Download or read book The Hamiltonian Approach to Dynamic Economics written by David Cass and published by Academic Press. This book was released on 2014-05-10 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hamiltonian Approach to Dynamic Economics focuses on the application of the Hamiltonian approach to dynamic economics and attempts to provide some unification of the theory of heterogeneous capital. Emphasis is placed on the stability of long-run steady-state equilibrium in models of heterogeneous capital accumulation. Generalizations of the Samuelson-Scheinkman approach are also given. Moreover, conditions are sought on the geometry of the Hamiltonian function (that is, on static technology) that suffice to preserve under (not necessarily small) perturbation the basic properties of the Hamiltonian dynamical system. Comprised of eight essays, this book begins with an introduction to Hamiltonian dynamics in economics, followed by a discussion on optimal steady states of n-sector growth models when utility is discounted. Optimal growth and decentralized or descriptive growth models in both continuous and discrete time are treated as applications of Hamiltonian dynamics. Theproblem of optimal growth with zero discounting is considered, with emphasis on a steepness condition on the Hamiltonian function. The general problem of decentralized growth with instantaneously adjusted expectations about price changes is also analyzed, along with the global asymptotic stability of optimal control systems with applications to the theory of economic growth. This monograph will be of value to mathematicians and economists.
Download or read book The Hamiltonian Approach to Dynamic Economics written by David Cass and published by . This book was released on 1976 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Approaches to Problems in Resource Management and Epidemiology written by Carlos Castillo-Chavez and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Increasingly, mathematical methods are being used to advantage in addressing the problems facing humanity in managing its environment. Problems in resource management and epidemiology especially have demonstrated the utility of quantitative modeling. To explore these approaches, the Center of Applied Mathematics at Cornell University organized a conference in Fall, 1987, with the objective of surveying and assessing the state of the art. This volume records the proceedings of that conference. Underlying virtually all of these studies are models of population growth, from individual cells to large vertebrates. Cell population growth presents the simplest of systems for study, and is of fundamental importance in its own right for a variety of medical and environmental applications. In Part I of this volume, Michael Shuler describes computer models of individual cells and cell populations, and Frank Hoppensteadt discusses the synchronization of bacterial culture growth. Together, these provide a valuable introduction to mathematical cell biology.
Download or read book Optimal Control Stabilization and Nonsmooth Analysis written by Marcio S. de Queiroz and published by Springer Science & Business Media. This book was released on 2004-04-20 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book contains selected papers presented at the Louisiana Conference on Mathematical Control Theory (MCT'03), which brought together over 35 prominent world experts in mathematical control theory and its applications. The book forms a well-integrated exploration of those areas of mathematical control theory in which nonsmooth analysis is having a major impact. These include necessary and sufficient conditions in optimal control, Lyapunov characterizations of stability, input-to-state stability, the construction of feedback mechanisms, viscosity solutions of Hamilton-Jacobi equations, invariance, approximation theory, impulsive systems, computational issues for nonlinear systems, and other topics of interest to mathematicians and control engineers. The book has a strong interdisciplinary component and was designed to facilitate the interaction between leading mathematical experts in nonsmooth analysis and engineers who are increasingly using nonsmooth analytic tools.
Download or read book Sraffa and Modern Economics Volume I written by Roberto Ciccone and published by Routledge. This book was released on 2013-06-17 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzing Sraffa, one of the key figures in the history of economics, this book explores his legacy and the relevance of his thought for modern economics. Written by an array of internationally respected contributors, including Schefold, Aspromourgos, Nell and Kurz it is an invaluable tool for all those studying the history of economic thought.
Download or read book Optimal Control Theory written by Suresh P. Sethi and published by Springer Nature. This book was released on 2022-01-03 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new 4th edition offers an introduction to optimal control theory and its diverse applications in management science and economics. It introduces students to the concept of the maximum principle in continuous (as well as discrete) time by combining dynamic programming and Kuhn-Tucker theory. While some mathematical background is needed, the emphasis of the book is not on mathematical rigor, but on modeling realistic situations encountered in business and economics. It applies optimal control theory to the functional areas of management including finance, production and marketing, as well as the economics of growth and of natural resources. In addition, it features material on stochastic Nash and Stackelberg differential games and an adverse selection model in the principal-agent framework. Exercises are included in each chapter, while the answers to selected exercises help deepen readers’ understanding of the material covered. Also included are appendices of supplementary material on the solution of differential equations, the calculus of variations and its ties to the maximum principle, and special topics including the Kalman filter, certainty equivalence, singular control, a global saddle point theorem, Sethi-Skiba points, and distributed parameter systems. Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as the foundation for the book, in which the author applies it to business management problems developed from his own research and classroom instruction. The new edition has been refined and updated, making it a valuable resource for graduate courses on applied optimal control theory, but also for financial and industrial engineers, economists, and operational researchers interested in applying dynamic optimization in their fields.
Download or read book Catalog of Copyright Entries Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1978 with total page 1686 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Economic Thought written by Sidney Weintraub and published by University of Pennsylvania Press. This book was released on 2016-11-11 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a volume in the Penn Press Anniversary Collection. To mark its 125th anniversary in 2015, the University of Pennsylvania Press rereleased more than 1,100 titles from Penn Press's distinguished backlist from 1899-1999 that had fallen out of print. Spanning an entire century, the Anniversary Collection offers peer-reviewed scholarship in a wide range of subject areas.
Download or read book Advanced Macroeconomics written by Patrick Minford and published by Edward Elgar Publishing. This book was released on 2019 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a newly revised second edition of a key macroeconomic textbook. After explaining the historical development of the subject, they show how rational expectations are handled in macro models. The importance of structural micro-founded models is explained, with key examples of such structural models examined in detail and with extensions to the open economy; policy implications are highlighted throughout. Methods for testing these models against macro data behaviour are explained, detailing the latest evidence on these models' success.
Download or read book Game Theory for Economic Analysis written by Tatsuro Ichiishi and published by Elsevier. This book was released on 2014-06-28 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory for Economic Analysis
Download or read book Keynes Sraffa and the Criticism of Neoclassical Theory written by Neri Salvadori and published by Taylor & Francis. This book was released on 2012-05-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heinz Kurz is recognised internationally as a leading economic theorist and a foremost historian of economic thought. This book pays tribute to his outstanding contributions on the occasion of his 65th birthday by bringing together a unique collection of new essays by distinguished economists from around the world. Keynes, Sraffa, and the Criticism of Neoclassical Theory comprises twenty-three essays, covering themes in Keynesian economic theory, in the development of the modern classical approach to economic theory, linear production models, and the critique of neoclassical theory. The essays in this book will be an invaluable source of inspiration for economists interested in economic theory and in the evolution of economic thought. They will also be of interest to postgraduate and research students specialising in economic theory and in the history of economic thought.
Download or read book Analysis of Economic Time Series written by Marc Nerlove and published by Academic Press. This book was released on 2014-05-10 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of Economic Time Series: A Synthesis integrates several topics in economic time-series analysis, including the formulation and estimation of distributed-lag models of dynamic economic behavior; the application of spectral analysis in the study of the behavior of economic time series; and unobserved-components models for economic time series and the closely related problem of seasonal adjustment. Comprised of 14 chapters, this volume begins with a historical background on the use of unobserved components in the analysis of economic time series, followed by an Introduction to the theory of stationary time series. Subsequent chapters focus on the spectral representation and its estimation; formulation of distributed-lag models; elements of the theory of prediction and extraction; and formulation of unobserved-components models and canonical forms. Seasonal adjustment techniques and multivariate mixed moving-average autoregressive time-series models are also considered. Finally, a time-series model of the U.S. cattle industry is presented. This monograph will be of value to mathematicians, economists, and those interested in economic theory, econometrics, and mathematical economics.
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.
Download or read book Theory of Technical Change and Economic Invariance written by Ryuzo Sato and published by Academic Press. This book was released on 2014-05-10 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Technical Change and Economic Invariance: Application of Lie Groups presents the economic invariance problems observable behavior under general transformations such as taste change or technical change. This book covers a variety of topics in economic theory, ranging from the analysis of production functions to the general recoverability problem of optimal dynamic behavior. Organized into nine chapters, this book begins with an overview of the theory of observable behavior by analyzing the invariant relationships among economic variables. This text then examines the Lie group theory which provides one of the most efficient methods of studying invariance properties. Other chapters consider the analysis of exogenous technical change, a process partly due to dynamic market forces of supply and demand. This book discusses as well the topics closely related to parametric changes under Lie groups and related transformations. The final chapter deals with mathematical foundations of the theory of observable market behavior. This book is a valuable resource for economists.
Download or read book Dynamical Systems written by Pierre N.V. Tu and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic tools of analysis and modelling are increasingly used in Economics and Biology and have become more and more sophisticated in recent years, to the point where the general students without training in Dynamic Systems (DS) would be at a loss. No doubt they are referred to the original sources of mathematical theorems used in the various proofs, but the level of mathematics is generally beyond them. Students are thus left with the burden of somehow understanding advanced mathematics by themselves, with· very little help. It is to these general students, equipped only with a modest background of Calculus and Matrix Algebra that this book is dedicated. It aims at providing them with a fairly comprehensive box of dynamical tools they are expected to have at their disposal. The first three Chapters start with the most elementary notions of first and second order Differential and Difference Equations. For these, no matrix theory and hardly any calculus are needed. Then, before embarking on linear and nonlinear DS, a review of some Linear Algebra in Chapter 4 provides the bulk of matrix theory required for the study of later Chapters. Systems of Linear Differ ential Equations (Ch. 5) and Difference Equations (Ch. 6) then follow to provide students with a good background in linear DS, necessary for the subsequent study of nonlinear systems. Linear Algebra, reviewed in Ch. 4, is used freely in these and subsequent chapters to save space and time.
Download or read book Economics and Human Welfare written by Michael J. Boskin and published by Academic Press. This book was released on 2014-05-10 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic Theory, Econometrics, and Mathematical Economics: Economics and Human Welfare: Essays in Honor of Tibor Scitovsky focuses on the principles, influence, and contributions of Tibor Scitovsky on economics. The selection first elaborates on welfare economics and microeconomic theory, property rights doctrine and demand revelation under incomplete information, and experiments in the pricing of theater tickets. Discussions focus on the effect on audience composition, volume, and revenues, failure of bargaining under privacy, growing disenchantment with economic growth, and bargaining as a game of incomplete information. The text then takes a look at economics and the transformation of the idea of progress and changes in the size distribution of income. The text ponders on welfare criteria, distribution, and cost- benefit analysis; position of ethics in the theory of production; and rationing and price as methods of restricting demand for specific products. Topics include excise taxation with revenue distributed like rations; private and social returns to morality; effect of changes in the cost of organization and communication; and logical and historical foundation of the theory of the welfare state. The selection is highly recommended for economists and researchers interested in pursuing studies on the relationship of economics and human welfare.
Download or read book Luigi Amoroso written by Mario Pomini and published by Springer Nature. This book was released on 2022-10-03 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines the rich and complex path of Luigi Amoroso, the main exponent of the Paretian School in Italy and probably the most important Italian mathematical economist during the interwar period. The author presents, in a systematic form, the evolution of Amoros's thinking and his main achievements. Despite his relevance, many aspects of Amoroso's thought are little known or misunderstood. This volume delves further to explore the Paretian tradition in which Amoroso enlisted, the conservative anti-democratic ideology that prompted his adhesion to fascism, his contribution to defining the main features of economic theory as formal science, and his various contributions to specific fields such as microeconomic theory, equilibrium dynamics, business cycles and non-competitive markets. It will be relevant to students and researchers interested in the history of economic thought.
