Optimisation And Stability Theory For Economic Analysis
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Optimization And Stability Theory For Economic Analysis
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Author : Brian Beavis
language : en
Publisher: Cambridge University Press
Release Date : 1990
Optimization And Stability Theory For Economic Analysis written by Brian Beavis 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 1990 with Economics, Mathematical categories.
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.
Optimisation And Stability Theory For Economic Analysis
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Author : Brian Beavis
language : en
Publisher: Cambridge University Press
Release Date : 1990-02-22
Optimisation And Stability Theory For Economic Analysis written by Brian Beavis 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 1990-02-22 with Business & Economics categories.
This text presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability, both of which are central to economic analysis. Through extensive use of economic examples, the authors provide the economist with a feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. Although the text deals with fairly advanced material, the mathematical prerequisites are minimized 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.
Optimisation In Economic Analysis
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Author : Gordon Mills
language : en
Publisher: Routledge
Release Date : 2014-04-04
Optimisation In Economic Analysis written by Gordon Mills and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-04 with Business & Economics categories.
One of the fundamental economic problems is one of making the best use of limited resources. As a result, mathematical optimisation methods play a crucial role in economic theory. Covering the use of such methods in applied and policy contexts, this book deals not only with the main techniques (linear programming, nonlinear optimisation and dynamic programming), but also emphasizes the art of model-building and discusses fields such as optimisation over time.
Optimization Dynamics And Economic Analysis
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Author : Engelbert J. Dockner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Optimization Dynamics And Economic Analysis written by Engelbert J. Dockner 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.
This book includes a collection of articles that present recent developments in the fields of optimization and dynamic game theory, economic dynamics, dynamic theory of the firm, and population dynamics and non standard applications of optimal control theory. The authors of the articles are well respected authorities in their fields and are known for their high quality research in the fields of optimization and economic dynamics.
Foundations Of Dynamic Economic Analysis
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Author : Michael R. Caputo
language : en
Publisher: Cambridge University Press
Release Date : 2005-01-10
Foundations Of Dynamic Economic Analysis written by Michael R. Caputo 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 2005-01-10 with Business & Economics categories.
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.
Economic Analysis And Operations Research
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Author : Jatikumar Sengupta
language : en
Publisher:
Release Date : 1969
Economic Analysis And Operations Research written by Jatikumar Sengupta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Business & Economics categories.
Textbook on mathematics methodology in operational research and scientific management - includes econometrics and simulation models, and covers input output analysis, decision making, educational planning, investment planning, economic policy and decentralization, etc. References.
Dynamic Optimization And Mathematical Economics
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Author : Pan-Tai Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Dynamic Optimization And Mathematical Economics written by Pan-Tai Liu 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 2013-03-09 with Science categories.
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.
Mathematics For Stability And Optimization Of Economic Systems
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Author : Yasuo Murata
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Mathematics For Stability And Optimization Of Economic Systems written by Yasuo Murata and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Business & Economics categories.
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.
New Quantitative Techniques For Economic Analysis
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Author : Giorgio P. Szegö
language : en
Publisher: Academic Press
Release Date : 2014-05-10
New Quantitative Techniques For Economic Analysis written by Giorgio P. Szegö and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Business & Economics categories.
Economic Theory, Econometrics, and Mathematical Economics: New Quantitative Techniques for Economic Analysis provides a critical appraisal of the results, the limits, and the developments of well-established quantitative techniques. This book presents a detailed analysis of the quantitative techniques for economic analysis. Organized into four parts encompassing 16 chapters, this book begins with an overview of the general questions concerning models and model making. This text then provides the main results and various interesting economic applications of some quantitative techniques that have not been widely used in the economic field. Other chapters consider the principle of optimality in dynamic programing wherein the infinite sequence of consumption-saving decisions can be reduced to one decision. This book discusses as well the methods for online control and management of large-scale systems. The final chapter deals with special problems. This book is a valuable resource for economists, social scientists, epistemologists, economic historians, and research workers.
Stabilizing Dynamics
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Author : E. Roy Weintraub
language : en
Publisher: Cambridge University Press
Release Date : 1991-04-26
Stabilizing Dynamics written by E. Roy Weintraub 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 1991-04-26 with Business & Economics categories.
This work is concerned with the ways in which the talk of the 1930s evolved into technical analysis of some mathematical structures. It describes the context for the history of that change and shows how the history of modern economics can be seen as a confluence of several disparate traditions.