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Author: Michal Kalecki
Publisher:
ISBN: 9781583677254
Category : Business cycles
Languages : en
Pages : 180
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Book Description
Author: Michal Kalecki
Publisher:
ISBN: 9781583677254
Category : Business cycles
Languages : en
Pages : 180
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Book Description
Author: V.L. Makarov
Publisher: Springer Science & Business Media
ISBN: 1461298865
Category : Business & Economics
Languages : en
Pages : 268
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Book Description
This book is devoted to the mathematical analysis of models of economic dynamics and equilibria. These models form an important part of mathemati cal economics. Models of economic dynamics describe the motion of an economy through time. The basic concept in the study of these models is that of a trajectory, i.e., a sequence of elements of the phase space that describe admissible (possible) development of the economy. From all trajectories, we select those that are" desirable," i.e., optimal in terms of a certain criterion. The apparatus of point-set maps is the appropriate tool for the analysis of these models. The topological aspects of these maps (particularly, the Kakutani fixed-point theorem) are used to study equilibrium models as well as n-person games. To study dynamic models we use a special class of maps which, in this book, are called superlinear maps. The theory of superlinear point-set maps is, obviously, of interest in its own right. This theory is described in the first chapter. Chapters 2-4 are devoted to models of economic dynamics and present a detailed study of the properties of optimal trajectories. These properties are described in terms of theorems on characteristics (on the existence of dual prices) and turnpike theorems (theorems on asymptotic trajectories). In Chapter 5, we state and study a model of economic equilibrium. The basic idea is to establish a theorem about the existence of an equilibrium state for the Arrow-Debreu model and a certain generalization of it.
Author: John Stachurski
Publisher: MIT Press
ISBN: 0262544776
Category : Business & Economics
Languages : en
Pages : 395
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Book Description
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.
Author: Luigi Pasinetti
Publisher: Cambridge University Press
ISBN: 9780521029766
Category : Business & Economics
Languages : en
Pages : 212
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Book Description
This book is a theoretical investigation of the influence of human learning on the development through time of a 'pure labour' economy. The theory proposed is a simple one, but aims to grasp the essential features of all industrial economies. Economists have long known that two basic phenomena lie at the root of long-term economic movements in industrial societies: capital accumulation and technical progress. Attention has been concentrated on the former. In this book, by contrast, technical progress is assigned the central role. Within a multi-sector framework, the author examines the structural dynamics of prices, production and employment (implied by differentiated rates of productivity growth and expansion of demand) against a background of 'natural' relations. He also considers a number of institutional problems. Institutional and social learning, know-how, and the diffusion of knowledge emerge as the decisive factors accounting for the success and failure of industrial societies.
Author: Richard H. Day
Publisher:
ISBN: 9780262528603
Category : Ekonomi, Matematiksel
Languages : en
Pages : 0
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Book Description
V. 1. An introduction to dynamical systems and market mechanisms -- v. 2. An introduction to macroeconomics dynamics.
Author: David de la Croix
Publisher: Cambridge University Press
ISBN: 9780521001151
Category : Business & Economics
Languages : en
Pages : 400
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Book Description
This book provides an in-depth treatment of the overlapping generations model in economics incorporating production.
Author: Nancy L. Stokey
Publisher: Harvard University Press
ISBN: 0674735188
Category : Business & Economics
Languages : en
Pages : 607
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Book Description
This rigorous but brilliantly lucid book presents a self-contained treatment of modern economic dynamics. Stokey, Lucas, and Prescott develop the basic methods of recursive analysis and illustrate the many areas where they can usefully be applied.
Author: Jianjun Miao
Publisher: MIT Press
ISBN: 0262325608
Category : Business & Economics
Languages : en
Pages : 737
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Book Description
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.
Author: Edwin Burmeister
Publisher: CUP Archive
ISBN: 9780521228893
Category : Business & Economics
Languages : en
Pages : 358
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Book Description
Capital theory and dynamics are cornerstones for almost every branch of economics. Except in a fictional world where the economies of yesterday, today, and tomorrow are identical, issues of capital formation and dynamic behaviour must always arise. Although the specialist literature is technically demanding, Professor Burmeister shows that its important results can be understood and their economic significance grasped by those who do not possess the "mathematical literacy" required to follow rigorous proofs. Even if future events are known with certainty, they still influence the current economic state. This is the pure role of time. That future events are not known with certainty adds another complexity. This book focuses mainly on the pure role of time.
Author: M. Kalecki
Publisher: Routledge
ISBN: 113651709X
Category : Business & Economics
Languages : en
Pages : 96
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Book Description
These essays, though formally independent, nevertheless constitute a whole, each one preparing the way for the succeeding chapter.
