The Hamiltonian Approach to Dynamic Economics

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Publisher : Academic Press
ISBN 13 : 1483266850
Total Pages : 212 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Hamiltonian Approach to Dynamic Economics by : David Cass

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.

Economic Dynamics, second edition

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Publisher : MIT Press
ISBN 13 : 0262544776
Total Pages : 395 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Economic Dynamics, second edition by : John Stachurski

Download or read book Economic Dynamics, second edition written by John Stachurski and published by MIT Press. This book was released on 2022-08-16 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of a rigorous and example-driven introduction to topics in economic dynamics that emphasizes techniques for modeling dynamic systems. This text provides an introduction to the modern theory of economic dynamics, with emphasis on mathematical and computational techniques for modeling dynamic systems. Written to be both rigorous and engaging, the book shows how sound understanding of the underlying theory leads to effective algorithms for solving real-world problems. The material makes extensive use of programming examples to illustrate ideas, bringing to life the abstract concepts in the text. Key topics include algorithms and scientific computing, simulation, Markov models, and dynamic programming. Part I introduces fundamentals and part II covers more advanced material. This second edition has been thoroughly updated, drawing on recent research in the field. New for the second edition: “Programming-language agnostic” presentation using pseudocode. New chapter 1 covering conceptual issues concerning Markov chains such as ergodicity and stability. New focus in chapter 2 on algorithms and techniques for program design and high-performance computing. New focus on household problems rather than optimal growth in material on dynamic programming. Solutions to many exercises, code, and other resources available on a supplementary website.

Dynamic Economics

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Publisher : MIT Press
ISBN 13 : 0262547880
Total Pages : 297 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Dynamic Economics by : Jerome Adda

Download or read book Dynamic Economics written by Jerome Adda and published by MIT Press. This book was released on 2023-05-09 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated approach to the empirical application of dynamic optimization programming models, for students and researchers. This book is an effective, concise text for students and researchers that combines the tools of dynamic programming with numerical techniques and simulation-based econometric methods. Doing so, it bridges the traditional gap between theoretical and empirical research and offers an integrated framework for studying applied problems in macroeconomics and microeconomics. In part I the authors first review the formal theory of dynamic optimization; they then present the numerical tools and econometric techniques necessary to evaluate the theoretical models. In language accessible to a reader with a limited background in econometrics, they explain most of the methods used in applied dynamic research today, from the estimation of probability in a coin flip to a complicated nonlinear stochastic structural model. These econometric techniques provide the final link between the dynamic programming problem and data. Part II is devoted to the application of dynamic programming to specific areas of applied economics, including the study of business cycles, consumption, and investment behavior. In each instance the authors present the specific optimization problem as a dynamic programming problem, characterize the optimal policy functions, estimate the parameters, and use models for policy evaluation. The original contribution of Dynamic Economics: Quantitative Methods and Applications lies in the integrated approach to the empirical application of dynamic optimization programming models. This integration shows that empirical applications actually complement the underlying theory of optimization, while dynamic programming problems provide needed structure for estimation and policy evaluation.

Dynamic Economic Theory

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Author :
Publisher : Springer
ISBN 13 : 9783642645426
Total Pages : 510 pages
Book Rating : 4.6/5 (454 download)

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Book Synopsis Dynamic Economic Theory by : Jean-Pierre Aubin

Download or read book Dynamic Economic Theory written by Jean-Pierre Aubin and published by Springer. This book was released on 2013-11-13 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide economists with mathematical tools necessary to handle the concepts of evolution under uncertainty and adaption arising in economics, pursuing the Arrow-Debreu-Hahn legacy. It applies the techniques of viability theory to the study of economic systems evolving under contingent uncertainty, faced with scarcity constraints, and obeying various implementation of the inertia principle. The book illustrates how new tools can be used to move from static analysis, built on concepts of optima, equilibria and attractors to a contingent dynamic framework.

Economic Dynamics in Discrete Time

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Publisher : MIT Press
ISBN 13 : 0262325608
Total Pages : 737 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Economic Dynamics in Discrete Time by : Jianjun Miao

Download or read book Economic Dynamics in Discrete Time written by Jianjun Miao and published by MIT Press. This book was released on 2014-09-19 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified, comprehensive, and up-to-date introduction to the analytical and numerical tools for solving dynamic economic problems. This book offers a unified, comprehensive, and up-to-date treatment of analytical and numerical tools for solving dynamic economic problems. The focus is on introducing recursive methods—an important part of every economist's set of tools—and readers will learn to apply recursive methods to a variety of dynamic economic problems. The book is notable for its combination of theoretical foundations and numerical methods. Each topic is first described in theoretical terms, with explicit definitions and rigorous proofs; numerical methods and computer codes to implement these methods follow. Drawing on the latest research, the book covers such cutting-edge topics as asset price bubbles, recursive utility, robust control, policy analysis in dynamic New Keynesian models with the zero lower bound on interest rates, and Bayesian estimation of dynamic stochastic general equilibrium (DSGE) models. The book first introduces the theory of dynamical systems and numerical methods for solving dynamical systems, and then discusses the theory and applications of dynamic optimization. The book goes on to treat equilibrium analysis, covering a variety of core macroeconomic models, and such additional topics as recursive utility (increasingly used in finance and macroeconomics), dynamic games, and recursive contracts. The book introduces Dynare, a widely used software platform for handling a range of economic models; readers will learn to use Dynare for numerically solving DSGE models and performing Bayesian estimation of DSGE models. Mathematical appendixes present all the necessary mathematical concepts and results. Matlab codes used to solve examples are indexed and downloadable from the book's website. A solutions manual for students is available for sale from the MIT Press; a downloadable instructor's manual is available to qualified instructors.

Dynamic Economics

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Publisher : Oxford University Press, USA
ISBN 13 : 0195101928
Total Pages : 249 pages
Book Rating : 4.1/5 (951 download)

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Book Synopsis Dynamic Economics by : Gregory C. Chow

Download or read book Dynamic Economics written by Gregory C. Chow and published by Oxford University Press, USA. This book was released on 1997 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents the optimization framework for dynamic economics and treats a number of topics in economics, including growth, macroeconomics, microeconomics, finance and dynamic games. The book also teaches by examples, using concepts to solve simple problems, moving on to general propositions.

Dynamic Macroeconomics

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Publisher : MIT Press
ISBN 13 : 9780262061919
Total Pages : 484 pages
Book Rating : 4.0/5 (619 download)

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Book Synopsis Dynamic Macroeconomics by : Peter Flaschel

Download or read book Dynamic Macroeconomics written by Peter Flaschel and published by MIT Press. This book was released on 1997 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: An attempt to revitalize the traditions of nonmarket clearing approaches to macroeconomics. Using tools from dynamic analysis, the text introduces a consistent, integrated framework for disequilibrium macroeconomic dynamics and explore its relationship to the competing equilibrium dynamics.

Towards a Dynamic Economics

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Author :
Publisher : Palgrave Macmillan
ISBN 13 : 9780230249288
Total Pages : 184 pages
Book Rating : 4.2/5 (492 download)

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Book Synopsis Towards a Dynamic Economics by : Roy Harrod

Download or read book Towards a Dynamic Economics written by Roy Harrod and published by Palgrave Macmillan. This book was released on 2011 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book marks the beginning of the modern theory of growth, originally published in 1948, it develops the Harrod-Domar model, and launches the entire post-war research program on economic growth. This new edition features a new introduction by Nobel Laureate, Robert Solow, which celebrates the significance of Harrod's work.

Economic Policy and Full Employment

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Publisher : Franklin Classics
ISBN 13 : 9780343311377
Total Pages : 356 pages
Book Rating : 4.3/5 (113 download)

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Book Synopsis Economic Policy and Full Employment by : Alvin H Hansen

Download or read book Economic Policy and Full Employment written by Alvin H Hansen and published by Franklin Classics. This book was released on 2018-10-15 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Economic Dynamics with Memory

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110627450
Total Pages : 602 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Economic Dynamics with Memory by : Vasily E. Tarasov

Download or read book Economic Dynamics with Memory written by Vasily E. Tarasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-01-18 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the applications of fractional calculus, fractional operators of non-integer orders and fractional differential equations in describing economic dynamics with long memory. Generalizations of basic economic concepts, notions and methods for the economic processes with memory are suggested. New micro and macroeconomic models with continuous time are proposed to describe the fractional economic dynamics with long memory as well.

Towards a Dynamic Economics

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Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4./5 ( download)

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Book Synopsis Towards a Dynamic Economics by : R.F. Harrod

Download or read book Towards a Dynamic Economics written by R.F. Harrod and published by . This book was released on 1966 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of Dynamic Economics

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Publisher : Clarendon Press
ISBN 13 : 0191521434
Total Pages : 182 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Methods of Dynamic Economics by : J. R. Hicks

Download or read book Methods of Dynamic Economics written by J. R. Hicks and published by Clarendon Press. This book was released on 1987-10-08 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Capital and Growth was published in 1965, and rapidly established itself as a landmark in economic theory. In this volume, Sir John takes his earlier work and examines it critically for its present-day value. The result is a substantially reworked book based on the first and best part of his 1965 publication. The theme, now more clearly identified, is a comparative study of the economics of change, and brings in many of Hicks's subsequent developments and refinements - in particular a 'neo-Austrian' theory of capital which he developed in Capital and Time(1973). A new chapter on Keynes's methods has been added. The sum is a more complete classification of the family of models appropriate for analysing dynamic economics.

The New Dynamic Public Finance

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Publisher : Princeton University Press
ISBN 13 : 1400835275
Total Pages : 230 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The New Dynamic Public Finance by : Narayana R. Kocherlakota

Download or read book The New Dynamic Public Finance written by Narayana R. Kocherlakota and published by Princeton University Press. This book was released on 2010-07-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal tax design attempts to resolve a well-known trade-off: namely, that high taxes are bad insofar as they discourage people from working, but good to the degree that, by redistributing wealth, they help insure people against productivity shocks. Until recently, however, economic research on this question either ignored people's uncertainty about their future productivities or imposed strong and unrealistic functional form restrictions on taxes. In response to these problems, the new dynamic public finance was developed to study the design of optimal taxes given only minimal restrictions on the set of possible tax instruments, and on the nature of shocks affecting people in the economy. In this book, Narayana Kocherlakota surveys and discusses this exciting new approach to public finance. An important book for advanced PhD courses in public finance and macroeconomics, The New Dynamic Public Finance provides a formal connection between the problem of dynamic optimal taxation and dynamic principal-agent contracting theory. This connection means that the properties of solutions to principal-agent problems can be used to determine the properties of optimal tax systems. The book shows that such optimal tax systems necessarily involve asset income taxes, which may depend in sophisticated ways on current and past labor incomes. It also addresses the implications of this new approach for qualitative properties of optimal monetary policy, optimal government debt policy, and optimal bequest taxes. In addition, the book describes computational methods for approximate calculation of optimal taxes, and discusses possible paths for future research.

Differential Equations, Stability, and Chaos in Dynamic Economics

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Publisher : North Holland
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Differential Equations, Stability, and Chaos in Dynamic Economics by : William A. Brock

Download or read book Differential Equations, Stability, and Chaos in Dynamic Economics written by William A. Brock and published by North Holland. This book was released on 1989 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first economics work of its kind offering the economist the opportunity to acquire new and important analytical tools. It introduces the reader to three advanced mathematical methods by presenting both their theoretical bases and their applications to a wide range of economic models. The mathematical methods presented are ordinary differential equations, stability techniques and chaotic dynamics. Topics such as existence, continuation of solutions, uniqueness, dependence on initial data and parameters, linear systems, stability of linear systems, two dimensional phase analysis, local and global stability, the stability manifold, stability of optimal control and empirical tests for chaotic dynamics are covered and their use in economic theory is illustrated in numerous applications. These applications include microeconomic dynamics, investment theory, macroeconomic policies, capital theory, business cycles, financial economics and many others. All chapters conclude with two sections on miscellaneous applications and exercises and further remarks and references. In total the reader will find a valuable guide to over 500 selected references that use differential equations, stability analysis and chaotic dynamics. Graduate students in economics with a special interest in economic theory, economic researchers and applied mathematicians will all benefit from this volume.

Economic Growth and Development

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Publisher : Springer
ISBN 13 : 3319897551
Total Pages : 360 pages
Book Rating : 4.3/5 (198 download)

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Book Synopsis Economic Growth and Development by : Sibabrata Das

Download or read book Economic Growth and Development written by Sibabrata Das and published by Springer. This book was released on 2018-08-16 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to the newer features of growth theory that are particularly useful in examining the issues of economic development. Growth theory provides a rich and versatile analytical framework through which fundamental questions about economic development can be examined. Structural transformation, in which developing countries transition from traditional production in largely rural areas to modern production in largely urban areas, is an important causal force in creating early economic growth, and as such, is made central in this approach. Towards this end, the authors augment the Solow model to include endogenous theories of saving, fertility, human capital, institutional arrangements, and policy formation, creating a single two-sector model of structural transformation. Based on applied research and practical experiences in macroeconomic development, the model in this book presents a more rigorous, quantifiable, and explicitly dynamic dual economy approach to development. Common microeconomic foundations and notation are used throughout, with each chapter building on the previous material in a continuous flow. Revised and updated to include more exercises for guided self study, as well as a technical appendix covering required mathematical topics beyond calculus, the second edition is appropriate for both upper undergraduate and graduate students studying development economics and macroeconomics.

Introduction to Dynamic Macroeconomic Theory

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Publisher : Harvard University Press
ISBN 13 : 9780674461116
Total Pages : 392 pages
Book Rating : 4.4/5 (611 download)

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Book Synopsis Introduction to Dynamic Macroeconomic Theory by : George T. McCandless

Download or read book Introduction to Dynamic Macroeconomic Theory written by George T. McCandless and published by Harvard University Press. This book was released on 1991 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economies are constantly in flux, and economists have long sought reliable means of analyzing their dynamic properties. This book provides a succinct and accessible exposition of modern dynamic (or intertemporal) macroeconomics. The authors use a microeconomics-based general equilibrium framework, specifically the overlapping generations model, which assumes that in every period there are two generations which overlap. This model allows the authors to fully describe economies over time and to employ traditional welfare analysis to judge the effects of various policies. By choosing to keep the mathematical level simple and to use the same modeling framework throughout, the authors are able to address many subtle economic issues. They analyze savings, social security systems, the determination of interest rates and asset prices for different types of assets, Ricardian equivalence, business cycles, chaos theory, investment, growth, and a variety of monetary phenomena. Introduction to Dynamic Macroeconomic Theory will become a classic of economic exposition and a standard teaching and reference tool for intertemporal macroeconomics and the overlapping generations model. The writing is exceptionally clear. Each result is illustrated with analytical derivations, graphically, and by worked out examples. Exercises, which are strategically placed, are an integral part of the book.

Dynamic Economic Theory

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521563246
Total Pages : 342 pages
Book Rating : 4.5/5 (632 download)

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Book Synopsis Dynamic Economic Theory by : Michio Morishima

Download or read book Dynamic Economic Theory written by Michio Morishima and published by Cambridge University Press. This book was released on 1996-10-17 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book devolops multi-sector general equilibrium theory in the tradition of Hicks's Value and Capital.