Development and Application of Optimal Control Techniques for a Socio-economic System PDF Download

Author: James Franklin Stewart
Publisher:
ISBN:
Category : Economics
Languages : en
Pages : 322

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Author: Y. Murata
Publisher: Springer Science & Business Media
ISBN: 1461257379
Category : Business & Economics
Languages : en
Pages : 210

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Book Description
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.

Author: Daniel Léonard
Publisher: Cambridge University Press
ISBN: 9780521337465
Category : Business & Economics
Languages : en
Pages : 372

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Book Description
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.

Author: Abdelhamid Abdouli
Publisher:
ISBN:
Category : Economic development
Languages : en
Pages : 334

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Author: Guillermo L. Gómez M.
Publisher: Springer Science & Business Media
ISBN:
Category : Business & Economics
Languages : en
Pages : 472

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Book Description
This monograph deals with the application of stochastic analysis and control techniques to the study of socioeconomic problems arising in processes of development and growth. Economic issues are formulated in a manner amenable to rigorous mathematical scrutiny without losing sight of their essential content. This self-contained work consists of three parts. Part I is a detailed examination of basic themes of available theories of political economy and develops a body of theoretical tools appropriate to the investigation of stochastic accumulation of capital within the framework of social reproduction. Part II points to the elaboration of a novel approach using probabilistic and variational methods. Key concepts such as expansion of capacity, development of productive forces, generation of economic surplus and effective demand are incorporated in stochastic models where learning, renewal of system potentials and conflicting social arrangements are at the heart of capital accumulation. Part III consists of four succinct surveys which carefully introduce the basic machinery from the theory of systems, (deterministic) optimal control, stochastic analysis and control of random systems. The last survey identifies distinguishing features of a labor-surplus economy of the peripheral type within the world capitalist system. The application of the semimartingale methodology and analogies from probabilistic mechanisc shifts informational structures to the forefront and points to fundamental links between microscopic and macroscopic aspects of system interactions as well as time scalling and observation of socioeconomic phenomena.

Author: Thomas A. Weber
Publisher: MIT Press
ISBN: 0262015730
Category : Business & Economics
Languages : en
Pages : 387

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Book Description
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.

Author: Jesús Crespo Cuaresma
Publisher: Springer Science & Business Media
ISBN: 3642021328
Category : Business & Economics
Languages : en
Pages : 295

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Book Description
The major goal of the book is to create an environment for matching different d- ciplinary approaches to studying economic growth. This goal is implemented on the basis of results of the Symposium “Applications of Dynamic Systems to E- nomic Growth with Environment” which was held at the International Institute for Applied Systems Analysis (IIASA) on the 7th–8th of November, 2008, within the IIASA Project “Driving Forces of Economic Growth” (ECG). The symposium was organized by coordinators of the ECG project: Jesus Crespo-Cuaresma from IIASA World Population Program, and Tapio Palokangas and Alexander Tarasyev from IIASA Dynamic Systems Program. The book addresses the issues of sustainability of economic growth in a cha- ing environment, global warming and exhausting energy resources, technological change, and also focuses on explanations of signi?cant ?uctuations in countries’ growth rates. The chapters focus on the analysis of historical economic growth - periences in relation to environmental policy, technological change, development of transport infrastructure, population issues and environmental mortality. The book is written in a popular-science style, accessible to any intelligent lay reader. The prime audience for the book is economists, mathematicians and en- neersworkingonproblemsofeconomicgrowthandenvironment.Themathematical part of the book is presented in a rigorous manner, and the detailed analysis is - pected to be of interest to specialists in optimal control and applications to economic modeling. The book consists of four interrelated parts.

Author: Bowon Kim
Publisher: Springer
ISBN: 9811035997
Category : Business & Economics
Languages : en
Pages : 233

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Book Description
This book focuses on the applications of optimal control theory to operations strategy and supply chain management. It emphasizes the importance of optimal control theory as a tool to analyze and understand fundamental issues in the respective fields. Delving deeper, the book also elaborates on how optimal control theory provides managerial and economic insights, enabling readers to comprehend the dynamic activities and interactions in operations. Given that optimal control theory is not a dominant approach to studying operations management in the current literature, this book fills that gap by showing its effectiveness as a tool to supplement other methodologies in operations.

Author: Suresh P. Sethi
Publisher: Taylor & Francis US
ISBN: 9780387280929
Category : Business & Economics
Languages : en
Pages : 536

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Book Description
Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the authors have applied to business management problems developed from their research and classroom instruction. Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. The new edition has been completely refined with careful attention to the text and graphic material presentation. Chapters cover a range of topics including finance, production and inventory problems, marketing problems, machine maintenance and replacement, problems of optimal consumption of natural resources, and applications of control theory to economics. The book contains new results that were not available when the first edition was published, as well as an expansion of the material on stochastic optimal control theory.

Author: Josef Gruber
Publisher: Springer Science & Business Media
ISBN: 3642516750
Category : Business & Economics
Languages : en
Pages : 629

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Book Description
This volume contains a refereed selection of revised papers which were originally presented at the Second International Conference on Econometric Decision Models, University of Hagen (FernUni versitat). The conference was held in Haus Nordhelle, a meeting place in the mountainous area " Sauerland" , some 50 kilometers south of Hagen, on August 29 - September 1, 1989. Some details about this conference are given in the first paper, they need not be repeated here. The 40 papers included in this volume are organized in 10 "parts", shown in the table of contents. Included are such "fashionable" topics like "optimal control", "cointegration" and "rational expec tations models". In each part, the papers have been arranged alphabetically by author, unless there were good reasons for a different arrangement. To facilitate the decision making of the readers, all papers (except a few short ones) contain an abstract, a list of keywords and a table of contents. At the end of the proceedings volume, there is a list of authors. More than ten years ago, I began to organize meetings of econometricians, mainly called "seminar" or " colloquium". One major purpose of these meetings has always been to improve international cooperation of econometric model builders (and model users) from "the East" and "the West". Unprecedented changes to the better have taken place recently ("perestroika"). For a large fraction of participants from the Soviet Union, the 1989 conference was the first conference in a Western country.