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Author : Brian Beavis
Publisher :
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.:/5 (64 download)
Download or read book Optimization and Stability Theory for Economic Analysis written by Brian Beavis and published by . This book was released on 1990 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian Beavis
Publisher : Cambridge University Press
ISBN 13 : 9780521333078
Total Pages : 428 pages
Book Rating : 4.3/5 (33 download)
Download or read book Optimisation and Stability Theory for Economic Analysis written by Brian Beavis and published by Cambridge University Press. This book was released on 1990-02-22 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Brian Beavis
Publisher : Cambridge University Press
ISBN 13 : 9780521336055
Total Pages : 440 pages
Book Rating : 4.3/5 (36 download)
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.
Author : Gordon Mills
Publisher : Routledge
ISBN 13 : 1317833627
Total Pages : 216 pages
Book Rating : 4.3/5 (178 download)
Download or read book Optimisation in Economic Analysis written by Gordon Mills and published by Routledge. This book was released on 2014-04-04 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Michael R. Caputo
Publisher : Cambridge University Press
ISBN 13 : 1107717639
Total Pages : 632 pages
Book Rating : 4.1/5 (77 download)
Download or read book Foundations of Dynamic Economic Analysis written by Michael R. Caputo and published by Cambridge University Press. This book was released on 2005-01-10 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Engelbert J. Dockner
Publisher : Springer Science & Business Media
ISBN 13 : 3642576842
Total Pages : 434 pages
Book Rating : 4.6/5 (425 download)
Download or read book Optimization, Dynamics, and Economic Analysis written by Engelbert J. Dockner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Yasuo Murata
Publisher : Academic Press
ISBN 13 : 1483271293
Total Pages : 439 pages
Book Rating : 4.4/5 (832 download)
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.
Author : Pan-Tai Liu
Publisher : Springer Science & Business Media
ISBN 13 : 1468435728
Total Pages : 273 pages
Book Rating : 4.4/5 (684 download)
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.
Author : Jatikumar Sengupta
Publisher :
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.3/5 (91 download)
Download or read book Economic Analysis and Operations Research written by Jatikumar Sengupta and published by . This book was released on 1969 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Giorgio P. Szegö
Publisher : Academic Press
ISBN 13 : 1483273466
Total Pages : 336 pages
Book Rating : 4.4/5 (832 download)
Download or read book New Quantitative Techniques for Economic Analysis written by Giorgio P. Szegö and published by Academic Press. This book was released on 2014-05-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : E. Roy Weintraub
Publisher : Cambridge University Press
ISBN 13 : 9780521393461
Total Pages : 198 pages
Book Rating : 4.3/5 (934 download)
Download or read book Stabilizing Dynamics written by E. Roy Weintraub and published by Cambridge University Press. This book was released on 1991-04-26 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Betrachtungen eines Laien ueber die Confessionen mit spezieller Ruecksicht auf die augsburgische Confession written by and published by . This book was released on 1873 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael D. Intriligator
Publisher : SIAM
ISBN 13 : 0898715113
Total Pages : 515 pages
Book Rating : 4.8/5 (987 download)
Download or read book Mathematical Optimization and Economic Theory written by Michael D. Intriligator and published by SIAM. This book was released on 2002-01-01 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.
Author : Daniel Léonard
Publisher : Cambridge University Press
ISBN 13 : 9780521337465
Total Pages : 372 pages
Book Rating : 4.3/5 (374 download)
Download or read book Optimal Control Theory and Static Optimization in Economics written by Daniel Léonard and published by Cambridge University Press. This book was released on 1992-01-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Giorgio Giorgi
Publisher : Springer Nature
ISBN 13 : 3031303245
Total Pages : 443 pages
Book Rating : 4.0/5 (313 download)
Download or read book Basic Mathematical Programming Theory written by Giorgio Giorgi and published by Springer Nature. This book was released on 2023-07-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of (static) optimization, also called mathematical programming, is one of the most important and widespread branches of modern mathematics, serving as a cornerstone of such scientific subjects as economic analysis, operations research, management sciences, engineering, chemistry, physics, statistics, computer science, biology, and social sciences. This book presents a unified, progressive treatment of the basic mathematical tools of mathematical programming theory. The authors expose said tools, along with results concerning the most common mathematical programming problems formulated in a finite-dimensional setting, forming the basis for further study of the basic questions on the various algorithmic methods and the most important particular applications of mathematical programming problems. This book assumes no previous experience in optimization theory, and the treatment of the various topics is largely self-contained. Prerequisites are the basic tools of differential calculus for functions of several variables, the basic notions of topology and of linear algebra, and the basic mathematical notions and theoretical background used in analyzing optimization problems. The book is aimed at both undergraduate and postgraduate students interested in mathematical programming problems but also those professionals who use optimization methods and wish to learn the more theoretical aspects of these questions.
Author : Mukul Majumdar
Publisher : Springer Science & Business Media
ISBN 13 : 3662040603
Total Pages : 464 pages
Book Rating : 4.6/5 (62 download)
Download or read book Optimization and Chaos written by Mukul Majumdar and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays brings together some articles on dynamic optimization models that exhibit chaotic behavior. Chapters 3, 4, 5, 6, 7, and 9 appeared in a Symposium on Chaotic Dynamical Systems in Economic Theory (Volume 4, Number 5, 1994). Also, Chapters 10,11, and 12 appeared in the Journal of Economic The ory. We would like to thank the authors, and Academic Press for permission to reprint. We are grateful to Professor C.D. Aliprantis for suggesting the idea of a book structured around the Economic Theory Symposium, and without the support and patience of Dr. Mueller this project could not have been completed. We would like to thank Ms. Amy Gowan who cheerfully per formed the arduous task of typing the manuscript. Thanks are also due to Xiao Qing Yu, Tridip Ray and Malabika Majumdar for their help at various stages in the preparation of the manuscript. For a course on dynamic optimization addressed to students with a good background in economic theory and real analysis, one can assign Chapter 2 as a partial introduction to the basic tech niques. Chapters 3 and 4 can be assigned to provide examples of simple optmization models generating complicated behavior.
Author : Thomas A. Weber
Publisher : MIT Press
ISBN 13 : 0262015730
Total Pages : 387 pages
Book Rating : 4.2/5 (62 download)
Download or read book Optimal Control Theory with Applications in Economics written by Thomas A. Weber and published by MIT Press. This book was released on 2011-09-30 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
