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.
Numerical Methods In Economics
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Author : Kenneth L. Judd
language : en
Publisher: MIT Press
Release Date : 1998-09-28
Numerical Methods In Economics written by Kenneth L. Judd and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-28 with Business & Economics categories.
To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses. The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on R^n, including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A website contains supplementary material including programs and answers to exercises.
Foundations Of Dynamic Economic Analysis
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Author : Michael R. Caputo
language : en
Publisher: Cambridge University Press
Release Date : 2005-01-17
Foundations Of Dynamic Economic Analysis written by Michael R. Caputo 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 2005-01-17 with Business & Economics categories.
Foundations of Dynamic Economic Analysis presents a modern and thorough exposition of the fundamental mathematical formalism used to study optimal control theory, i.e., continuous time dynamic economic processes, and to interpret dynamic economic behavior. The style of presentation, with its continual emphasis on the economic interpretation of mathematics and models, distinguishes it from several other excellent texts on the subject. This approach is aided dramatically by introducing the dynamic envelope theorem and the method of comparative dynamics early in the exposition. Accordingly, motivated and economically revealing proofs of the transversality conditions come about by use of the dynamic envelope theorem. Furthermore, such sequencing of the material naturally leads to the development of the primal-dual method of comparative dynamics and dynamic duality theory, two modern approaches used to tease out the empirical content of optimal control models. The stylistic approach ultimately draws attention to the empirical richness of optimal control theory, a feature missing in virtually all other textbooks of this type.
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.
Economic Dynamics
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Author : Giancarlo Gandolfo
language : en
Publisher: Springer
Release Date : 2010-04-29
Economic Dynamics written by Giancarlo Gandolfo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-29 with Business & Economics categories.
This fourth edition on economic dynamics is the premier source on dynamic mathematical tools for economists, with illustrations from many areas of current economic research. It presents the most advanced areas of nonlinear dynamics in a readable manner.
Dynamic Economics
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Author : Jerome Adda
language : en
Publisher: MIT Press
Release Date : 2003-08-29
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 2003-08-29 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.
Foundations Of Dynamic Economic Analysis
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Author : Michael R. Caputo
language : en
Publisher: Cambridge University Press
Release Date : 2005-01-10
Foundations Of Dynamic Economic Analysis written by Michael R. Caputo 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 2005-01-10 with Business & Economics categories.
Foundations of Dynamic Economic Analysis presents a modern and thorough exposition of the fundamental mathematical formalism used to study optimal control theory, i.e., continuous time dynamic economic processes, and to interpret dynamic economic behavior. The style of presentation, with its continual emphasis on the economic interpretation of mathematics and models, distinguishes it from several other excellent texts on the subject. This approach is aided dramatically by introducing the dynamic envelope theorem and the method of comparative dynamics early in the exposition. Accordingly, motivated and economically revealing proofs of the transversality conditions come about by use of the dynamic envelope theorem. Furthermore, such sequencing of the material naturally leads to the development of the primal-dual method of comparative dynamics and dynamic duality theory, two modern approaches used to tease out the empirical content of optimal control models. The stylistic approach ultimately draws attention to the empirical richness of optimal control theory, a feature missing in virtually all other textbooks of this type.
Economic Dynamics Methods And Models
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Author : G Gandolfo
language : en
Publisher: North Holland
Release Date : 1983-09-01
Economic Dynamics Methods And Models written by G 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 1983-09-01 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.
Dynamic Economic Analysis
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Author : Gerhard Sorger
language : en
Publisher: Cambridge University Press
Release Date : 2015-02-12
Dynamic Economic Analysis written by Gerhard Sorger 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 2015-02-12 with Business & Economics categories.
Concise yet rigorous, this textbook provides a clear and systematic introduction to the theory and application of dynamic economic models.
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.