Non-Linear Dynamics and Endogenous Cycles

Non-Linear Dynamics and Endogenous Cycles

Author: Gilbert Abraham-Frois

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 204

ISBN-13: 3642589014

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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.


Book Synopsis Non-Linear Dynamics and Endogenous Cycles by : Gilbert Abraham-Frois

Download or read book Non-Linear Dynamics and Endogenous Cycles written by Gilbert Abraham-Frois and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Nonlinearities in Economics

Nonlinearities in Economics

Author: Giuseppe Orlando

Publisher: Springer Nature

Published: 2021-08-31

Total Pages: 361

ISBN-13: 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.


Book Synopsis Nonlinearities in Economics by : Giuseppe Orlando

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.


Nonlinear Dynamics in Equilibrium Models

Nonlinear Dynamics in Equilibrium Models

Author: John Stachurski

Publisher: Springer Science & Business Media

Published: 2012-01-25

Total Pages: 454

ISBN-13: 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.


Book Synopsis Nonlinear Dynamics in Equilibrium Models by : John Stachurski

Download or read book Nonlinear Dynamics in Equilibrium Models written by John Stachurski and published by Springer Science & Business Media. This book was released on 2012-01-25 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Endogenous Business Cycles

Endogenous Business Cycles

Author: Robin de Vilder

Publisher: Thesis Pub

Published: 1995

Total Pages: 176

ISBN-13: 9789051703405

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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.


Book Synopsis Endogenous Business Cycles by : Robin de Vilder

Download or read book Endogenous Business Cycles written by Robin de Vilder and published by Thesis Pub. This book was released on 1995 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Non-linear Dynamics in Economic Theory

Non-linear Dynamics in Economic Theory

Author: Marc Jarsulic

Publisher:

Published: 1993

Total Pages: 624

ISBN-13:

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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.


Book Synopsis Non-linear Dynamics in Economic Theory by : Marc Jarsulic

Download or read book Non-linear Dynamics in Economic Theory written by Marc Jarsulic and published by . This book was released on 1993 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Nonlinearities in Economics

Nonlinearities in Economics

Author: Giuseppe Orlando

Publisher:

Published: 2021

Total Pages: 0

ISBN-13: 9783030709839

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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. " 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.


Book Synopsis Nonlinearities in Economics by : Giuseppe Orlando

Download or read book Nonlinearities in Economics written by Giuseppe Orlando and published by . This book was released on 2021 with total page 0 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. " 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.


Nonlinear Labor Market Dynamics

Nonlinear Labor Market Dynamics

Author: Michael Neugart

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 181

ISBN-13: 3642583482

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Nonlinear Labor Market Dynamics discusses adjustment processes in labor markets. Contrary to linear-stochastic approaches this book is based on a non-linear deterministic framework. It is shown that even textbook-like-models of the labor market can generate long lasting adjustment processes, local instabilities, and chaotic movements, once nonlinear relationships and widely accepted adjustment rules are introduced. Thus, labor market dynamics may have an endogenous component that is governed by a nonlinear deterministic core. Of course, all results are tied to the particular models discussed in this book. Nevertheless, these models imply that by incorporating nonlinear relationships, one may arrive at an explanation of labor market behavior where linear stochastic approaches fell. Time series studies for German labor market data support this point of view.


Book Synopsis Nonlinear Labor Market Dynamics by : Michael Neugart

Download or read book Nonlinear Labor Market Dynamics written by Michael Neugart and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Labor Market Dynamics discusses adjustment processes in labor markets. Contrary to linear-stochastic approaches this book is based on a non-linear deterministic framework. It is shown that even textbook-like-models of the labor market can generate long lasting adjustment processes, local instabilities, and chaotic movements, once nonlinear relationships and widely accepted adjustment rules are introduced. Thus, labor market dynamics may have an endogenous component that is governed by a nonlinear deterministic core. Of course, all results are tied to the particular models discussed in this book. Nevertheless, these models imply that by incorporating nonlinear relationships, one may arrive at an explanation of labor market behavior where linear stochastic approaches fell. Time series studies for German labor market data support this point of view.


Nonlinear Dynamics and Economics

Nonlinear Dynamics and Economics

Author: William A. Barnett

Publisher: Cambridge University Press

Published: 1996-10-28

Total Pages: 426

ISBN-13: 9780521471411

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This 1997 book presents developments in nonlinear economic dynamics along with related research from other fields, including mathematics, statistics, biology, and physics.


Book Synopsis Nonlinear Dynamics and Economics by : William A. Barnett

Download or read book Nonlinear Dynamics and Economics written by William A. Barnett and published by Cambridge University Press. This book was released on 1996-10-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1997 book presents developments in nonlinear economic dynamics along with related research from other fields, including mathematics, statistics, biology, and physics.


The Elements of a Nonlinear Theory of Economic Dynamics

The Elements of a Nonlinear Theory of Economic Dynamics

Author: Carl Chiarella

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 162

ISBN-13: 3642467075

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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.


Book Synopsis The Elements of a Nonlinear Theory of Economic Dynamics by : Carl Chiarella

Download or read book The Elements of a Nonlinear Theory of Economic Dynamics written by Carl Chiarella and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Growth Theory and Growth Policy

Growth Theory and Growth Policy

Author: Harald Hagemann

Publisher: Routledge

Published: 2003-03-06

Total Pages: 286

ISBN-13: 113451090X

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This collection examines the phenomenon of economic growth with admirable economic vigour and includes contributions from leading academic figures. Theoretical approaches, underpinned by original empirical work, will make this a book welcomed by students and academics of macroeconomics and growth theory.


Book Synopsis Growth Theory and Growth Policy by : Harald Hagemann

Download or read book Growth Theory and Growth Policy written by Harald Hagemann and published by Routledge. This book was released on 2003-03-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection examines the phenomenon of economic growth with admirable economic vigour and includes contributions from leading academic figures. Theoretical approaches, underpinned by original empirical work, will make this a book welcomed by students and academics of macroeconomics and growth theory.