Discrete-time Optimal Control of an Economic System Using Different Objective Functions *) PDF Download

Author: Carl-Louis Sandblom
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 70

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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: 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: N.M. Christodoulakis
Publisher: Elsevier
ISBN: 1483298825
Category : Business & Economics
Languages : en
Pages : 599

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Book Description
The Symposium aimed at analysing and solving the various problems of representation and analysis of decision making in economic systems starting from the level of the individual firm and ending up with the complexities of international policy coordination. The papers are grouped into subject areas such as game theory, control methods, international policy coordination and the applications of artificial intelligence and experts systems as a framework in economic modelling and control. The Symposium therefore provides a wide range of important information for those involved or interested in the planning of company and national economics.

Author: Yasuo Murata
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 224

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Author: R. Neck
Publisher: Elsevier
ISBN: 008053659X
Category : Business & Economics
Languages : en
Pages : 443

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Book Description
This volume contains papers presented at the IFAC symposium on Modeling and control of Economic Systems (SME 2001), which was held at the university of Klagenfurt, Austria. The symposium brought together scientists and users to explore current theoretical developments of modeling techniques for economic systems. It contains a section of plenary, invited and contributed papers presented at the SME 2001 symposium. The papers presented in this volume reflect advances both in methodology and in applications in the area of modeling and control of economic systems.

Author: Karl J. Åström
Publisher: Courier Corporation
ISBN: 0486445313
Category : Technology & Engineering
Languages : en
Pages : 322

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Book Description
Unabridged republication of the edition published by Academic Press, 1970.

Author: Andranik S. Tangian
Publisher: Springer Science & Business Media
ISBN: 3642560385
Category : Business & Economics
Languages : en
Pages : 581

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Book Description
For some seven decades, econometrics has been almost exclusiveley dealing with constructing and applying econometric equation systems, which constitute constraints in econometric optimization models. The second major component, the scalarvalued objective function, has only in recent years attracted more attention and some progress has been made. This book is devoted to theories, models and methods for constructing scalarvalued objective functions for econometric optimization models, to their applications, and to some related topics like historical issues about pioneering contributions by Ragnar Frisch and Jan Tinbergen.

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: Roger A. Sedjo
Publisher: Routledge
ISBN: 1351725912
Category : Social Science
Languages : en
Pages : 659

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Book Description
This title was first published in 2003. The 'Economics of Forestry' is a specialized subset of resource economics addressing a specific natural resource - the forest - which is usually a relatively long time period. Hence, forest economics has characteristics similar to nonrenewable resources but also has those of a renewable resource, in some cases approaching those of agriculture. This volume comprises some of the most significant journal essays in forest economics and forest policy. The International Library of Environmental Economics and Policy explores the influence of economics on the development of environmental and natural resource policy. In a series of twenty five volumes, the most significant journal essays in key areas of contemporary environmental and resource policy are collected. Scholars who are recognized for their expertise and contribution to the literature in the various research areas serve as volume editors and write essays that provides the context for the collection. Volumes in the series reflect three broad strands of economic research including 1) Natural and Environmental Resources, 2) Policy Instruments and Institutions and 3) Methodology. The editors, in their introduction to each volume, provide a state-of-the-art overview of the topic and explain the influence and relevance of the collected papers on the development of policy. This reference series provides access to the economic literature that has shaped contemporary perspectives on land use analysis and policy.