The Hamiltonian Approach To Dynamic Economics

Author : David Cass
Publisher : Academic Press
ISBN 13 : 1483266850
Total Pages : 212 pages
Book Rating : 4.55/5 ( download)

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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.

Author : David Cass
Publisher :
ISBN 13 :
Total Pages : 201 pages
Book Rating : 4.05/5 ( download)

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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:

Author : David Cass
Publisher :
ISBN 13 :
Total Pages : 201 pages
Book Rating : 4.46/5 ( download)

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Download or read book The Hamilton 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:

Author : Farasat A. S. Bokhari
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.93/5 ( download)

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Download or read book A Hamiltonian approach towards a dynamic analysis written by Farasat A. S. Bokhari and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Tassos Bountis
Publisher : Springer Science & Business Media
ISBN 13 : 364227305X
Total Pages : 277 pages
Book Rating : 4.56/5 ( download)

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Download or read book Complex Hamiltonian Dynamics written by Tassos Bountis and published by Springer Science & Business Media. This book was released on 2012-04-03 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena and distinguish order from strongly and weakly chaotic regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored in particular in the concrete setting of one-dimensional Hamiltonian lattices and physical applications in condensed matter systems. The self-contained and pedagogical approach is blended with a unique balance between mathematical rigor, physics insights and concrete applications. End of chapter exercises and (more demanding) research oriented problems provide many opportunities to deepen the reader’s insights into specific aspects of the subject matter. Addressing a broad audience of graduate students, theoretical physicists and applied mathematicians, this text combines the benefits of a reference work with those of a self-study guide for newcomers to the field.

Author : Gaetano Vilasi
Publisher : World Scientific
ISBN 13 : 9789812386311
Total Pages : 460 pages
Book Rating : 4.19/5 ( download)

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Download or read book Hamiltonian Dynamics written by Gaetano Vilasi and published by World Scientific. This book was released on 2001 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems. As a textbook, it provides a systematic and self-consistent formulation of Hamiltonian dynamics both in a rigorous coordinate language and in the modern language of differential geometry. It also presents powerful mathematical methods of theoretical physics, especially in gauge theories and general relativity. As a monograph, the book deals with the advanced research topic of completely integrable dynamics, with both finitely and infinitely many degrees of freedom, including geometrical structures of solitonic wave equations. Contents: Analytical Mechanics: The Lagrangian Coordinates; Hamiltonian Systems; Transformation Theory; The Integration Methods; Basic Ideas of Differential Geometry: Manifolds and Tangent Spaces; Differential Forms; Integration Theory; Lie Groups and Lie Algebras; Geometry and Physics: Symplectic Manifolds and Hamiltonian Systems; The Orbits Method; Classical Electrodynamics; Integrable Field Theories: KdV Equation; General Structures; Meaning and Existence of Recursion Operators; Miscellanea; Integrability of Fermionic Dynamics. Readership: Physicists and mathematicians.

Author : Giancarlo Benettin
Publisher : Springer
ISBN 13 : 3540315411
Total Pages : 187 pages
Book Rating : 4.14/5 ( download)

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Download or read book Hamiltonian Dynamics - Theory and Applications written by Giancarlo Benettin and published by Springer. This book was released on 2005-01-14 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume compiles three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field. The aim is to describe the state of the art for some interesting problems, such as the Hamiltonian theory for infinite-dimensional Hamiltonian systems, including KAM theory, the recent extensions of the theory of adiabatic invariants, and the phenomena related to stability over exponentially long times of Nekhoroshev's theory. The books may serve as an excellent basis for young researchers, who will find here a complete and accurate exposition of recent original results and many hints for further investigation.

Author : Tatsuro Ichiishi
Publisher : Elsevier
ISBN 13 : 1483295060
Total Pages : 177 pages
Book Rating : 4.60/5 ( download)

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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

Author : Neri Salvadori
Publisher : Taylor & Francis
ISBN 13 : 1136731164
Total Pages : 450 pages
Book Rating : 4.67/5 ( download)

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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.

Author : Marc Nerlove
Publisher : Academic Press
ISBN 13 : 1483218880
Total Pages : 495 pages
Book Rating : 4.85/5 ( download)

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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.