Mathematics For Stability And Optimazion Of Economic Systems

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Mathematics for Stability and Optimization of Economic Systems

Author : Yasuo Murata
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.

Optimization and Stability Theory for Economic Analysis

Author : Brian Beavis
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.

Economic Dynamics

Author : Giancarlo Gandolfo
Publisher : Springer Science & Business Media
ISBN 13 : 9783540627609
Total Pages : 712 pages
Book Rating : 4.6/5 (276 download)

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Book Synopsis Economic Dynamics by : Giancarlo Gandolfo

Download or read book Economic Dynamics written by Giancarlo Gandolfo and published by Springer Science & Business Media. This book was released on 1997 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treating the mathematical methods used in the economic dynamics, this book shows how they are utilised to build and analyse dynamical models. Accordingly, the focus is on the methods, and every new mathematical technique introduced is followed by its application to select economic models. The mathematical methods coveredc range from elementary linear difference and differential equations and simultaneous systems to the qualitative analysis of non-linear dynamical systems. Stability considerations are stressed throughout, including many advanced topics. Bifurcation and chaos theory are also dealt with. The reader is guided through a step-by-step analysis of each topic, be it a mathematical method or an economic model. The Study Edition also provides the reader with solutions to the numerous exercises.

Introduction to Mathematical Economics

Author : M.C. Kemp
Publisher : Springer Science & Business Media
ISBN 13 : 146126278X
Total Pages : 255 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to Mathematical Economics by : M.C. Kemp

Download or read book Introduction to Mathematical Economics written by M.C. Kemp and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our objectives may be briefly stated. They are two. First, we have sought to provide a compact and digestible exposition of some sub-branches of mathematics which are of interest to economists but which are underplayed in mathematical texts and dispersed in the journal literature. Second, we have sought to demonstrate the usefulness of the mathematics by providing a systematic account of modern neoclassical economics, that is, of those parts of economics from which jointness in production has been excluded. The book is introductory not in the sense that it can be read by any high-school graduate but in the sense that it provides some of the mathematics needed to appreciate modern general-equilibrium economic theory. It is aimed primarily at first-year graduate students and final-year honors students in economics who have studied mathematics at the university level for two years and who, in particular, have mastered a full-year course in analysis and calculus. The book is the outcome of a long correspondence punctuated by periodic visits by Kimura to the University of New South Wales. Without those visits we would never have finished. They were made possible by generous grants from the Leverhulme Foundation, Nagoya City University, and the University of New South Wales. Equally indispensible were the expert advice and generous encouragement of our friends Martin Beckmann, Takashi Negishi, Ryuzo Sato, and Yasuo Uekawa.

Mathematical Modelling

Author : Murray S. Klamkin
Publisher : SIAM
ISBN 13 : 0898712041
Total Pages : 346 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Modelling by : Murray S. Klamkin

Download or read book Mathematical Modelling written by Murray S. Klamkin and published by SIAM. This book was released on 1987-01-01 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Miscellaneous.

Mathematics for Economics

Author : Michael Hoy
Publisher : MIT Press
ISBN 13 : 9780262582018
Total Pages : 164 pages
Book Rating : 4.5/5 (82 download)

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Book Synopsis Mathematics for Economics by : Michael Hoy

Download or read book Mathematics for Economics written by Michael Hoy and published by MIT Press. This book was released on 2001 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a presentation of the mathematics required to tackle problems in economic analysis. After a review of the fundamentals of sets, numbers, and functions, it covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics.

Dynamic Optimization and Mathematical Economics

Author : Pan-Tai Liu
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.

Multinomial Probit

Author : Carlos Daganzo
Publisher : Elsevier
ISBN 13 : 1483299341
Total Pages : 239 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Multinomial Probit by : Carlos Daganzo

Download or read book Multinomial Probit written by Carlos Daganzo and published by Elsevier. This book was released on 2014-06-28 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multinomial Probit

Monetary Macrodynamics

Author : Toichiro Asada
Publisher : Routledge
ISBN 13 : 1135272328
Total Pages : 449 pages
Book Rating : 4.1/5 (352 download)

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Book Synopsis Monetary Macrodynamics by : Toichiro Asada

Download or read book Monetary Macrodynamics written by Toichiro Asada and published by Routledge. This book was released on 2012-11-12 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the interaction of effective goods demand with the wage-price spiral, and the impact of monetary policy on financial and the real markets from a Keynesian perspective. Endogenous business fluctuations are studied in the context of long-run distributive cycles in an advanced, rigorously formulated and quantitative setup. The material is developed by way of self-contained chapters on three levels of generality, an advanced textbook level, a research-oriented applied level and on a third level that shows how the interaction of real with financial markets has to be modelled from a truly integrative Keynesian perspective. Monetary Macrodynamics shows that the balanced growth path of a capitalist economy is unlikely to be attracting and that the cumulative forces that surround it are controlled in the large by changes in the behavioural factors that drive the wage-price spiral and the financial markets. Such behavioural changes can in fact be observed in actual economies in the interaction of demand-driven business fluctuations with supply-driven wage and price dynamics as they originate from the conflict over income distribution between capital and labour. The book is a detailed critique of US mainstream macroeconomics and uses rigorous dynamic macro-models of a descriptive and applicable nature. It will be of particular relevance to postgraduate students and researchers interested in disequilibrium processes, real wage feedback channels, financial markets and portfolio choice, financial accelerator mechanisms and monetary policy.

Optimal Control Methods for Linear Discrete-Time Economic Systems

Author : Y. Murata
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.

Mathematics and War

Author : Bernhelm Booß-Bavnbek
Publisher : Birkhäuser
ISBN 13 : 3034880936
Total Pages : 418 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Mathematics and War by : Bernhelm Booß-Bavnbek

Download or read book Mathematics and War written by Bernhelm Booß-Bavnbek and published by Birkhäuser. This book was released on 2012-12-06 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has for centuries been stimulated, financed and credited by military purposes. Some mathematical thoughts and mathematical technology have also been vital in war. During World War II mathematical work by the Anti-Hitler coalition was part of an aspiration to serve humanity and not help destroy it. At present, it is not an easy task to view the bellicose potentials of mathematics in a proper perspective. The book presents historical evidence and recent changes in the interaction between mathematics and the military. It discusses the new mathematically enhanced development of military technology which seems to have changed the very character of modern warfare.

Studies in Macroeconomic Theory

Author : Edmund S. Phelps
Publisher : Academic Press
ISBN 13 : 1483271188
Total Pages : 433 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Studies in Macroeconomic Theory by : Edmund S. Phelps

Download or read book Studies in Macroeconomic Theory written by Edmund S. Phelps and published by Academic Press. This book was released on 2014-05-10 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Macroeconomic Theory, Volume 1: Employment and Inflation is a collection of scholarly papers that accounts the development of a microeconomic theory of wage and price decisions and commitments. The book presents some features of the modern inflationary process and makes sense of some still accepted elements in the postclassical macroeconomics of Keynes and Phillips. The papers in this volume are grouped into seven sections. Part I describes disequilibrium models of employment. Part II gives closer scrutiny to the idea of the "natural" rate of unemployment. Part III studies the welfare economics of inflation in an equilibrium context. The fourth part deals with inflation planning. The papers in Part V discuss hypotheses about the causes of the rise in the rate of inflation in two historical episodes: the American inflation between 1955 - 1957 and 1972 - 1974. Part VI addresses some questions in the theory of economic stabilization by monetary and fiscal policy. The final section of this volume attempts to apply to matters of stochastic social choice, stabilization policy being one instance of such a choice, the conception of justice advanced by Rawls. The compendium will be of value to economists and economic policy makers.

Noncooperative Approaches to the Theory of Perfect Competition

Author : Andreu Mas-Colell
Publisher : Academic Press
ISBN 13 : 1483271609
Total Pages : 281 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Noncooperative Approaches to the Theory of Perfect Competition by : Andreu Mas-Colell

Download or read book Noncooperative Approaches to the Theory of Perfect Competition written by Andreu Mas-Colell and published by Academic Press. This book was released on 2014-05-10 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic Theory, Econometrics, and Mathematical Economics: A Series of Monographs and Textbooks: Noncooperative Approaches to the Theory of Perfect Competition focuses on the application of noncooperative approaches to the theory of perfect competition, including Cournot game, no-surplus condition, and Nash equilibria. The selection first elaborates on collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives and noncooperative price taking in large dynamic markets. Discussions focus on noncooperative equilibria which support the monopoly allocation, alternative definition of perfect epsilon-equilibrium, one-period Cournot game, fixed-demand case, and replication case. The book takes a look at noncooperative price taking in large dynamic markets, no-surplus condition as a characterization of perfectly competitive equilibrium, perfect competition, profit criterion, and the organization of economic activity. Topics include profits to individually improving welfare, structure of firms, competitive allocations as no surplus allocations, profits as rents, Walrasian and perfectly competitive equilibrium, and no-surplus and core equivalence as alternative characterizations of perfectly competitive equilibrium. The manuscript ponders on Nash equilibria of market games and efficiency properties of strategic market games, as well as commodities, agents, assignments, strategic markets games, proper and full Cournot-Nash equilibria, and finiteness and inefficiency. The selection is a valuable source of data for researchers interested in noncooperative approaches to the theory of perfect competition.

Uncertainty in Economics

Author : Peter Diamond
Publisher : Academic Press
ISBN 13 : 1483264505
Total Pages : 569 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Uncertainty in Economics by : Peter Diamond

Download or read book Uncertainty in Economics written by Peter Diamond and published by Academic Press. This book was released on 2014-05-10 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainty in Economics: Readings and Exercises provides information pertinent to the fundamental aspects of the economics of uncertainty. This book discusses ho uncertainty affects both individual behavior and standard equilibrium theory. Organized into three parts encompassing 30 chapters, this book begins with an overview of the relevance of expected utility maximization for positive and normative theories of individual choice. This text then examines the biases in judgments, which reveal some heuristics of thinking under uncertainty. Other chapters consider the effect of restricting trade in contingent commodities to those trades that can be affected through the stock and bond markets. This book discusses as well the individual problem of sequential choice and equilibria, which are built around the notion of sequential choice. The final chapter deals with an entirely different aspect of the economics of information and reverts to the assumption that markets are perfect and costless. This book is a valuable resource for economists and students.

Game Theory and Applications

Author : Tatsuro Ichiishi
Publisher : Academic Press
ISBN 13 : 1483295052
Total Pages : 449 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Game Theory and Applications by : Tatsuro Ichiishi

Download or read book Game Theory and Applications written by Tatsuro Ichiishi and published by Academic Press. This book was released on 2014-06-28 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory and Applications outlines game theory and proves its validity by examining it alongside the neoclassical paradigm. This book contends that the neoclassical theory is the exceptional case, and that game theory may indeed be the rule. The papers and abstracts collected here explore its recent development and suggest new research directions. - Explains many of the recent central developments in game theory - Highlights new research directions in economic theory which surpass the neoclassical paradigm - Includes game-theoretical analyses in economics, political science, and biology - Written by leading game theorists, economists, political scientists, and biologists

Economic Dynamics: Methods and Models

Author : G Gandolfo
Publisher : Elsevier
ISBN 13 : 0444601228
Total Pages : 584 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Economic Dynamics: Methods and Models by : G Gandolfo

Download or read book Economic Dynamics: Methods and Models written by G Gandolfo and published by Elsevier. This book was released on 1971-01-01 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic Dynamics: Methods and Models aims to give a simple but comprehensive treatment of mathematical methods used in economic dynamics and show how they are utilized to build and to analyze dynamic models. The text also focuses on methods, and every mathematical technique introduced is followed by its application to selected models. The book is divided into three different parts. Part I: Different Equations discusses general principles; first-order, second-order, higher-order equations; simultaneous systems; and their economic applications. Part II: Differential Equations also discusses the same areas as those in Part I, but instead features differential equations, as what the section name suggests. Part III: More Advanced Material covers comparative statistics and the comparative principle; stability of equilibrium and Liapunov's second method; and linear mixed differential and difference equations, as well as its other related topics. The text is recommended for mathematicians and economists who have an idea on advanced mathematics and would like to know more about its applications in economics.

Asymptotic Theory for Econometricians

Author : Halbert White
Publisher : Academic Press
ISBN 13 : 1483294420
Total Pages : 241 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Asymptotic Theory for Econometricians by : Halbert White

Download or read book Asymptotic Theory for Econometricians written by Halbert White and published by Academic Press. This book was released on 2014-06-28 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide a somewhat more comprehensive and unified treatment of large sample theory than has been available previously and to relate the fundamental tools of asymptotic theory directly to many of the estimators of interest to econometricians. In addition, because economic data are generated in a variety of different contexts (time series, cross sections, time series--cross sections), we pay particular attention to the similarities and differences in the techniques appropriate to each of these contexts.