Differential Equations Stability And Chaos In Dynamic Economics
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Differential Equations Stability And Chaos In Dynamic Economics
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Author : William A. Brock
language : en
Publisher: North Holland
Release Date : 1989
Differential Equations Stability And Chaos In Dynamic Economics written by William A. Brock and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Business & Economics categories.
This is the first economics work of its kind offering the economist the opportunity to acquire new and important analytical tools. It introduces the reader to three advanced mathematical methods by presenting both their theoretical bases and their applications to a wide range of economic models. The mathematical methods presented are ordinary differential equations, stability techniques and chaotic dynamics. Topics such as existence, continuation of solutions, uniqueness, dependence on initial data and parameters, linear systems, stability of linear systems, two dimensional phase analysis, local and global stability, the stability manifold, stability of optimal control and empirical tests for chaotic dynamics are covered and their use in economic theory is illustrated in numerous applications. These applications include microeconomic dynamics, investment theory, macroeconomic policies, capital theory, business cycles, financial economics and many others. All chapters conclude with two sections on miscellaneous applications and exercises and further remarks and references. In total the reader will find a valuable guide to over 500 selected references that use differential equations, stability analysis and chaotic dynamics. Graduate students in economics with a special interest in economic theory, economic researchers and applied mathematicians will all benefit from this volume.
Differential Equations Bifurcations And Chaos In Economics
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Author : Wei-bin Zhang
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-07-18
Differential Equations Bifurcations And Chaos In Economics written by Wei-bin Zhang and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-18 with Business & Economics categories.
Although the application of differential equations to economics is a vast and vibrant area, the subject has not been systematically studied; it is often treated as a subsidiary part of mathematical economics textbooks. This book aims to fill that void by providing a unique blend of the theory of differential equations and their exciting applications to dynamic economics. Containing not just a comprehensive introduction to the applications of the theory of linear (and linearized) differential equations to economic analysis, the book also studies nonlinear dynamical systems, which have only been widely applied to economic analysis in recent years. It provides comprehensive coverage of the most important concepts and theorems in the theory of differential equations in a way that can be understood by any reader who has a basic knowledge of calculus and linear algebra. In addition to traditional applications of the theory to economic dynamics, the book includes many recent developments in different fields of economics.
Economic Dynamics
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Author : Ronald Shone
language : en
Publisher: Cambridge University Press
Release Date : 2002-11-28
Economic Dynamics written by Ronald Shone 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 2002-11-28 with Business & Economics categories.
This is the substantially revised and restructured second edition of Ron Shone's successful advanced textbook Economic Dynamics. The book provides detailed coverage of dynamics and phase diagrams, including: quantitative and qualitative dynamic systems, continuous and discrete dynamics, linear and non-linear systems and single equation and systems of equations. It illustrates dynamic systems using Mathematica, Maple V and spreadsheets. It provides a thorough introduction to phase diagrams and their economic application and explains the nature of saddle path solutions. The second edition contains a new chapter on oligopoly and an extended treatment of stability of discrete dynamic systems and the solving of first-order difference equations. Detailed routines on the use of Mathematica and Maple are now contained in the body of the text, which now includes advice on the use of Excel and additional examples and exercises throughout. Supporting website contains solutions manual and learning tools.
Nonlinear Dynamical Economics And Chaotic Motion
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Author : Hans-Walter Lorenz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
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 2012-12-06 with Business & Economics categories.
Usually, the first edition of a book still contains a multiplicity of typographic, con ceptional, and computational errors even if one believes the opposite at the time of publication. As this book did not represent a counterexample to this rule, the current second edition offers a chance to remove at least the known shortcomings. The book has been partly re-organized. The previously rather long Chapter 4 has been split into two separate chapters dealing with discrete-time and continuous time approaches to nonlinear economic dynamics. The short summary of basic properties of linear dynamical systems has been banned to an appendix because the line of thought in the chapter seems to have been unnecessarily interrupted by these technical details and because the book concentrates on nonlinear systems. This appendix, which mainly deals with special formal properties of dynamical sys tems, also contains some new material on invariant subspaces and center-manifold reductions. A brief introduction into the theory of lags and operators is followed by a few remarks on the relation between the 'true' properties of dynamical systems and their behavior observable in numerical experiments. Additional changes in the main part of the book include a re-consideration of Popper's determinism vs. inde terminism discussion in the light of chaotic properties of deterministic, nonlinear systems in Chapter 1. An investigation of a simultaneous price-quantity adjustment process, a more detailed inquiry into the uniqueness property of limit cycles, and a short presentation of relaxation oscillations are included in Chapter 2.
Economic Dynamics
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Author : Giancarlo Gandolfo
language : en
Publisher: Springer Science & Business Media
Release Date : 1997
Economic Dynamics written by Giancarlo Gandolfo 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 1997 with Business & Economics categories.
Treating the mathematical methods used in the economic dynamics, this book shows how they are utilised to build and analyse dynamical models. Accordingly, the focus is on the methods, and every new mathematical technique introduced is followed by its application to select economic models. The mathematical methods coveredc range from elementary linear difference and differential equations and simultaneous systems to the qualitative analysis of non-linear dynamical systems. Stability considerations are stressed throughout, including many advanced topics. Bifurcation and chaos theory are also dealt with. The reader is guided through a step-by-step analysis of each topic, be it a mathematical method or an economic model. The Study Edition also provides the reader with solutions to the numerous exercises.
Dynamic Macroeconomics
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Author : Peter Flaschel
language : en
Publisher: MIT Press
Release Date : 1997
Dynamic Macroeconomics written by Peter Flaschel and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Business & Economics categories.
An attempt to revitalize the traditions of nonmarket clearing approaches to macroeconomics. Using tools from dynamic analysis, the text introduces a consistent, integrated framework for disequilibrium macroeconomic dynamics and explore its relationship to the competing equilibrium dynamics.
Positive Feedback Economies
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Author : E. Agliardi
language : en
Publisher: Springer
Release Date : 1998-02-09
Positive Feedback Economies written by E. Agliardi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-09 with Business & Economics categories.
The objective of this book is to study the economy as a complex system and to show that the presence of self-reinforcing mechanisms in very different economic problems gives rise to common regularities and common qualitative properties. Dynamic systems of the self-reinforcing type are considered, that is, systems with local positive feedbacks. Economic theory maintains that positive feedbacks can cause multiple equilibria and possible inefficiency. This book concentrates on the less familiar properties of lock-in, path-dependence and symmetry-breaking.
Nonlinear Dynamics In Human Behavior
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Author : William H. Sulis
language : en
Publisher: World Scientific
Release Date : 1996
Nonlinear Dynamics In Human Behavior written by William H. Sulis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Psychology categories.
This book represents a selection of papers presented at the Fourth Annual Conference of the Society for Chaos Theory in Psychology and the Life Sciences, held at Johns Hopkins University in Baltimore, June 24-27, 1995. The book reflects the Society as a whole, consisting of applications of nonlinear methodology in psychophysics, neurophysiology, business and social science as well as applications of the nonlinear paradigm to issues arising in psychotherapy and the study of creativity. Unique are contributions on the use of Boolean networks in the study of psychosis and quality of life. Review articles on the appropriate use of time series methods in psychology and psychophysics provide a valuable reference.
Applied Intertemporal Optimization
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Author : Klaus Wälde
language : en
Publisher: Klaus Wälde
Release Date : 2012
Applied Intertemporal Optimization written by Klaus Wälde and has been published by Klaus Wälde this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Biodiversity Loss
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Author : Charles Perrings
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-28
Biodiversity Loss written by Charles Perrings 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 1997-01-28 with Business & Economics categories.
This volume reports key findings of the Biodiversity Program of the Royal Swedish Academy of Sciences' Beijer Institute. The program brought together a number of eminent ecologists and economists to consider the nature and significance of the biodiversity problem. In encouraging collaborative work between these closely related disciplines it sought to shed new light on the concept of diversity; the implications of biological diversity for the functioning of ecosystems; the driving forces behind biodiversity loss; and the options for promoting biodiversity conservation. The results of the program are surprising. It is shown that the core of the biodiversity problem is a loss of ecosystem resilience and the insurance it provides against the uncertain environmental effects of economic and population growth. This is as much a local as a global problem, implying that biodiversity conservation offers benefits that are as much local as global. The solutions as well as the causes of biodiversity loss lie in incentives to local users.