Dynamic Economic Models and Optimal Control

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Publisher :
ISBN 13 : 9780444224910
Total Pages : 585 pages
Book Rating : 4.2/5 (249 download)

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Book Synopsis Dynamic Economic Models and Optimal Control by :

Download or read book Dynamic Economic Models and Optimal Control written by and published by . This book was released on 1992 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamic Economic Models and Optimal Control

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Publisher :
ISBN 13 : 9780444884916
Total Pages : pages
Book Rating : 4.8/5 (849 download)

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Book Synopsis Dynamic Economic Models and Optimal Control by : Gustav Feichtinger

Download or read book Dynamic Economic Models and Optimal Control written by Gustav Feichtinger and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of Dynamic Economic Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521603683
Total Pages : 596 pages
Book Rating : 4.6/5 (36 download)

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Book Synopsis Foundations of Dynamic Economic Analysis by : Michael Ralph Caputo

Download or read book Foundations of Dynamic Economic Analysis written by Michael Ralph Caputo and published by Cambridge University Press. This book was released on 2005-01-17 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimal Control and System Theory in Dynamic Economic Analysis

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Publisher : North-Holland
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Optimal Control and System Theory in Dynamic Economic Analysis by : Masanao Aoki

Download or read book Optimal Control and System Theory in Dynamic Economic Analysis written by Masanao Aoki and published by North-Holland. This book was released on 1976 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Control Theory with Applications in Economics

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Publisher : MIT Press
ISBN 13 : 0262015730
Total Pages : 387 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Optimal Control Theory with Applications in Economics by : Thomas A. Weber

Download or read book Optimal Control Theory with Applications in Economics written by Thomas A. Weber and published by MIT Press. This book was released on 2011-09-30 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to optimal control theory, with an emphasis on applications in economics. This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume. Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic continuous-time systems in economics. The theory of ordinary differential equations (ODEs) is the backbone of the theory developed in the book, and chapter 2 offers a detailed review of basic concepts in the theory of ODEs, including the solution of systems of linear ODEs, state-space analysis, potential functions, and stability analysis. Following this, the book covers the main results of optimal control theory, in particular necessary and sufficient optimality conditions; game theory, with an emphasis on differential games; and the application of control-theoretic concepts to the design of economic mechanisms. Appendixes provide a mathematical review and full solutions to all end-of-chapter problems. The material is presented at three levels: single-person decision making; games, in which a group of decision makers interact strategically; and mechanism design, which is concerned with a designer's creation of an environment in which players interact to maximize the designer's objective. The book focuses on applications; the problems are an integral part of the text. It is intended for use as a textbook or reference for graduate students, teachers, and researchers interested in applications of control theory beyond its classical use in economic growth. The book will also appeal to readers interested in a modeling approach to certain practical problems involving dynamic continuous-time models.

Dynamic Economic Models and Optimal Control

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Publisher : North Holland
ISBN 13 :
Total Pages : 612 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Dynamic Economic Models and Optimal Control by : Gustav Feichtinger

Download or read book Dynamic Economic Models and Optimal Control written by Gustav Feichtinger and published by North Holland. This book was released on 1992 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth issue in a series of volumes on optimal control theory and its economic applications. This volume reflects the important role which optimal control theory and differential games play in economics and management science. They provide powerful tools for the analysis of intertemporal decision processes arising in economics. The first part of the volume deals with optimal control theory and its applications to economics. The second part contains a selection of contributions to applied dynamic game theory. Finally, in the third part the strange behaviour of various nonlinear dynamical systems is investigated. It illustrates the fact that persistent oscillations and chaos play an increasing role in mathematical economics. In addition to including chaos theory a second innovation in this fourth volume of the series is that for the first time selected discussion remarks have been attached as addenda to some of the contributions.

Optimization in Economics and Finance

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387242798
Total Pages : 184 pages
Book Rating : 4.2/5 (427 download)

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Book Synopsis Optimization in Economics and Finance by : Bruce D. Craven

Download or read book Optimization in Economics and Finance written by Bruce D. Craven and published by Springer Science & Business Media. This book was released on 2005 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extends the optimization techniques, in a form that may be adopted for modeling social choice problems. The models in this book provide possible models for a society's social choice for an allocation that maximizes welfare and utilization of resources. A computer program SCOM is presented here for computing social choice models by optimal control.

Introduction to Dynamic Economic Models

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Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Dynamic Economic Models by : Brian S. Ferguson

Download or read book Introduction to Dynamic Economic Models written by Brian S. Ferguson and published by . This book was released on 1998 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unnecessary complexity has been avoided, yet the models have been presented in the same general form as they appear in the professional literature.

Introductory Optimization Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662007193
Total Pages : 401 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Introductory Optimization Dynamics by : P.N.V. Tu

Download or read book Introductory Optimization Dynamics written by P.N.V. Tu and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Control theory has been increasingly used in Economi- and Management Science in the last fifteen years or so. It is now commonplace, even at textbook level. It has been applied to a great many areas of Economics and Management Science, such as Optimal Growth, Optimal Population, Pollution control, Natural Resources, Bioeconomics, Education, International Trade, Monopoly, Oligopoly and Duopoly, Urban and Regional Economics, Arms Race control, Business Finance, Inventory Planning, Marketing, Maintenance and Replacement policy and many others. It is a powerful tool of dynamic optimization. There is no doubt social sciences students should be familiar with this tool, if not for their own research, at least for reading the literature. These Lecture Notes attempt to provide a plain exposition of Optimal Control Theory, with a number of economic examples and applications designed mainly to illustrate the various techniques and point out the wide range of possible applications rather than to treat exhaustively any area of economic theory or policy. Chapters 2,3 and 4 are devoted to the Calculus of Variations, Chapter 5 develops Optimal Control theory from the Variational approach, Chapter 6 deals with the problems of constrained state and control variables , Chapter 7, with Linear Control models and Chapter 8, with stabilization models. Discrete systems are discussed in Chapter 9 and Sensitivity analysis in Chapter 10. Chapter 11 presents a wide range of Economics and Management Science applications.

Optimal Control Methods for Linear Discrete-Time Economic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461257379
Total Pages : 210 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Optimal Control Methods for Linear Discrete-Time Economic Systems by : Y. Murata

Download or read book Optimal Control Methods for Linear Discrete-Time Economic Systems written by Y. Murata and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: As our title reveals, we focus on optimal control methods and applications relevant to linear dynamic economic systems in discrete-time variables. We deal only with discrete cases simply because economic data are available in discrete forms, hence realistic economic policies should be established in discrete-time structures. Though many books have been written on optimal control in engineering, we see few on discrete-type optimal control. More over, since economic models take slightly different forms than do engineer ing ones, we need a comprehensive, self-contained treatment of linear optimal control applicable to discrete-time economic systems. The present work is intended to fill this need from the standpoint of contemporary macroeconomic stabilization. The work is organized as follows. In Chapter 1 we demonstrate instru ment instability in an economic stabilization problem and thereby establish the motivation for our departure into the optimal control world. Chapter 2 provides fundamental concepts and propositions for controlling linear deterministic discrete-time systems, together with some economic applica tions and numerical methods. Our optimal control rules are in the form of feedback from known state variables of the preceding period. When state variables are not observable or are accessible only with observation errors, we must obtain appropriate proxies for these variables, which are called "observers" in deterministic cases or "filters" in stochastic circumstances. In Chapters 3 and 4, respectively, Luenberger observers and Kalman filters are discussed, developed, and applied in various directions. Noticing that a separation principle lies between observer (or filter) and controller (cf.

Mathematical Methods in Dynamic Economics

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Publisher : Springer
ISBN 13 : 0230513530
Total Pages : 308 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Mathematical Methods in Dynamic Economics by : A. Simonovits

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.

Optimal Control Problems Related to the Robinson–Solow–Srinivasan Model

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Publisher : Springer Nature
ISBN 13 : 9811622523
Total Pages : 354 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Optimal Control Problems Related to the Robinson–Solow–Srinivasan Model by : Alexander J. Zaslavski

Download or read book Optimal Control Problems Related to the Robinson–Solow–Srinivasan Model written by Alexander J. Zaslavski and published by Springer Nature. This book was released on 2021-08-07 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of classes of optimal control problems arising in economic growth theory, related to the Robinson–Solow–Srinivasan (RSS) model. The model was introduced in the 1960s by economists Joan Robinson, Robert Solow, and Thirukodikaval Nilakanta Srinivasan and was further studied by Robinson, Nobuo Okishio, and Joseph Stiglitz. Since then, the study of the RSS model has become an important element of economic dynamics. In this book, two large general classes of optimal control problems, both of them containing the RSS model as a particular case, are presented for study. For these two classes, a turnpike theory is developed and the existence of solutions to the corresponding infinite horizon optimal control problems is established. The book contains 9 chapters. Chapter 1 discusses turnpike properties for some optimal control problems that are known in the literature, including problems corresponding to the RSS model. The first class of optimal control problems is studied in Chaps. 2–6. In Chap. 2, infinite horizon optimal control problems with nonautonomous optimality criteria are considered. The utility functions, which determine the optimality criterion, are nonconcave. This class of models contains the RSS model as a particular case. The stability of the turnpike phenomenon of the one-dimensional nonautonomous concave RSS model is analyzed in Chap. 3. The following chapter takes up the study of a class of autonomous nonconcave optimal control problems, a subclass of problems considered in Chap. 2. The equivalence of the turnpike property and the asymptotic turnpike property, as well as the stability of the turnpike phenomenon, is established. Turnpike conditions and the stability of the turnpike phenomenon for nonautonomous problems are examined in Chap. 5, with Chap. 6 devoted to the study of the turnpike properties for the one-dimensional nonautonomous nonconcave RSS model. The utility functions, which determine the optimality criterion, are nonconcave. The class of RSS models is identified with a complete metric space of utility functions. Using the Baire category approach, the turnpike phenomenon is shown to hold for most of the models. Chapter 7 begins the study of the second large class of autonomous optimal control problems, and turnpike conditions are established. The stability of the turnpike phenomenon for this class of problems is investigated further in Chaps. 8 and 9.

Optimal Control, Expectations and Uncertainty

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Publisher : Cambridge University Press
ISBN 13 : 0521264448
Total Pages : 258 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Optimal Control, Expectations and Uncertainty by : Sean Holly

Download or read book Optimal Control, Expectations and Uncertainty written by Sean Holly and published by Cambridge University Press. This book was released on 1989-07-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of how the rational expectations revolution and game theory have enhanced the understanding of how an economy functions.

Optimal Control Theory and Static Optimization in Economics

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Publisher : Cambridge University Press
ISBN 13 : 9780521337465
Total Pages : 372 pages
Book Rating : 4.3/5 (374 download)

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Book Synopsis Optimal Control Theory and Static Optimization in Economics by : Daniel Léonard

Download or read book Optimal Control Theory and Static Optimization in Economics written by Daniel Léonard and published by Cambridge University Press. This book was released on 1992-01-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This textbook is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigour. Economic intuitions are emphasized, and examples and problem sets covering a wide range of applications in economics are provided to assist in the learning process. Theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with simple formulations and progressing to advanced topics such as control parameters, jumps in state variables, and bounded state space. For greater economy and elegance, optimal control theory is introduced directly, without recourse to the calculus of variations. The connection with the latter and with dynamic programming is explained in a separate chapter. A second purpose of the book is to draw the parallel between optimal control theory and static optimization. Chapter 1 provides an extensive treatment of constrained and unconstrained maximization, with emphasis on economic insight and applications. Starting from basic concepts, it derives and explains important results, including the envelope theorem and the method of comparative statics. This chapter may be used for a course in static optimization. The book is largely self-contained. No previous knowledge of differential equations is required.

Dynamic Economic Problems with Regime Switches

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Publisher : Springer Nature
ISBN 13 : 3030545768
Total Pages : 317 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Dynamic Economic Problems with Regime Switches by : Josef L. Haunschmied

Download or read book Dynamic Economic Problems with Regime Switches written by Josef L. Haunschmied and published by Springer Nature. This book was released on 2020-11-07 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Control Theory Methods in Economics

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792398455
Total Pages : 278 pages
Book Rating : 4.3/5 (984 download)

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Book Synopsis Control Theory Methods in Economics by : Jati Sengupta

Download or read book Control Theory Methods in Economics written by Jati Sengupta and published by Springer Science & Business Media. This book was released on 1997-01-31 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control theory methods in economics have historically developed over three phases. The first involved basically the feedback control rules in a deterministic framework which were applied in macrodynamic models for analyzing stabilization policies. The second phase raised the issues of various types of inconsistencies in deterministic optimal control models due to changing information and other aspects of stochasticity. Rational expectations models have been extensively used in this plan to resolve some of the inconsistency problems. The third phase has recently focused on the various aspects of adaptive control. where stochasticity and information adaptivity are introduced in diverse ways e.g .• risk adjustment and risk sensitivity of optimal control, recursive updating rules via Kalman filtering and weighted recursive least squares and variable structure control methods in nonlinear framework. Problems of efficient econometric estimation of optimal control models have now acquired significant importance. This monograph provides an integrated view of control theory methods, synthesizing the three phases from feedback control to stochastic control and from stochastic control to adaptive control. Aspects of econometric estimation are strongly emphasized here, since these are very important in empirical applications in economics.

Introductory Optimization Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540133056
Total Pages : 387 pages
Book Rating : 4.1/5 (33 download)

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Book Synopsis Introductory Optimization Dynamics by : Pierre N. V. Tu

Download or read book Introductory Optimization Dynamics written by Pierre N. V. Tu and published by Springer Science & Business Media. This book was released on 1984 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: