Nonlinear Dynamical Economics And Chaotic Motion


Nonlinear Dynamical Economics And Chaotic Motion
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Nonlinear Dynamical Economics And Chaotic Motion


Nonlinear Dynamical Economics And Chaotic Motion
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Author : Hans-Walter Lorenz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Nonlinear Dynamical Economics And Chaotic Motion written by Hans-Walter Lorenz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Business & Economics categories.


The plan to publish the present book arose while I was preparing a joint work with Gunter Gabisch (Gabisch, G. /Lorenz, H. -W. : Business Cycle Theory. Berlin-Heidel berg-New York: Springer). It turned out that a lot of interesting material could only be sketched in a business cycle text, either because the relevance for business cycle theory was not evident or because the material required an interest in dynamical economics which laid beyond the scope of a survey text for advanced undergraduates. While much of the material enclosed in this book can be found in condensed and sometimes more or less identical form in that business cycle text, the present monograph attempts to present nonlinear dynamical economics in a broader context with economic examples from other fields than business cycle theory. It is a pleasure for me to acknowledge the critical comments, extremely detailed remarks, or suggestions by many friends and colleagues. The responses to earlier versions of the manuscript by W. A. Barnett, M. Boldrin, W. A. Brock, C. Chiarella, C. Dale, G. Feichtinger, P. Flaschel, D. K. Foley, R. M. Goodwin, D. Kelsey, M. Lines, A. Medio, L. Montrucchio, P. Read, C. Sayers, A. Schmutzler, H. Schnabl, G. Silverberg, H. -\'\!. Sinn, J. Sterman, and R. Tscherning not only encouraged me to publish the book in its present form but helped to remove numerous errors (not only typographic ones) and conceptnal misunderstandings and flaws. Particular thanks go to G.



Nonlinear Dynamics In Economics And Social Sciences


Nonlinear Dynamics In Economics And Social Sciences
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Author : Franco Gori
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Dynamics In Economics And Social Sciences written by Franco Gori and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


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.



Nonlinear Dynamics Chaos And Instability


Nonlinear Dynamics Chaos And Instability
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Author : William A. Brock
language : en
Publisher: MIT Press
Release Date : 1991

Nonlinear Dynamics Chaos And Instability written by William A. Brock and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Business & Economics categories.


Brock, Hsieh, and LeBaron show how the principles of chaos theory can be applied to such areas of economics and finance as the changing structure of stock returns and nonlinearity in foreign exchange.



Nonlinear Dynamics In Economics


Nonlinear Dynamics In Economics
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Author : Bärbel Finkenstädt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Dynamics In Economics written by Bärbel Finkenstädt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


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.



Nonlinear Dynamical Systems In Economics


Nonlinear Dynamical Systems In Economics
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Author : Marji Lines
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-23

Nonlinear Dynamical Systems In Economics written by Marji Lines and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-23 with Business & Economics categories.


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.



The Elements Of A Nonlinear Theory Of Economic Dynamics


The Elements Of A Nonlinear Theory Of Economic Dynamics
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Author : Carl Chiarella
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Elements Of A Nonlinear Theory Of Economic Dynamics written by Carl Chiarella and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


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.



Chaos Nonlinear Dynamics In The Financial Markets


Chaos Nonlinear Dynamics In The Financial Markets
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Author : Robert R. Trippi
language : en
Publisher: Robert Trippi
Release Date : 1995

Chaos Nonlinear Dynamics In The Financial Markets written by Robert R. Trippi and has been published by Robert Trippi this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Business & Economics categories.


Computer disk illustrates behavior of several of the chaotic processes discussed in text. Assists the user in viewing the change in a system from unstable to stable states.



Nonlinear Dynamics


Nonlinear Dynamics
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Author : Todd Evans
language : en
Publisher: BoD – Books on Demand
Release Date : 2010-01-01

Nonlinear Dynamics written by Todd Evans and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Computers categories.


This volume covers a diverse collection of topics dealing with some of the fundamental concepts and applications embodied in the study of nonlinear dynamics. Each of the 15 chapters contained in this compendium generally fit into one of five topical areas: physics applications, nonlinear oscillators, electrical and mechanical systems, biological and behavioral applications or random processes. The authors of these chapters have contributed a stimulating cross section of new results, which provide a fertile spectrum of ideas that will inspire both seasoned researches and students.



Nonlinear Dynamics And Economics


Nonlinear Dynamics And Economics
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Author : William A. Barnett
language : en
Publisher: Cambridge University Press
Release Date : 1996-10-28

Nonlinear Dynamics And Economics written by William A. Barnett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-28 with Business & Economics categories.


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



Nonlinear Dynamics In Equilibrium Models


Nonlinear Dynamics In Equilibrium Models
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Author : John Stachurski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-25

Nonlinear Dynamics In Equilibrium Models written by John Stachurski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Business & Economics categories.


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.