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The Hamiltonian Approach to Dynamic Economics

Author: David Cass

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 212

ISBN-13: 1483266850

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.

The Hamiltonian Approach to Dynamic Economics

Author: David Cass

Publisher:

Published: 1976

Total Pages: 201

ISBN-13:

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Dynamic Economic Systems

Author: John M. Blatt

Publisher: Routledge

Published: 2019-07-29

Total Pages: 398

ISBN-13: 1315496283

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The future of the Common Law judicial system in Hong Kong depends on the perceptions of it by Hong Kong's Chinese population, judicial developments prior to July 1, 1997, when Hong Kong passes from British to Chinese control, and the Basic Law. These critical issues are addressed in this book.

New Mathematical Advances in Economic Dynamics

Author: David F. Batten

Publisher: Routledge

Published: 2018-02-28

Total Pages: 271

ISBN-13: 1351141066

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Originally published in 1985. Mathematical methods and models to facilitate the understanding of the processes of economic dynamics and prediction were refined considerably over the period before this book was written. The field had grown; and many of the techniques involved became extremely complicated. Areas of particular interest include optimal control, non-linear models, game-theoretic approaches, demand analysis and time-series forecasting. This book presents a critical appraisal of developments and identifies potentially productive new directions for research. It synthesises work from mathematics, statistics and economics and includes a thorough analysis of the relationship between system understanding and predictability.

The Economy As An Evolving Complex System

Author: Philip W. Anderson

Publisher: CRC Press

Published: 2018-03-12

Total Pages: 246

ISBN-13: 0429972474

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This book proceeds from a meeting at the Santa Fe Institute where economists and physical and biological scientists came together to discuss a conceptual framework incorporating a more appropriate mathematics with a greatly strengthened capacity to deal simultaneously with multiple variables, nonlinearity, incomplete information and dynamical processes.

Cycles and Chaos in Economic Equilibrium

Author: Jess Benhabib

Publisher: Princeton University Press

Published: 2021-02-09

Total Pages: 490

ISBN-13: 0691225214

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In recent years economists have begun to use the techniques of non-linear dynamics to show that some apparently erratic and turbulent economic phenomena reflect subtle underlying patterns. How do cyclic and chaotic dynamics arise in economic models of equilibrium? How can empirical methods be used to detect nonlinearities and cyclic and chaotic structures in economic models? In examining these questions, this book brings together the most significant work that has been done to date in economics-based chaos theory. Selected here particularly for the economist who is not a specialist in chaos theory, the essays, some previously unpublished and others not widely available, describe a new tool for understanding business cycles, stabilization policy, and forecasting. The contributors to the volume are William J. Baumol, Jess Benhabib, Michele Boldrin, William A. Brock, Richard H. Day, Raymond J. Deneckere, Allan Drazen, Jean-Michel Grandmont, Kenneth L. Judd, Bruno Jullien, Guy Laroque, Blake LeBaron, Bruce McNevin, Luigi Montrucchio, Salih Nefti, Kazuo Nishimura, James B. Ramsey, Pietro Reichlin, Philip Rothman, Chera L. Sayers, Jos A. Scheinkman, Wayne Shafer, William Whitesell, Edward N. Wolff, and Michael Woodford.

The New Palgrave Dictionary of Economics

Author:

Publisher: Springer

Published: 2016-05-18

Total Pages: 7493

ISBN-13: 1349588024

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The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.

Progress in Economics Research

Author: Albert Tavidze

Publisher: Nova Publishers

Published: 2003

Total Pages: 224

ISBN-13: 9781590338001

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This series spans the globe presenting leading research in economics. Perhaps it is a sign of the times that economic weapons such as sanctions seem to be as powerful as or more so than tanks. International applications and examples of economic progress are invaluable in a troubled world with economic booms bursting like so many penny balloons. Intra-industry Trade; Extending Brand Equity: The Role of Goal Congruence; Foreign Direct Investment and Dissemination of Job Opening Information in China; Testing Asymmetry in a Cointegrated-VAR-Based Labor Demand Model: Italian Evidence; Negative Externality, Tacit Bargaining and Cigarette Demand: The Case of Environmental Tobacco Smoke in Japan; Does Audit Quality Influence Post-IPO Survival?; Dynamic Arbitrage-free Asset Pricing with Proportional Transaction Costs; Knowledge Structure, Technical Progress, and Underdevelopment Trap; Paternalistic Altruism, Life-Cycle Hypothesis, and the Ricardian Equivalence; Three Approaches to Multi-dimensional Screening; Index.

Economic—Environmental—Energy Interactions

Author: T.R. Lakshmanan

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 208

ISBN-13: 9400987390

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This publication is concerned with two major current debates in public policy in all affluent societies. One is the widespread concern with the quality of the natural environment-the quality of air, water, land, and wilderness areas-which has expressed itself in the passage and implementation in recent years of a variety of environmental laws and regulations. A second debate concerns the adequacy of energy resources to meet the requirements of a growing economy. The requirement that industries must abate environmental pollution leads to increased costs of production and, in turn, to higher prices, falling output in those industries, and reduced employment and income in the region where such industries are located. There may be, at the same time, growth in indus tries that supply pollution abatement equipment and services in those or other regions. Over time, the health and economic benefits of higher envi ronmental quality express themselves in changing patterns of consumption.

Methods of Dynamic Economics

Author: J. R. Hicks

Publisher: Clarendon Press

Published: 1987-10-08

Total Pages: 182

ISBN-13: 0191521434

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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.