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Author : Herman J. Nieuwenhuis
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (66 download)
Download or read book Dynamics of Continuous Time and Related Discrete Time Economic Models written by Herman J. Nieuwenhuis and published by . This book was released on 1992 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerhard Sorger
Publisher : Cambridge University Press
ISBN 13 : 1316240843
Total Pages : 453 pages
Book Rating : 4.3/5 (162 download)
Download or read book Dynamic Economic Analysis written by Gerhard Sorger and published by Cambridge University Press. This book was released on 2015-02-12 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on deterministic models in discrete time, this concise yet rigorous textbook provides a clear and systematic introduction to the theory and application of dynamic economic models. It guides students through the most popular model structures and solution concepts, from the simplest dynamic economic models through to complex problems of optimal policy design in dynamic general equilibrium frameworks. Chapters feature theorems and practical hints, and seventy-five worked examples highlight the various methods and results that can be applied in dynamic economic models. Notation and formulation is uniform throughout, so students can easily discern the similarities and differences between various model classes. Chapters include more than sixty exercises for students to self-test their analytical skills, and password-protected solutions are available for instructors on the companion website. Assuming no prior knowledge of dynamic economic analysis or dynamic optimization, this textbook is ideal for advanced students in economics.
Author : Kees van Montfort
Publisher : Springer
ISBN 13 : 3319772198
Total Pages : 442 pages
Book Rating : 4.3/5 (197 download)
Download or read book Continuous Time Modeling in the Behavioral and Related Sciences written by Kees van Montfort and published by Springer. This book was released on 2018-10-11 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides an overview of continuous time modeling in the behavioral and related sciences. It argues that the use of discrete time models for processes that are in fact evolving in continuous time produces problems that make their application in practice highly questionable. One main issue is the dependence of discrete time parameter estimates on the chosen time interval, which leads to incomparability of results across different observation intervals. Continuous time modeling by means of differential equations offers a powerful approach for studying dynamic phenomena, yet the use of this approach in the behavioral and related sciences such as psychology, sociology, economics and medicine, is still rare. This is unfortunate, because in these fields often only a few discrete time (sampled) observations are available for analysis (e.g., daily, weekly, yearly, etc.). However, as emphasized by Rex Bergstrom, the pioneer of continuous-time modeling in econometrics, neither human beings nor the economy cease to exist in between observations. In 16 chapters, the book addresses a vast range of topics in continuous time modeling, from approaches that closely mimic traditional linear discrete time models to highly nonlinear state space modeling techniques. Each chapter describes the type of research questions and data that the approach is most suitable for, provides detailed statistical explanations of the models, and includes one or more applied examples. To allow readers to implement the various techniques directly, accompanying computer code is made available online. The book is intended as a reference work for students and scientists working with longitudinal data who have a Master's- or early PhD-level knowledge of statistics.
Author : Jianjun Miao
Publisher : MIT Press
ISBN 13 : 0262043629
Total Pages : 849 pages
Book Rating : 4.2/5 (62 download)
Download or read book Economic Dynamics in Discrete Time, second edition written by Jianjun Miao and published by MIT Press. This book was released on 2020-03-03 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified and comprehensive introduction to the analytical and numerical tools for solving dynamic economic problems; substantially revised for the second edition. This book offers a unified, comprehensive, and up-to-date treatment of analytical and numerical tools for solving dynamic economic problems. The focus is on introducing recursive methods—an important part of every economist's set of tools—and readers will learn to apply recursive methods to a variety of dynamic economic problems. The book is notable for its combination of theoretical foundations and numerical methods. Each topic is first described in theoretical terms, with explicit definitions and rigorous proofs; numerical methods and computer codes to implement these methods follow. Drawing on the latest research, the book covers such cutting-edge topics as asset price bubbles, recursive utility, robust control, policy analysis in dynamic New Keynesian models with the zero lower bound on interest rates, and Bayesian estimation of dynamic stochastic general equilibrium (DSGE) models. This second edition has been substantially updated. Responding to renewed interest in modeling with multiple equilibria, it incorporates new material on this topic throughout. It offers an entirely new chapter on deterministic nonlinear systems, and provides new material on such topics as linear planar systems, chaos, bifurcations, indeterminacy and sunspot solutions, pruning nonlinear solutions, the bandit problem, rational inattention models, bequests, self-fulfilling prophecies, the cyclical behavior of unemployment and vacancies, and the long-run risk model. The exposition of each chapter has been revised and improved, and many new figures, Matlab codes, and exercises have been added. A student solutions manual can be purchased separately.
Author : Bernard Dumas
Publisher : MIT Press
ISBN 13 : 0262036541
Total Pages : 641 pages
Book Rating : 4.2/5 (62 download)
Download or read book The Economics of Continuous-Time Finance written by Bernard Dumas and published by MIT Press. This book was released on 2017-10-27 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to economic applications of the theory of continuous-time finance that strikes a balance between mathematical rigor and economic interpretation of financial market regularities. This book introduces the economic applications of the theory of continuous-time finance, with the goal of enabling the construction of realistic models, particularly those involving incomplete markets. Indeed, most recent applications of continuous-time finance aim to capture the imperfections and dysfunctions of financial markets—characteristics that became especially apparent during the market turmoil that started in 2008. The book begins by using discrete time to illustrate the basic mechanisms and introduce such notions as completeness, redundant pricing, and no arbitrage. It develops the continuous-time analog of those mechanisms and introduces the powerful tools of stochastic calculus. Going beyond other textbooks, the book then focuses on the study of markets in which some form of incompleteness, volatility, heterogeneity, friction, or behavioral subtlety arises. After presenting solutions methods for control problems and related partial differential equations, the text examines portfolio optimization and equilibrium in incomplete markets, interest rate and fixed-income modeling, and stochastic volatility. Finally, it presents models where investors form different beliefs or suffer frictions, form habits, or have recursive utilities, studying the effects not only on optimal portfolio choices but also on equilibrium, or the price of primitive securities. The book strikes a balance between mathematical rigor and the need for economic interpretation of financial market regularities, although with an emphasis on the latter.
Author : Brian Ferguson
Publisher : Routledge
ISBN 13 : 1134440545
Total Pages : 347 pages
Book Rating : 4.1/5 (344 download)
Download or read book Dynamic Economic Models in Discrete Time written by Brian Ferguson and published by Routledge. This book was released on 2003-07-10 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book will be welcomed by econometricians and students of econometrics everywhere. Introducing discrete time modelling techniques and bridging the gap between economics and econometric literature, this ambitious book is sure to be an invaluable resource for all those to whom the terms unit roots, cointegration and error correction forms, ch
Author : Vasily E. Tarasov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110627450
Total Pages : 602 pages
Book Rating : 4.1/5 (16 download)
Download or read book Economic Dynamics with Memory written by Vasily E. Tarasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-01-18 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the applications of fractional calculus, fractional operators of non-integer orders and fractional differential equations in describing economic dynamics with long memory. Generalizations of basic economic concepts, notions and methods for the economic processes with memory are suggested. New micro and macroeconomic models with continuous time are proposed to describe the fractional economic dynamics with long memory as well.
Author : Alfredo Medio
Publisher : Cambridge University Press
ISBN 13 : 9780521484619
Total Pages : 368 pages
Book Rating : 4.4/5 (846 download)
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.
Author : A. Simonovits
Publisher : Springer
ISBN 13 : 0230513530
Total Pages : 308 pages
Book Rating : 4.2/5 (35 download)
Download or read book Mathematical Methods in Dynamic Economics written by A. Simonovits and published by Springer. This book was released on 2000-06-05 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Giancarlo Gandolfo
Publisher : Springer Science & Business Media
ISBN 13 : 9783540627609
Total Pages : 712 pages
Book Rating : 4.6/5 (276 download)
Download or read book Economic Dynamics written by Giancarlo Gandolfo and published by Springer Science & Business Media. This book was released on 1997 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : L. J. Jr. Cherene
Publisher : Springer Science & Business Media
ISBN 13 : 3642455042
Total Pages : 96 pages
Book Rating : 4.6/5 (424 download)
Download or read book Set Valued Dynamical Systems and Economic Flow written by L. J. Jr. Cherene and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this monograph is to illuminate the central issues of dynamic analysis applied to economic models, using a generally accepted language of the study of dynamical systems at a level of sophistication likely to be understood by an economist versed in elementary topology. Whether an economic system is governed by a first order difference equation or several simultaneous multivalued partial differential equations, its solution is a flow that determines the state of the system given an initial condition and elapsed time. Thus the flow of a system is the central concept from which the theory here expounded develops. The explicit examples and applications herein are discrete time models, but the theoretical re sults hold for continuous time models as well. The supplementary bibliography in cludes several papers at the frontier of set-valued dynamics which may be viewed using the basic concepts defined in this text; all of these works involve demon strating that (almost) all possible trajectories that a system may follow converge to some set of equilibria. The application of set valued dynamical analysis to economic models is pro~ vided to engender in the reader an appreciation for the relevance of these con cepts to economic theory.
Author : Gerhard Sorger
Publisher : Cambridge University Press
ISBN 13 : 110708329X
Total Pages : 303 pages
Book Rating : 4.1/5 (7 download)
Download or read book Dynamic Economic Analysis written by Gerhard Sorger and published by Cambridge University Press. This book was released on 2015-02-12 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise yet rigorous, this textbook provides a clear and systematic introduction to the theory and application of dynamic economic models.
Author : Dmitri Kolyuzhnov
Publisher :
ISBN 13 :
Total Pages : 47 pages
Book Rating : 4.:/5 (129 download)
Download or read book Escape Dynamics written by Dmitri Kolyuzhnov and published by . This book was released on 2008 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: We extend a continuous-time approach to the analysis of escape dynamics in economic models with adaptive learning with constant gain. This approach is based on applying results of continuous time version of large deviations theory to the diffusion approximation of the original discrete-time dynamics under learning. We characterize escape dynamics by analytically deriving the most probable escape point and mean escape time. The continuous-time approach is tested on the Phelps problem of a government controlling inflation while adaptively learning the approximate Phillips curve, studied previously by Sargent (1999) and Cho, Williams and Sargent (2002) (henceforth, CWS). We compare the results with simulations and the results obtained by CWS. We express reservations regarding applicability of escape dynamics theory to characterization of mean escape time for economically plausible values of constant gain in the model of CWS.We show that for these values of the gain simple considerations and formulae generate much better mean escape time results than the large deviations theory. We explain it by insufficient averaging near the point of self confirming equilibrium for relatively large gains and suggest two changes which might help the approaches based on large deviation theory to work better in this gain interval.
Author : A. Halanay
Publisher : Springer Science & Business Media
ISBN 13 : 9401589151
Total Pages : 373 pages
Book Rating : 4.4/5 (15 download)
Download or read book Differential Equations, Discrete Systems and Control written by A. Halanay and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the most important mathematical tools for studying economic models. It contains basic topics concerning linear differential equations and linear discrete-time systems; a sketch of the general theory of nonlinear systems and the stability of equilibria; an introduction to numerical methods for differential equations, and some applications to the solution of nonlinear equations and static optimization. The second part of the book discusses stabilization problems, including optimal stabilization, linear-quadratic optimization and other problems of dynamic optimization, including a proof of the Maximum Principle for general optimal control problems. All these mathematical subjects are illustrated with detailed discussions of economic models. Audience: This text is recommended as auxiliary material for undergraduate and graduate level MBA students, while at the same time it can also be used as a reference by specialists.
Author : Akio Matsumoto
Publisher : Springer
ISBN 13 : 981101521X
Total Pages : 257 pages
Book Rating : 4.8/5 (11 download)
Download or read book Essays in Economic Dynamics written by Akio Matsumoto and published by Springer. This book was released on 2016-09-22 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects the state of the art in nonlinear economic dynamics, providing a broad overview of dynamic economic models at different levels. The wide variety of approaches ranges from theoretical and simulation analysis to methodological study. In particular, it examines the local and global asymptotical behavior of both macro- and micro- level mathematical models, theoretically as well as using simulation. It also focuses on systems with one or more time delays for which new methodology has to be developed to investigate their asymptotic properties. The book offers a comprehensive summary of the existing methodology with extensions to the more complex model variants, since considerations on bounded rationality of complex economic behavior provide the foundation underlying choice-theoretic and policy-oriented studies of macro behavior, which impact the real macro economy. It includes 13 chapters addressing traditional models such as monopoly, duopoly and oligopoly in microeconomics and Keynesian, Goodwinian, and Kaldor–Kaleckian models in macroeconomics. Each chapter presents new aspects of these traditional models that have never been seen before. This work renews the past wisdom and reveals tomorrow's knowledge.
Author : Kees van Montfort
Publisher :
ISBN 13 : 9783319772202
Total Pages : 442 pages
Book Rating : 4.7/5 (722 download)
Download or read book Continuous Time Modeling in the Behavioral and Related Sciences written by Kees van Montfort and published by . This book was released on 2018 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides an overview of continuous time modeling in the behavioral and related sciences. It argues that the use of discrete time models for processes that are in fact evolving in continuous time produces problems that make their application in practice highly questionable. One main issue is the dependence of discrete time parameter estimates on the chosen time interval, which leads to incomparability of results across different observation intervals. Continuous time modeling by means of differential equations offers a powerful approach for studying dynamic phenomena, yet the use of this approach in the behavioral and related sciences such as psychology, sociology, economics and medicine, is still rare. This is unfortunate, because in these fields often only a few discrete time (sampled) observations are available for analysis (e.g., daily, weekly, yearly, etc.). However, as emphasized by Rex Bergstrom, the pioneer of continuous-time modeling in econometrics, neither human beings nor the economy cease to exist in between observations. In 16 chapters, the book addresses a vast range of topics in continuous time modeling, from approaches that closely mimic traditional linear discrete time models to highly nonlinear state space modeling techniques. Each chapter describes the type of research questions and data that the approach is most suitable for, provides detailed statistical explanations of the models, and includes one or more applied examples. To allow readers to implement the various techniques directly, accompanying computer code is made available online. The book is intended as a reference work for students and scientists working with longitudinal data who have a Master's- or early PhD-level knowledge of statistics.--
Author : Mevin B. Hooten
Publisher : CRC Press
ISBN 13 : 1466582154
Total Pages : 306 pages
Book Rating : 4.4/5 (665 download)
Download or read book Animal Movement written by Mevin B. Hooten and published by CRC Press. This book was released on 2017-03-16 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of animal movement has always been a key element in ecological science, because it is inherently linked to critical processes that scale from individuals to populations and communities to ecosystems. Rapid improvements in biotelemetry data collection and processing technology have given rise to a variety of statistical methods for characterizing animal movement. The book serves as a comprehensive reference for the types of statistical models used to study individual-based animal movement. Animal Movement is an essential reference for wildlife biologists, quantitative ecologists, and statisticians who seek a deeper understanding of modern animal movement models. A wide variety of modeling approaches are reconciled in the book using a consistent notation. Models are organized into groups based on how they treat the underlying spatio-temporal process of movement. Connections among approaches are highlighted to allow the reader to form a broader view of animal movement analysis and its associations with traditional spatial and temporal statistical modeling. After an initial overview examining the role that animal movement plays in ecology, a primer on spatial and temporal statistics provides a solid foundation for the remainder of the book. Each subsequent chapter outlines a fundamental type of statistical model utilized in the contemporary analysis of telemetry data for animal movement inference. Descriptions begin with basic traditional forms and sequentially build up to general classes of models in each category. Important background and technical details for each class of model are provided, including spatial point process models, discrete-time dynamic models, and continuous-time stochastic process models. The book also covers the essential elements for how to accommodate multiple sources of uncertainty, such as location error and latent behavior states. In addition to thorough descriptions of animal movement models, differences and connections are also emphasized to provide a broader perspective of approaches.
