Economic Dynamics with Memory

Economic Dynamics with Memory
Author: Vasily E. Tarasov
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 602
Release: 2021-01-18
Genre: Business & Economics
ISBN: 3110627450

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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.

Economic Dynamics with Memory

Economic Dynamics with Memory
Author: Vasily E. Tarasov
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 562
Release: 2021-01-18
Genre: Business & Economics
ISBN: 3110624818

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The series is devoted to the publication of high-level monographs which cover progresses in fractional calculus research in mathematics and applications in physics, mechanics, engineering and biology etc. Methodological aspects e.g., theory, modeling and computational methods are presented from mathematical point of view, and emphases are placed in computer simulation, analysis, design and control of application-oriented issues in various scientific disciplines. It is designed for mathematicians, and researchers using fractional calculus as a tool in the field of physics, mechanics, engineering and biology. Contributions which are interdisciplinary and which stimulate further research at the crossroads of sciences and engineering are particularly welcomed. Editor-in-chief: Changpin Li, Shanghai University, China Editorial Board: Virginia Kiryakova, Bulgarian Academy of Sciences, Bulgaria Francesco Mainardi, University of Bologna, Italy Dragan Spasic, University of Novi Sad, Serbia Bruce Ian Henry, University of New South Wales, Australia YangQuan Chen, University of California, Merced, USA Please submit book proposals to Leonardo Milla, [email protected]

Long Memory in Economics

Long Memory in Economics
Author: Gilles Teyssière
Publisher: Springer Science & Business Media
Total Pages: 394
Release: 2006-09-22
Genre: Business & Economics
ISBN: 3540346252

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Assembles three different strands of long memory analysis: statistical literature on the properties of, and tests for, LRD processes; mathematical literature on the stochastic processes involved; and models from economic theory providing plausible micro foundations for the occurrence of long memory in economics.

Symposium In Memory Of Kei Mori: Studies In Economic Dynamics

Symposium In Memory Of Kei Mori: Studies In Economic Dynamics
Author: Lawrence R Klein
Publisher: World Scientific
Total Pages: 162
Release: 1995-05-31
Genre: Business & Economics
ISBN: 9814550043

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Kei Mori pursued dual research interests as an economist and an engineer. During the 1960s he worked at the Keio University on problems of dynamic economics and anticipated many later developments in this field, both in the construction and application of macrodynamic models. He approached the problem from the point of view of both economics and control engineering. He had advanced ideas at an early stage in computer development about distributed processing, international data management, and control of the dynamic properties of economic systems. As a visiting scholar at the University of Pennsylvania during the late 1960s he participated fully in the new developments there in global model building.During the later years of his life he turned his attention to engineering research, harnessing sunlight for interior plant growth, but he left a lasting impression on economics. These accomplishments are commemorated in this volume by some of his Japanese colleagues and Lawrence Klein with whom he worked at the University of Pennsylvania.This volume contains papers by Kei Mori's colleagues Fumimosa Hamada and Kiroyuki Kosaka who interpreted and analyzed Kei Mori's dynamic models. In addition Mitsuo Saito and associates take up dynamic properties of asset-market models. It is rounded up with active discussions by leading Japanese economic scholars, and a reprinting of one of Kei Mori's original works in econometrics.

Mathematical Economics

Mathematical Economics
Author: Vasily E. Tarasov
Publisher: MDPI
Total Pages: 278
Release: 2020-06-03
Genre: Business & Economics
ISBN: 303936118X

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This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.

International Trade and Economic Dynamics

International Trade and Economic Dynamics
Author: Takashi Kamihigashi
Publisher: Springer Science & Business Media
Total Pages: 532
Release: 2008-10-16
Genre: Business & Economics
ISBN: 3540786767

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Renowned trade theorist Koji Shimomura passed away in February 2007 at the age of 54. He published nearly 100 articles in international academic journals. The loss of this extremely productive economist has been an enormous shock to the economic profession. This volume has emerged from the great desire on the part of the profession to honor his contributions to economic research. Contributors include authoritative figures in trade theory such as Murray Kemp, Ronald Jones, Henry Wan, and Wilfred Ethier, world-renowned macroeconomists such as Stephen Turnovski and Costas Azariadis, and leading Japanese economists such as Kazuo Nishimura, Makoto Yano, Ryuzo Sato, and Koichi Hamada. This broad range of contributors reflects Koji Shimomura’s many connections as well as the respect he earned in the economic profession. This volume offers the reader a rare opportunity to learn the views of so many renowned economists from different schools of thought.

Complex Systems Approach to Economic Dynamics

Complex Systems Approach to Economic Dynamics
Author: Abraham C.-L. Chian
Publisher: Springer Science & Business Media
Total Pages: 109
Release: 2007-08-17
Genre: Business & Economics
ISBN: 3540397531

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Statistical analysis of stock markets and foreign exchange markets has demonstrated the intermittent nature of economic time series. A nonlinear model of business cycles is able to simulate intermittency arising from order-chaos and chaos-chaos transitions. This monograph introduces new concepts of unstable periodic orbits and chaotic saddles, which are unstable structures embedded in a chaotic attractor and responsible for economic intermittency.

Economic Dynamics

Economic Dynamics
Author: Ronald Shone
Publisher: Cambridge University Press
Total Pages: 730
Release: 2002-11-28
Genre: Business & Economics
ISBN: 9780521017039

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This is the substantially revised and restructured second edition of Ron Shone's successful advanced textbook Economic Dynamics. The book provides detailed coverage of dynamics and phase diagrams, including: quantitative and qualitative dynamic systems, continuous and discrete dynamics, linear and non-linear systems and single equation and systems of equations. It illustrates dynamic systems using Mathematica, Maple V and spreadsheets. It provides a thorough introduction to phase diagrams and their economic application and explains the nature of saddle path solutions. The second edition contains a new chapter on oligopoly and an extended treatment of stability of discrete dynamic systems and the solving of first-order difference equations. Detailed routines on the use of Mathematica and Maple are now contained in the body of the text, which now includes advice on the use of Excel and additional examples and exercises throughout. Supporting website contains solutions manual and learning tools.

Recursive Methods in Economic Dynamics

Recursive Methods in Economic Dynamics
Author: Nancy L. Stokey
Publisher: Harvard University Press
Total Pages: 607
Release: 1989-10-10
Genre: Business & Economics
ISBN: 0674735188

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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.