Optimal Control And System Theory In Dynamic Economic Analysis

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Optimal Control And System Theory In Dynamic Economic Analysis
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Author : Masanao Aoki
language : en
Publisher: North Holland
Release Date : 1976-01-01
Optimal Control And System Theory In Dynamic Economic Analysis written by Masanao Aoki and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-01 with Economics categories.
Optimal Control Theory And Static Optimization In Economics
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Author : Daniel Léonard
language : en
Publisher: Cambridge University Press
Release Date : 1992-01-31
Optimal Control Theory And Static Optimization In Economics written by Daniel Léonard 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 1992-01-31 with Business & Economics categories.
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.
Optimal Control Theory
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Author : Suresh P. Sethi
language : en
Publisher: Taylor & Francis US
Release Date : 2005-09-06
Optimal Control Theory written by Suresh P. Sethi and has been published by Taylor & Francis US this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-06 with Business & Economics categories.
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.
Lectures On Mathematics For Economic And Financial Analysis
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Author : Giorgio Giorgi
language : en
Publisher: Springer Nature
Release Date : 2025-03-21
Lectures On Mathematics For Economic And Financial Analysis written by Giorgio Giorgi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-21 with Mathematics categories.
This book offers a comprehensive yet approachable introduction to essential mathematical concepts, tailored specifically for undergraduate and first-year graduate students in Economics and Social Sciences. Based on lectures delivered at the University of Pavia's Department of Economics and Management, and also in UNED’ Department of Applied Mathematics in Madrid, it aims to equip students with the mathematical tools necessary to better understand their courses in economics and finance, where math is applied directly. Unlike texts focused on formalized topics like Mathematical Economics or Operations Research, this book presents basic mathematical principles and methods that are immediately relevant to students. With a clear, accessible approach, it includes numerous examples, some with economic applications, to illustrate key concepts and make them easier to grasp. The authors have carefully chosen proofs that are straightforward and beneficial for students to encounter, offering an introduction to important proof techniques without overwhelming complexity. The book also provides a select bibliography, allowing readers to explore topics in greater depth if desired. Drawing on years of teaching experience, the authors have created a valuable resource that serves as both a foundation and a practical guide for students navigating the mathematical aspects of economics and social science courses.
Dynamic Modelling And Control Of National Economies 1989
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Author : N.M. Christodoulakis
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Dynamic Modelling And Control Of National Economies 1989 written by N.M. Christodoulakis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Business & Economics categories.
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.
New Trends In Dynamic Systems Theory And Economics
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Author : Masanao Aoki
language : en
Publisher: Elsevier
Release Date : 1979-01-28
New Trends In Dynamic Systems Theory And Economics written by Masanao Aoki and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-01-28 with Technology & Engineering categories.
New Trends in Dynamic System Theory and Economics contains selected papers presented at a two-week seminar on New Trends in Dynamic System Theory and Economics held at the International Center for Mechanical Sciences in Udine, Italy, on September 12-23, 1977. Contributors discuss recent trends in the application of dynamic system theory in economic analysis, paying particular attention to information patterns and uncertainty, optimal control theory and its application, and disequilibrium analysis. This book is divided into three sections and consists of 20 chapters. Decision problems of agents with different or imperfect information or under uncertainty are first discussed. This section gives a detailed analysis of the properties of Nash and Stackelberg equilibria in dynamic games under several different information patterns. Consideration is also given to microdecision problems of individual agents, macroeconomic stabilization of an uncertain dynamic economy, and the uncertainty of parameter values. The chapters that follow focus on recent advances in optimal control theory and application of control theory. Disequilibrium analysis of a macroeconomic model is presented, along with the dynamics of disequilibria of a macroeconomic model with flexible wages and prices. A generalization of Pareto optimality is used to discuss the connection between the optimality and stability problems in a general setting. The last three chapters explore ""modern"" approaches to tâtonnement processes. This book will be of interest to students and practitioners of applied mathematics and econometrics.
Optimal Control Of The Growth Of Wealth Of Nations
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Author : E.N. Chukwu
language : en
Publisher: CRC Press
Release Date : 2003-01-23
Optimal Control Of The Growth Of Wealth Of Nations written by E.N. Chukwu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-23 with Mathematics categories.
Students and researchers in applied mathematics and applied economics can use this introductory-level graduate text. It looks at the current problems of the development of the global economy by studying the dynamics of key economic variables, such as gross national product, interest rates, employment, value of capital stock, prices (inflation) and
System Theoretic Methods In Economic Modelling I
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Author : S. Mittnik
language : en
Publisher: Elsevier
Release Date : 2014-06-28
System Theoretic Methods In Economic Modelling I written by S. Mittnik and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Business & Economics categories.
The value of applying system-theoretic concepts to economic modelling problems arises from the fact that it offers a unifying framework for modelling dynamic systems. In addition to offering this powerful conceptual framework, it provides a wide range of tools useful in applied work. System-theoretic techniques enter predominantly two stages of economic modelling efforts: the stage of model construction and the stage of model application in accordance with the modelling. The objective of this and subsequent volumes on System-Theoretic Methods in Economic Modelling I is to initiate and/or intensify dialogues between researchers and practitioners within and across the disciplines involved. This first volume brings together papers exhibiting a wide range of system-theoretic techniques and applications to economic problems. The papers have been divided into two groups, following roughly--but not necessarily--the above classification into the construction and application stages of economic modelling. The papers in the first group focus on the identification of dynamic and static systems, while the papers in the second group address dynamic optimization problems.
Exploratory And Explanatory Statistical Analysis Of Spatial Data
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Author : C.P.A. Bartels
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Exploratory And Explanatory Statistical Analysis Of Spatial Data written by C.P.A. Bartels and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
In September 1977 a "Regional Science Symposium" was held at the Faculty of Economics of the University of Goningen in the Netherlands. The impetus in organizing this symposium was the recent estab lishmen t at the F acuIty of Economics of a group engaged in teaching and research within the field of regional science. The aim of the symposium was to familiarize university members with regional science and to introduce the new group to both the national and international scene. Two separate topics of potential interest to both researchers and policy-makers were selected. The first theme, spatial inequalities and regional development, was chosen because of its central place in regional science. Authors from several disciplines were asked to approach this theme from a general, policy-oriented point of view. This ensured the spotlighting of the various dimensions of spatial inequality and its implications for regional policy. The results of their efforts have been collected in a volume entitled Spatial Inequalities and Regional Development. The second theme focussed on spatial statistical analysis. This branch of statistics is a relatively new one. It is receiving growing attention from researchers in the field of applied regional science. The conference dealing with this topic concentrated on recent research results related to the use of appropriate statistical and econometric methods for analyzing spatial data. The papers con cerned have been collected in another volume, entitled Exploratory and Explanatory Statistical Analysis of Spatial Data.
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.