Mathematical Methods In Dynamic Economics
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Mathematical Methods In Dynamic Economics
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Author : A. Simonovits
language : en
Publisher: Springer
Release Date : 2000-06-05
Mathematical Methods In Dynamic Economics written by A. Simonovits and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-05 with Business & Economics categories.
This book contains a concise description of important mathematical methods of dynamics and suitable economic models. It covers discrete as well as continuous-time systems, linear and nonlinear models. Mixing traditional and modern materials, the study covers dynamics with and without optimization, naive and rational expectations, respectively. In addition to standard models of growth and cycles, the book also contains original studies on control of a multisector economy and expectations-driven multicohort economy. Numerous examples, problems (with solutions) and figures complete the book.
Mathematical Methods And Models In Economic Dynamics
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Author : Giancarlo Gandolfo
language : en
Publisher: North-Holland
Release Date : 1972
Mathematical Methods And Models In Economic Dynamics written by Giancarlo Gandolfo and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Business & Economics categories.
Textbook on mathematics methodology and economic models commonly used in economic dynamics (economic analysis) - comprises two sections on the techniques of difference and differential equations. Bibliography pp. 489 to 498.
Economic Dynamics Methods And Models
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Author : G Gandolfo
language : en
Publisher: Elsevier
Release Date : 1971-01-01
Economic Dynamics Methods And Models written by G Gandolfo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with Technology & Engineering categories.
Economic Dynamics: Methods and Models aims to give a simple but comprehensive treatment of mathematical methods used in economic dynamics and show how they are utilized to build and to analyze dynamic models. The text also focuses on methods, and every mathematical technique introduced is followed by its application to selected models. The book is divided into three different parts. Part I: Different Equations discusses general principles; first-order, second-order, higher-order equations; simultaneous systems; and their economic applications. Part II: Differential Equations also discusses the same areas as those in Part I, but instead features differential equations, as what the section name suggests. Part III: More Advanced Material covers comparative statistics and the comparative principle; stability of equilibrium and Liapunov's second method; and linear mixed differential and difference equations, as well as its other related topics. The text is recommended for mathematicians and economists who have an idea on advanced mathematics and would like to know more about its applications in economics.
New Mathematical Advances In Economic Dynamics
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Author : David F. Batten
language : en
Publisher: Routledge
Release Date : 2018-02-28
New Mathematical Advances In Economic Dynamics written by David F. Batten and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-28 with Business & Economics categories.
Originally published in 1985. Mathematical methods and models to facilitate the understanding of the processes of economic dynamics and prediction were refined considerably over the period before this book was written. The field had grown; and many of the techniques involved became extremely complicated. Areas of particular interest include optimal control, non-linear models, game-theoretic approaches, demand analysis and time-series forecasting. This book presents a critical appraisal of developments and identifies potentially productive new directions for research. It synthesises work from mathematics, statistics and economics and includes a thorough analysis of the relationship between system understanding and predictability.
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.
Mathematical Methods And Models For Economists
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Author : Angel de la Fuente
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-28
Mathematical Methods And Models For Economists written by Angel de la Fuente 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 2000-01-28 with Business & Economics categories.
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Mathematical Methods And Models For Economists
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Author : Angel de la Fuente
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-28
Mathematical Methods And Models For Economists written by Angel de la Fuente 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 2000-01-28 with Business & Economics categories.
This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics. The topics covered include an introduction to analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems and dynamic optimization. The book includes a large number of applications to standard economic models and over two hundred fully worked-out problems.
Dynamic Economic Problems With Regime Switches
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Author : Josef L. Haunschmied
language : en
Publisher: Springer Nature
Release Date : 2020-11-07
Dynamic Economic Problems With Regime Switches written by Josef L. Haunschmied and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-07 with Business & Economics categories.
This book presents the state of the art in the relatively new field of dynamic economic modelling with regime switches. The contributions, written by prominent scholars in the field, focus on dynamic decision problems with regime changes in underlying dynamics or objectives. Such changes can be externally driven or internally induced by decisions. Utilising the most advanced mathematical methods in optimal control and dynamic game theory, the authors address a broad range of topics, including capital accumulation, innovations, financial decisions, population economics, environmental and resource economics, institutional change and the dynamics of addiction. Given its scope, the book will appeal to all scholars interested in mathematical and quantitative economics.
Dynamic Economics
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Author : Jerome Adda
language : en
Publisher: MIT Press
Release Date : 2023-05-09
Dynamic Economics written by Jerome Adda and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-09 with Business & Economics categories.
An integrated approach to the empirical application of dynamic optimization programming models, for students and researchers. This book is an effective, concise text for students and researchers that combines the tools of dynamic programming with numerical techniques and simulation-based econometric methods. Doing so, it bridges the traditional gap between theoretical and empirical research and offers an integrated framework for studying applied problems in macroeconomics and microeconomics. In part I the authors first review the formal theory of dynamic optimization; they then present the numerical tools and econometric techniques necessary to evaluate the theoretical models. In language accessible to a reader with a limited background in econometrics, they explain most of the methods used in applied dynamic research today, from the estimation of probability in a coin flip to a complicated nonlinear stochastic structural model. These econometric techniques provide the final link between the dynamic programming problem and data. Part II is devoted to the application of dynamic programming to specific areas of applied economics, including the study of business cycles, consumption, and investment behavior. In each instance the authors present the specific optimization problem as a dynamic programming problem, characterize the optimal policy functions, estimate the parameters, and use models for policy evaluation. The original contribution of Dynamic Economics: Quantitative Methods and Applications lies in the integrated approach to the empirical application of dynamic optimization programming models. This integration shows that empirical applications actually complement the underlying theory of optimization, while dynamic programming problems provide needed structure for estimation and policy evaluation.
Recursive Methods In Economic Dynamics
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Author : Nancy L. Stokey
language : en
Publisher: Harvard University Press
Release Date : 1989-10-10
Recursive Methods In Economic Dynamics written by Nancy L. Stokey and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-10-10 with Business & Economics categories.
This rigorous but brilliantly lucid book presents a self-contained treatment of modern economic dynamics. Stokey, Lucas, and Prescott develop the basic methods of recursive analysis and illustrate the many areas where they can usefully be applied.