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.

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.

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.

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.

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.

Download or read book Growth Theory Nonlinear Dynamics and Economic Modelling written by William A. Brock and published by Edward Elgar Publishing. This book was released on 2001-01-01 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: '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.

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.

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.

Download or read book Nonlinear Dynamics in Economics Finance and the Social Sciences written by Gian Italo Bischi and published by Springer Science & Business Media. This book was released on 2009-12-15 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last two decades there has been a great deal of research into nonlinear dynamic models in economics, finance and the social sciences. This book contains twenty papers that range over very recent applications in these areas. Topics covered include structural change and economic growth, disequilibrium dynamics and economic policy as well as models with boundedly rational agents. The book illustrates some of the most recent research tools in this area and will be of interest to economists working in economic dynamics and to mathematicians interested in seeing ideas from nonlinear dynamics and complexity theory applied to the economic sciences.

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.

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.

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.

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.

Download or read book Nonlinear Dynamics and Heterogeneous Interacting Agents written by Thomas Lux and published by Springer Science & Business Media. This book was released on 2006-06-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic application of nonlinear dynamics, microscopic agent-based modelling, and the use of artificial intelligence techniques as learning devices of boundedly rational actors are among the most exciting interdisciplinary ventures of economic theory over the past decade. This volume provides us with a most fascinating series of examples on "complexity in action" exemplifying the scope and explanatory power of these innovative approaches.

Download or read book Chaotic Dynamics written by Alfredo Medio and published by Cambridge University Press. This book was released on 1992 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modelling of economic models by means of dynamic systems.

Download or read book Nonlinear Dynamics written by Todd Evans and published by BoD – Books on Demand. This book was released on 2010-01-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Sunspots and Non Linear Dynamics written by Kazuo Nishimura and published by Springer. This book was released on 2016-12-03 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in non-linear dynamics and sunspots. These two topics have been the core of an international conference on instability and public policies in a globalized world, organized at Aix-Marseille School of Economics and GREQAM in honor of Jean-Michel Grandmont. He has made significant contributions on general equilibrium theory, monetary theory, learning, aggregation, non-linear dynamics and sunspots. This book assembles contributions by Jean-Michel Grandmont's colleagues, students and friends that have been influenced by his works and that are at the frontier of research in this domain today.