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Author: Gilbert Abraham-Frois
Publisher: Springer Science & Business Media
ISBN: 3642589014
Category : Business & Economics
Languages : en
Pages : 204
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Book Description
Considerable work has been done on chaotic dynamics in the field of economic growth and dynamic macroeconomic models during the last two decades. This book considers numerous new developments: introduction of infrastructure in growth models, heterogeneity of agents, hysteresis systems, overlapping models with "pay-as-you-go" systems, keynesian approaches with finance considerations, interactions between relaxation cycles and chaotic dynamics, methodological issues, long memory processes and fractals... A volume of contributions which shows the relevance and fruitfulness of non-linear analysis for the explanation of complex dynamics in economic systems.
Author: Gilbert Abraham-Frois
Publisher: Springer Science & Business Media
ISBN: 3642589014
Category : Business & Economics
Languages : en
Pages : 204
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Book Description
Considerable work has been done on chaotic dynamics in the field of economic growth and dynamic macroeconomic models during the last two decades. This book considers numerous new developments: introduction of infrastructure in growth models, heterogeneity of agents, hysteresis systems, overlapping models with "pay-as-you-go" systems, keynesian approaches with finance considerations, interactions between relaxation cycles and chaotic dynamics, methodological issues, long memory processes and fractals... A volume of contributions which shows the relevance and fruitfulness of non-linear analysis for the explanation of complex dynamics in economic systems.
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: 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.
Author: Robin de Vilder
Publisher: Thesis Pub
ISBN: 9789051703405
Category : Business & Economics
Languages : en
Pages : 176
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Book Description
This book develops the use of the theory of nonlinear dynamics in the field of mathematical economics. It is applied to the analysis of a discrete nonlinear two-dimensional dynamic macroeconomic model. This particular model displays all the principal phenomena found in the two-dimensional dynamical systems literature. Using recent findings from the theory of higher-dimensional nonlinear dynamical systems, earlier results obtained with other dynamic economic models are generalized. In addition, a general framework is provided that can be used to solve some problems that are frequently encountered in the analysis of nonlinear dynamic (economic) models. Almost all of the results in this book have been rigorously proved. In order to follow the intuitive ideas behind these proofs as well as clarifying the discussion of the theoretical results, 55 figures are provided.
Author: Marc Jarsulic
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 624
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Book Description
Aims to demonstrate the contribution that non-linear techniques have made to the economic theory of business cycles. The work ranges from 1937 to 1989 and encompasses Keynesian and classical models, neo-classical-Keynesian models, endogenous fluctuations and recent developments.
Author: Giuseppe Orlando
Publisher:
ISBN: 9783030709839
Category :
Languages : en
Pages : 0
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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. " This highly-valuable book is a great entry-point for understanding the economy as a self-organizing non-linear dynamical system. This book not only introduces the reader to advanced techniques but also applies them to modern economic growth and business cycle models." Markus Brunnermeier, Edwards S. Sanford Professor of Economics, Director of the Bendheim Center for Finance, Princeton University, USA.
Author: Carl Chiarella
Publisher: Springer Science & Business Media
ISBN: 3642467075
Category : Business & Economics
Languages : en
Pages : 162
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Book Description
Elements of a Nonlinear Theory of Economic Dynamics provides both a framework and a survey of its needs. First, principle results and techniques of the theory relevant to applications in dynamic economics are discussed, then their application in view of older endogenous cycle theories are considered in a unified mathematical framework. Models incorporating the government budget constraint and the Goodwin model are analysed using the method of averaging and the centre manifold theory. The dynamic instability problem is solved by placing models in a nonlinear framework.
Author: Richard Hollis Day
Publisher: Oxford University Press, USA
ISBN:
Category : Business & Economics
Languages : en
Pages : 360
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Book Description
Advances in physics, computers, and mathematics have made it possible to illustrate an astonishing array of potential behavior that can occur when nonlinear interactions are present. As Prigogine explains from a physicist's perspective, the fundamental role of instability and bounded rationality provide more precise understanding for evolution and changes. This volume considers these developments from various fields in the context of economic science. The work starts with a general non-mathematical discussion, introducing the major themes--nonlinearity, dynamical systems, and evolution in economic processes. The work continues with nonlinear analysis of macroeconomic growth and fluctuations. It describes analyses of economic adaptation, learning, and self-organization. The volume also scrutinizes a specific market--equities using nonlinear analysis, controlled experiments, and statistical inference when nonlinearity plays an essential role in data generation. The volume closes with an historical reflection by Richard Goodwin and a roundtable discussion on basic issues and new challenges in nonlinear economic dynamics.
Author: Franco Gori
Publisher: Springer Science & Business Media
ISBN: 3642580319
Category : Business & Economics
Languages : en
Pages : 371
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Book Description
This volume constitutes the Proceedings of the "Nonlinear Dynamics in Economics and Social Sciences" Meeting held at the Certosa di Pontignano, Siena, on May 27-30, 1991. The Meeting was organized by the National Group "Modelli Nonlineari in Economia e Dinamiche Complesse" of the Italian Ministery of University and SCientific Research, M.U.RS.T. The aim of the Conference, which followed a previous analogous initiative taking place in the very same Certosa, on January 1988*, was the one of offering a come together opportunity to economists interested in a new mathematical approach to the modelling of economical processes, through the use of more advanced analytical techniques, and mathematicians acting in the field of global dynamical systems theory and applications. A basiC underlying idea drove the organizers: the necessity of fOCUSing on the use that recent methods and results, as those commonly referred to the overpopularized label of "Chaotic Dynamics", did find in the social sciences domain; and thus to check their actual relevance in the research program of modelling economic phenomena, in order to individuate and stress promising perspectives, as well as to curb excessive hopes and criticize not infrequent cases where research reduces to mechanical, ad hoc, applications of "a la mode" techniques. In a word we felt the need of looking about the state of the arts in non-linear systems theory applications to economics and social processes: hence the title of the workshop and the volume.
Author: Jess Benhabib
Publisher: Princeton University Press
ISBN: 0691225214
Category : Business & Economics
Languages : en
Pages : 490
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Book Description
In recent years economists have begun to use the techniques of non-linear dynamics to show that some apparently erratic and turbulent economic phenomena reflect subtle underlying patterns. How do cyclic and chaotic dynamics arise in economic models of equilibrium? How can empirical methods be used to detect nonlinearities and cyclic and chaotic structures in economic models? In examining these questions, this book brings together the most significant work that has been done to date in economics-based chaos theory. Selected here particularly for the economist who is not a specialist in chaos theory, the essays, some previously unpublished and others not widely available, describe a new tool for understanding business cycles, stabilization policy, and forecasting. The contributors to the volume are William J. Baumol, Jess Benhabib, Michele Boldrin, William A. Brock, Richard H. Day, Raymond J. Deneckere, Allan Drazen, Jean-Michel Grandmont, Kenneth L. Judd, Bruno Jullien, Guy Laroque, Blake LeBaron, Bruce McNevin, Luigi Montrucchio, Salih Nefti, Kazuo Nishimura, James B. Ramsey, Pietro Reichlin, Philip Rothman, Chera L. Sayers, Jos A. Scheinkman, Wayne Shafer, William Whitesell, Edward N. Wolff, and Michael Woodford.
