Mathematics for Stability and Optimization of Economic Systems

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Publisher : Academic Press
ISBN 13 : 1483271293
Total Pages : 439 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematics for Stability and Optimization of Economic Systems by : Yasuo Murata

Download or read book Mathematics for Stability and Optimization of Economic Systems written by Yasuo Murata and published by Academic Press. This book was released on 2014-05-10 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic Theory and Mathematical Economics: Mathematics for Stability and Optimization of Economic Systems provides information pertinent to the stability aspects and optimization methods relevant to various economic systems. This book presents relevant mathematical theorems sufficient to develop important economic systems, including Leontief input–output systems, Keynesian dynamic models, the Ramsey optimal accumulation systems, and von Neumann expanding economic systems. Organized into two parts encompassing nine chapters, this book begins with an overview of useful theorems on matrices, eigenvalue problems, and matrices with dominant diagonals and P-matrices. This text then explores the linear transformations on vector spaces. Other chapters consider the Hawkins–Simon theorem concerning non-negative linear systems. This book discusses as well the dual linear relations and optimization methods applicable to inequality economic systems. The final chapter deals with powerful optimal control method for dynamical systems. This book is a valuable resource for mathematicians, economists, research workers, and graduate students.

Dynamic Optimization and Mathematical Economics

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Publisher : Springer Science & Business Media
ISBN 13 : 1468435728
Total Pages : 273 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Dynamic Optimization and Mathematical Economics by : Pan-Tai Liu

Download or read book Dynamic Optimization and Mathematical Economics written by Pan-Tai Liu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an outgrowth of the advancement in modern control theory during the past 20 years, dynamic modeling and analysis of economic systems has become an important subject in the study of economic theory. Recent developments in dynamic utility, economic planning, and profit optimiza tion, for example, have been greatly influenced by results in optimal control, stabilization, estimation, optimization under conflicts, multi criteria optimization, control of large-scale systems, etc. The great success that has been achieved so far in utilizing modern control theory in economic systems should be attributed to the effort of control theorists as well as economists. Collaboration between the two groups of researchers has proven to be most successful in many instances; nevertheless, the gap between them has existed for some time. Whereas a control theorist frequently sets up a mathematically feasible model to obtain results that permit economic interpretations, an economist is concerned more with the fidelity of the model in representing a real world problem, and results that are obtained (through possibly less mathematical analysis) are due largely to economic insight. The papers appearing in this volume are divided into three parts. In Part I there are five papers on the application of control theory to economic planning. Part II contains five papers on exploration, exploita tion, and pricing of extractive natural resources. Finally, in Part III, some recent advances in large-scale systems and decentralized control appear.

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.

Optimization and Stability Theory for Economic Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521336055
Total Pages : 440 pages
Book Rating : 4.3/5 (36 download)

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Book Synopsis Optimization and Stability Theory for Economic Analysis by : Brian Beavis

Download or read book Optimization and Stability Theory for Economic Analysis written by Brian Beavis and published by Cambridge University Press. This book was released on 1990 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability. Both of these are topics central to economic analysis since the latter is so much concerned with the optimizing behaviour of economic agents and the stability of the interaction processes to which this gives rise. The topics covered include convexity, mathematical programming, fixed point theorems, comparative static analysis and duality, the stability of dynamic systems, the calculus of variations and optimal control theory. The authors present a more detailed and wide-ranging discussion of these topics than is to be found in the few books which attempt a similar coverage. Although the text deals with fairly advanced material, the mathematical prerequisites are minimised by the inclusion of an integrated mathematical review designed to make the text self-contained and accessible to the reader with only an elementary knowledge of calculus and linear algebra. A novel feature of the book is that it provides the reader with an understanding and feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. This is achieved through an extensive use of a broad range of economic examples (rather than the numerical/algebraic examples so often found). This is suitable for use in advanced undergraduate and postgraduate courses in economic analysis and should in addition prove a useful reference work for practising economists.

Mathematical Optimization and Economic Theory

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Publisher : SIAM
ISBN 13 : 9780898719215
Total Pages : 527 pages
Book Rating : 4.7/5 (192 download)

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Book Synopsis Mathematical Optimization and Economic Theory by : Michael D. Intriligator

Download or read book Mathematical Optimization and Economic Theory written by Michael D. Intriligator and published by SIAM. This book was released on 1971-01-01 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Optimization and Economic Theory provides a self-contained introduction to and survey of mathematical programming and control techniques and their applications to static and dynamic problems in economics, respectively. It is distinctive in showing the unity of the various approaches to solving problems of constrained optimization that all stem back directly or indirectly to the method of Lagrange multipliers. In the 30 years since its initial publication, there have been many more applications of these mathematical techniques in economics, as well as some advances in the mathematics of programming and control. Nevertheless, the basic techniques remain the same today as when the book was originally published. Thus, it continues to be useful not only to its original audience of advanced undergraduate and graduate students in economics, but also to mathematicians and other researchers interested in learning about the applications of the mathematics of optimization to economics. The book covers in some depth both static programming problems and dynamic control problems of optimization and the techniques of their solution. It also clearly presents many applications of these techniques to economics, and it shows why optimization is important for economics. Audience: mathematicians and other researchers who are interested in learning about the applications of mathematical optimization in economics, as well as students at the advanced undergraduate and beginning graduate level. A basic knowledge of analysis and matrix algebra is recommended. Two appendices summarize the necessary mathematics.

Optimization of Stochastic Systems

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Publisher : Elsevier
ISBN 13 : 1483224058
Total Pages : 373 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Optimization of Stochastic Systems by : Masanao Aoki

Download or read book Optimization of Stochastic Systems written by Masanao Aoki and published by Elsevier. This book was released on 2016-06-03 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization of Stochastic Systems

Mathematics for Stability and Optimazion of Economic Systems

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Publisher :
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.:/5 (989 download)

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Book Synopsis Mathematics for Stability and Optimazion of Economic Systems by : Yasuo Murata

Download or read book Mathematics for Stability and Optimazion of Economic Systems written by Yasuo Murata and published by . This book was released on 1977 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Equations, Discrete Systems and Control

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Publisher : Springer Science & Business Media
ISBN 13 : 9401589151
Total Pages : 373 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Differential Equations, Discrete Systems and Control by : A. Halanay

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.

Mathematical Methods in Economics

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Publisher : Routledge
ISBN 13 : 1351140426
Total Pages : 239 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Mathematical Methods in Economics by : Norman Schofield

Download or read book Mathematical Methods in Economics written by Norman Schofield and published by Routledge. This book was released on 2018-03-05 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1984. Since the logic underlying economic theory can only be grasped fully by a thorough understanding of the mathematics, this book will be invaluable to economists wishing to understand vast areas of important research. It provides a basic introduction to the fundamental mathematical ideas of topology and calculus, and uses these to present modern singularity theory and recent results on the generic existence of isolated price equilibria in exchange economies.

Control Systems and Mathematical Methods in Economics

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Publisher : Springer
ISBN 13 : 3319751697
Total Pages : 443 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Control Systems and Mathematical Methods in Economics by : Gustav Feichtinger

Download or read book Control Systems and Mathematical Methods in Economics written by Gustav Feichtinger and published by Springer. This book was released on 2018-06-08 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the days of Lev Pontryagin and his associates, the discipline of Optimal Control has enjoyed a tremendous upswing – not only in terms of its mathematical foundations, but also with regard to numerous fields of application, which have given rise to highly active research areas. Few scholars, however, have been able to make contributions to both the mathematical developments and the (socio-)economic applications; Vladimir Veliov is one of them. In the course of his scientific career, he has contributed highly influential research on mathematical aspects of Optimal Control Theory, as well as applications in Economics and Operations Research. One of the hallmarks of his research is its impressive breadth. This volume, published on the occasion of his 65th birthday, accurately reflects that diversity. The mathematical aspects covered include stability theory for difference inclusions, metric regularity, generalized duality theory, the Bolza problem from a functional analytic perspective, and fractional calculus. In turn, the book explores various applications of control theory, such as population dynamics, population economics, epidemiology, optimal growth theory, resource and energy economics, environmental management, and climate change. Further topics include optimal liquidity, dynamics of the firm, and wealth inequality.

Mathematical Methods in Economics and Social Choice

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Publisher : Springer Science & Business Media
ISBN 13 : 3642398189
Total Pages : 269 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Mathematical Methods in Economics and Social Choice by : Norman Schofield

Download or read book Mathematical Methods in Economics and Social Choice written by Norman Schofield and published by Springer Science & Business Media. This book was released on 2013-10-11 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.

The Stability of a Macroeconomic System with Quantity Constraints

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Publisher : Springer Science & Business Media
ISBN 13 : 3642954200
Total Pages : 172 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis The Stability of a Macroeconomic System with Quantity Constraints by : P.van den Heuvel

Download or read book The Stability of a Macroeconomic System with Quantity Constraints written by P.van den Heuvel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Economists' Mathematical Manual

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Publisher : Springer Science & Business Media
ISBN 13 : 3662026783
Total Pages : 162 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Economists' Mathematical Manual by : Peter Berck

Download or read book Economists' Mathematical Manual written by Peter Berck and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The practice of economics requires a wide ranging knowledge of formulas from math ematics and mathematical economics. The selection of results from mathematics included in handbooks for chemistry and physics ill suits economists. There is no concise reporting of results in economics. With this volume, we hope to present a formulary, targeted to the needs of students as weIl as the working economist. It grew out of a collection of mathematical formulas for economists originally made by Professor B. Thalberg and used for many years by Scandinavian students and economists. The formulary has 32 chapters, covering calculus and other often used mathemat ics; programming and optimization theory; economic theory of the consumer and the firm; risk, finance, and growth theory; non-cooperative game theory; and elementary statistical theory. The book contains just the formulas and the minimum commcntary needed to re-learn the mathematics involved. We have endeavored to state theorems at the level of generality economists might find useful. By and large, we state results for n-dimensional Euclidean space, even when the results are more generally true. In contrast to thc economic maxim, "everything is twice more continuously differentiable than it needs to be", we have listed the regularity conditions for theorems to be true. We hope that we have achieved a level of explication that is accurate and useful without being pedantic.

The Mathematics of Time

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Publisher : Springer Science & Business Media
ISBN 13 : 1461381010
Total Pages : 154 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis The Mathematics of Time by : Steve Smale

Download or read book The Mathematics of Time written by Steve Smale and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods and Models in Economic Planning, Management and Budgeting

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Publisher : Springer
ISBN 13 : 3662451425
Total Pages : 364 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Mathematical Methods and Models in Economic Planning, Management and Budgeting by : Galimkair Mutanov

Download or read book Mathematical Methods and Models in Economic Planning, Management and Budgeting written by Galimkair Mutanov and published by Springer. This book was released on 2014-11-04 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a system of mathematical models and methods that can be used to analyze real economic and managerial decisions and to improve their effectiveness. Application areas include: management of development and operation budgets, assessment and management of economic systems using an energy entropy approach, equation of exchange rates and forecasting foreign exchange operations, evaluation of innovative projects, monitoring of governmental programs, risk management of investment processes, decisions on the allocation of resources, and identification of competitive industrial clusters. The proposed methods and models were tested on the example of Kazakhstan’s economy, but the generated solutions will be useful for applications at other levels and in other countries. Regarding your book "Mathematical Methods and Models in Economics", I am impressed because now it is time when "econometrics" is becoming more appreciated by economists and by schools that are the hosts or employers of modern economists. ... Your presented results really impressed me. John F. Nash, Jr., Princeton University, Nobel Memorial Prize in Economic Sciences The book is within my scope of interest because of its novelty and practicality. First, there is a need for realistic modeling of complex systems, both natural and artificial that conclude computer and economic systems. There has been an ongoing effort in developing models dealing with complexity and incomplete knowledge. Consequently, it is clear to recognize the contribution of Mutanov to encapsulate economic modeling with emphasis on budgeting and innovation. Secondly, the method proposed by Mutanov has been verified by applying to the case of the Republic of Kazakhstan, with her vibrant emerging economy. Thirdly, Chapter 5 of the book is of particular interest for the computer technology community because it deals with innovation. In summary, the book of Mutanov should become one of the outstanding recognized pragmatic guides for dealing with innovative systems. Andrzej Rucinski, University of New Hampshire This book is unique in its theoretical findings and practical applicability. The book is an illuminating study based on an applied mathematical model which uses methods such as linear programming and input-output analysis. Moreover, this work demonstrates the author’s great insight and academic brilliance in the fields of finance, technological innovations and marketing vis-à-vis the market economy. From both theoretical and practical standpoint, this work is indeed a great achievement. Yeon Cheon Oh, President of Seoul National University

The stability of a macroeconomic system with quantity constraints

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Author :
Publisher : Not Avail
ISBN 13 : 9783540119920
Total Pages : 169 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis The stability of a macroeconomic system with quantity constraints by : Paul van den Heuvel

Download or read book The stability of a macroeconomic system with quantity constraints written by Paul van den Heuvel and published by Not Avail. This book was released on 1983 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mathematics for Economics

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Publisher : Springer
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Applied Mathematics for Economics by : Jati Sengupta

Download or read book Applied Mathematics for Economics written by Jati Sengupta and published by Springer. This book was released on 1987-08-31 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: