Nonlinear Economic Dynamics

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Nonlinear Dynamics and Evolutionary Economics

Author : Richard Hollis Day
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Nonlinear Dynamics and Evolutionary Economics by : Richard Hollis Day

Download or read book Nonlinear Dynamics and Evolutionary Economics written by Richard Hollis Day and published by Oxford University Press, USA. This book was released on 1993 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Economic Dynamics

Author : Tönu Puu
Publisher : Springer
ISBN 13 : 3662007541
Total Pages : 131 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Nonlinear Economic Dynamics by : Tönu Puu

Download or read book Nonlinear Economic Dynamics written by Tönu Puu and published by Springer. This book was released on 2013-03-14 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present study is a preliminary draft on nonlinear economic dynamics, with which the author has been concerned the last years. It grew out from the joint work by Professor Martin Beckmann and the present author on nonlinear statics in spatial economics, Beckmann and Puu, "Spatial Economics" (North-Holland 1985). The monograph mentioned contains sections on price waves and business cycles, but in a linear format. The rest is static theory. The author has finally come to the conviction that linear dynamic modelling has very little to yield. This is due to the poor set of alternatives -decay or explosion of motion -pertinent to linear models. Therefore, the pr~sent work centres on non-linearity. Another distinction is that only purely causal models are dealt with, as those formatted as inter-temporal equilibria hardly belong to the more restricted field of dynamics. The spatial origin is visible in the choice of models. Chapter 2 summarizes the work by the author on the stmctural stability of continuous spatial market equilibrium models. Chapter 3 deals with a re-formulation of the ingenious population growth and diffusion model invented by the young Hotelling in 1921. Chapter 4 is a detailed digression on business cycle models in a continuous spatial format with interregional trade.

Nonlinear Dynamics and Economics

Author : William A. Barnett
Publisher : Cambridge University Press
ISBN 13 : 9780521471411
Total Pages : 426 pages
Book Rating : 4.4/5 (714 download)

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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.

Nonlinear Economic Dynamics

Author : Tönu Puu
Publisher : Springer
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Economic Dynamics by : Tönu Puu

Download or read book Nonlinear Economic Dynamics written by Tönu Puu and published by Springer. This book was released on 1997-06-19 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was first pUblished in 1989 as volume 336 in the Springer series "Lecture Notes in Economics and Mathematical Systems", and it reappeared in a 2nd edition as a Springer monograph in 1991. After considerable revisions it appeared in a 3rd edition in 1993. The origin, still visible in the 3rd edition, was the joint work of the author with Professor Martin J. Beckmann, documented in two co-authored mono graphs "Spatial Economics" (North-Holland 1985), and "Spatial Structures" (Springer-Verlag 1990). Essential dynamics had, however, been almost com pletely lacking in these works, and the urge to focus the dynamic issues was great. To fill this particular gap was the aim of the previous editions, and so the spatial aspect provided core and focus. In the present edition a substantial quantity of spatial issues have been removed: All those that were dynamic only in the sense that structures were characterized which were structurally stable, or robust in a changing world. The removed material has meanwhile been published as a separate mono graph under the title "Mathematical Location and Land Use Theory" (Springer-Verlag 1996).

Nonlinear Dynamics in Economics

Author : Bärbel Finkenstädt
Publisher : Springer Science & Business Media
ISBN 13 : 3642468217
Total Pages : 167 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Nonlinear Dynamics in Economics by : Bärbel Finkenstädt

Download or read book Nonlinear Dynamics in Economics written by Bärbel Finkenstädt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinearities in Economics

Author : Giuseppe Orlando
Publisher : Springer Nature
ISBN 13 : 3030709825
Total Pages : 361 pages
Book Rating : 4.0/5 (37 download)

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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 Dynamical Economics and Chaotic Motion

Author : Hans-Walter Lorenz
Publisher : Springer Science & Business Media
ISBN 13 : 3662222337
Total Pages : 258 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Nonlinear Dynamical Economics and Chaotic Motion by : Hans-Walter Lorenz

Download or read book Nonlinear Dynamical Economics and Chaotic Motion written by Hans-Walter Lorenz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Equilibrium Models

Author : John Stachurski
Publisher : Springer Science & Business Media
ISBN 13 : 3642223974
Total Pages : 454 pages
Book Rating : 4.6/5 (422 download)

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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.

Nonlinear Economic Dynamics

Author : Jean-Michel Grandmont
Publisher : Emerald Group Publishing
ISBN 13 : 9780122951404
Total Pages : 195 pages
Book Rating : 4.9/5 (514 download)

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Book Synopsis Nonlinear Economic Dynamics by : Jean-Michel Grandmont

Download or read book Nonlinear Economic Dynamics written by Jean-Michel Grandmont and published by Emerald Group Publishing. This book was released on 1986 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely work which represents a major reappraisal of business cycle theory. It revives, with the help of modern analytical techniques, an old theme of Keynesian macroeconomics, namely that "market psychology" (i.e., volatile expectations) may be a significant cause of economic fluctuations. It is of interest not only to economists, but also to mathematicians and physicists.

Nonlinear Dynamics, Chaos, and Instability

Author : William A. Brock
Publisher : MIT Press
ISBN 13 : 9780262023290
Total Pages : 362 pages
Book Rating : 4.0/5 (232 download)

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Book Synopsis Nonlinear Dynamics, Chaos, and Instability by : William A. Brock

Download or read book Nonlinear Dynamics, Chaos, and Instability written by William A. Brock and published by MIT Press. This book was released on 1991 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Economic Dynamics

Author : 3Island Press
Publisher :
ISBN 13 : 9783642607769
Total Pages : 304 pages
Book Rating : 4.6/5 (77 download)

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Book Synopsis Nonlinear Economic Dynamics by : 3Island Press

Download or read book Nonlinear Economic Dynamics written by 3Island Press and published by . This book was released on 1997-06-19 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex and Chaotic Nonlinear Dynamics

Author : Thierry Vialar
Publisher : Springer Science & Business Media
ISBN 13 : 3540859780
Total Pages : 752 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Complex and Chaotic Nonlinear Dynamics by : Thierry Vialar

Download or read book Complex and Chaotic Nonlinear Dynamics written by Thierry Vialar and published by Springer Science & Business Media. This book was released on 2009-04-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena. This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic disciplines. Beyond its focus on economics and finance, including for instance the evolution of macroeconomic growth models towards nonlinear structures as well as signal processing applications to stock markets, fundamental parts of the book are devoted to the use of nonlinear dynamics in mathematics, statistics, signal theory and processing. Numerous examples and applications, almost 700 illustrations and numerical simulations based on the use of Matlab make the book an essential reference for researchers and students from many different disciplines who are interested in the nonlinear field. An appendix recapitulates the basic mathematical concepts required to use the book.

Economic Dynamics, second edition

Author : John Stachurski
Publisher : MIT Press
ISBN 13 : 0262544776
Total Pages : 395 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Economic Dynamics, second edition by : John Stachurski

Download or read book Economic Dynamics, second edition written by John Stachurski and published by MIT Press. This book was released on 2022-08-16 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of a rigorous and example-driven introduction to topics in economic dynamics that emphasizes techniques for modeling dynamic systems. This text provides an introduction to the modern theory of economic dynamics, with emphasis on mathematical and computational techniques for modeling dynamic systems. Written to be both rigorous and engaging, the book shows how sound understanding of the underlying theory leads to effective algorithms for solving real-world problems. The material makes extensive use of programming examples to illustrate ideas, bringing to life the abstract concepts in the text. Key topics include algorithms and scientific computing, simulation, Markov models, and dynamic programming. Part I introduces fundamentals and part II covers more advanced material. This second edition has been thoroughly updated, drawing on recent research in the field. New for the second edition: “Programming-language agnostic” presentation using pseudocode. New chapter 1 covering conceptual issues concerning Markov chains such as ergodicity and stability. New focus in chapter 2 on algorithms and techniques for program design and high-performance computing. New focus on household problems rather than optimal growth in material on dynamic programming. Solutions to many exercises, code, and other resources available on a supplementary website.

Nonlinear Dynamical Systems in Economics

Author : Marji Lines
Publisher : Springer Science & Business Media
ISBN 13 : 3211380434
Total Pages : 238 pages
Book Rating : 4.2/5 (113 download)

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Book Synopsis Nonlinear Dynamical Systems in Economics by : Marji Lines

Download or read book Nonlinear Dynamical Systems in Economics written by Marji Lines and published by Springer Science & Business Media. This book was released on 2007-03-23 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Models for Economic Decision Processes

Author : Ionut Purica
Publisher : World Scientific
ISBN 13 : 1848164270
Total Pages : 177 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Nonlinear Models for Economic Decision Processes by : Ionut Purica

Download or read book Nonlinear Models for Economic Decision Processes written by Ionut Purica and published by World Scientific. This book was released on 2010 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using models, developed in one branch of science, to describe similar behaviors encountered in a different one, is the essence of a synergetic approach. A wide range of topics has been developed including Agent-based models, econophysics, socio-economic networks, information, bounded rationality and learning in economics, markets as complex adaptive systems evolutionary economics, multiscale analysis and modeling, nonlinear dynamics and econometrics, physics of risk, statistical and probabilistic methods in economics and finance. Complexity. This publication concentrates on process behavior of economic systems and building models that stem from Haken's, Prigogine's, Taylor's work as well as from nuclear physics models.

Nonlinear Economic Dynamics

Author : Tönu Puu
Publisher :
ISBN 13 : 9781617287107
Total Pages : 310 pages
Book Rating : 4.2/5 (871 download)

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Book Synopsis Nonlinear Economic Dynamics by : Tönu Puu

Download or read book Nonlinear Economic Dynamics written by Tönu Puu and published by . This book was released on 2011 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Elements of a Nonlinear Theory of Economic Dynamics

Author : Carl Chiarella
Publisher : Springer Science & Business Media
ISBN 13 : 3642467075
Total Pages : 162 pages
Book Rating : 4.6/5 (424 download)

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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.