that makes this type of research even more excit ing. The lecturers for the Advanced School on Nonlinear Dynamical Systems in Economics, who represent a wide selection of the research areas to which the the ory has been applied, agree on the importance of simulations and computer-based analysis. The School emphasized computer applications of models and methods, and all contributors ran computer lab sessions.


Chaos, Complexity, And Nonlinear Economic Theory

Chaos, Complexity, And Nonlinear Economic Theory
Author: Wei-bin Zhang
Publisher: World Scientific
Total Pages: 228
Release: 2023-05-17
Genre: Mathematics
ISBN: 981126743X

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What do economic chaos and uncertainties mean in rational or irrational economic theories? How do simple deterministic interactions among a few variables lead to unpredictable complex phenomena? Why is complexity of economies causing so many conflicts and confusions worldwide?This book provides a comprehensive introduction to recent developments of complexity theory in economics. It presents different models based on well-accepted economic mechanisms such as the Solow model, Ramsey model, and Lucas model. It is focused on presenting complex behaviors, such as business cycles, aperiodic motion, bifurcations, catastrophes, chaos, and hidden attractors, in basic economic models with nonlinear behavior. It shows how complex nonlinear phenomena are identified from various economic mechanisms and theories. These models demonstrate that the traditional or dominant economic views on evolution of, for instance, capitalism market, free competition, or Keynesian economics, are not generally valid. Markets are unpredictable and nobody knows with certainty the consequences of policies or other external factors in economic systems with simple interactions.