The Hamiltonian Approach to Dynamic Economics

The Hamiltonian Approach to Dynamic Economics PDF Author: David Cass
Publisher: Academic Press
ISBN: 1483266850
Category : Business & Economics
Languages : en
Pages : 212

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Book Description
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

The Hamiltonian Approach to Dynamic Economics PDF Author: David Cass
Publisher: Academic Press
ISBN: 1483266850
Category : Business & Economics
Languages : en
Pages : 212

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Book Description
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

The Hamiltonian Approach to Dynamic Economics PDF Author: David Cass
Publisher:
ISBN:
Category : Economics
Languages : en
Pages : 201

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Book Description


Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds

Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds PDF Author: Taeyoung Lee
Publisher: Springer
ISBN: 3319569538
Category : Mathematics
Languages : en
Pages : 561

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Book Description
This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.

The Export—Import Bank

The Export—Import Bank PDF Author: David P. Baron
Publisher: Academic Press
ISBN: 1483268535
Category : Business & Economics
Languages : en
Pages : 357

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Book Description
The Export—Import Bank: An Economic Analysis provides a critical analysis of the export financing issue and the Eximbank's performance in fulfilling its congressional mandate. The analysis is based on extensive interviews with Eximbank officials and on numerous internal documents in addition to published materials. This book is composed of 11 chapters that reflect the three perspectives on Eximbank's performance. First, an analysis of the need for such financing is presented in conjunction with an assessment of the competitiveness of U.S. programs compared with those provided by other nations. Second, Eximbank performance is evaluated in terms of the cost of its programs, their potential welfare impacts, and the likely impact on U.S. exports. Third, an evaluation is provided of the Eximbank's decision making and its methodology for evaluating the impact of its direct credit program. Recommendations are made concerning U.S. export financing objectives, strategies for achieving those objectives, and Eximbank administrative procedures. This work also provides an economic analysis of Eximbank financing and includes a case study of Eximbank decision making in the granting of a $200 million aircraft credit to Ansett Airlines of Australia. This book will prove useful to those who are interested in international trade and finance, as well as those concerned more broadly with government intervention in markets.

General Equilibrium, Growth, and Trade

General Equilibrium, Growth, and Trade PDF Author: Jerry R. Green
Publisher: Academic Press
ISBN: 1483271455
Category : Business & Economics
Languages : en
Pages : 422

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Book Description
General Equilibrium, Growth, and Trade: Essays in Honor of Lionel McKenzie provides information pertinent to the three main areas of Professor McKenzie's scientific research, namely, international trade, economic growth, and general equilibrium theory. This book highlights the main aspects of McKenzie's work. Organized into three parts encompassing 21 chapters, this book begins with an overview of the regularizing effects of aggregation over nonregular microrelations. This text then examines the theory of a multiperiod monopolist incurring nonseparable labor adjustment costs, which is developed when investment is irreversible. Other chapters consider the behavior of a price-maker in a competitive market as a preliminary step to a more complete analysis of pure competition. This book discusses as well the effects of uncertainty on optimal decisions, which constitutes an increasingly essential area of economic research. The final chapter deals with the general equilibrium macroeconomic model. This book is a valuable resource for economists and economic theorists.

Trade, Stability, and Macroeconomics

Trade, Stability, and Macroeconomics PDF Author: George Horwich
Publisher: Academic Press
ISBN: 1483267482
Category : Political Science
Languages : en
Pages : 577

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Book Description
Trade, Stability, and Macroeconomics: Essays in Honor of Lloyd A. Metzler provides information pertinent to the fundamental aspects of trade, stability, and macroeconomics. This book covers a variety of topics, including nontraded and intermediate commodities, prices, production, exchange rates, and wages. Organized into five parts encompassing 22 chapters, this book begins with an overview of the theory of international trade and the effect of a tariff or export tax on domestic prices. This text then defines the supply of the international commodities as a function of their prices and of the output of the domestic commodity. Other chapters consider the Stolper–Samuelson analysis of the effects of protection of the distribution of income. This book discusses as well the theory of external–internal balance or the assignment problem as related to macroeconomic policy in an open economy. The final chapter deals with the dynamic allocation of scarce resources. This book is a valuable resource for economists.

Multinomial Probit

Multinomial Probit PDF Author: Carlos Daganzo
Publisher: Elsevier
ISBN: 1483299341
Category : Business & Economics
Languages : en
Pages : 239

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Book Description
Multinomial Probit

Distributional Consequences of Direct Foreign Investment

Distributional Consequences of Direct Foreign Investment PDF Author: Robert H. Frank
Publisher: Academic Press
ISBN: 1483271536
Category : Business & Economics
Languages : en
Pages : 170

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Book Description
Distributional Consequences of Direct Foreign Investment examines the net effect of direct foreign investment (DFI) on both U.S. employment demand in the short run and on the level and distribution of domestic income in the long run. Topics covered range from measurement of home-foreign substitution to the employment impact of DFI and the long-run distributional consequences of overseas investment. Short-run labor market adjustments to unemployment resulting from overseas production transfers are also discussed. Comprised of nine chapters, this volume begins with a survey of existing studies of the DFI phenomenon that critically evaluates the question of what firms would or could have done in the absence of a DFI alternative. The reader is then introduced to an alternative framework within which to estimate the degree of substitutability of home for foreign production. This framework consists of a microeconomic model of the multinational firm as it operates under two alternative policy regimes, one of which places no restrictions on the firm's activities and the second denies it the option of establishing a foreign production subsidiary. Input-output techniques, together with information on substitutability, are used to obtain estimates of the net employment impact of DFI. A probabilistic model of an industry labor market is also presented. In addition, the book analyzes the effect of technology transfer through licensing on the size and composition of domestic income. This monograph will be useful to practitioners who employ econometrics and mathematical economics.

Arrow Impossibility Theorems

Arrow Impossibility Theorems PDF Author: Jerry S. Kelly
Publisher: Academic Press
ISBN: 1483271269
Category : Social Science
Languages : en
Pages : 207

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Book Description
Arrow Impossibility Theorems is a 10-chapter text that describes existing impossibility theorems. This book explores a number of formalizations of ethical constraints of the theorems. After an introduction to the framework and notation for Arrow impossibility theorems, this book goes on discussing some concepts and an apparatus of relations among those concepts which are important for the theorems. Other chapters present some impossibility results that serve to point out serious difficulties in some plausible escape routes from the theorems of earlier chapters. The final chapter describes important areas of research that have arisen in the collective choice field in the transition away from studying the conditions of Arrow's theorem alone to the totality of all impossibility theorems. This book is intended primarily for economists.

More Heat than Light

More Heat than Light PDF Author: Philip Mirowski
Publisher: Cambridge University Press
ISBN: 1107717183
Category : Business & Economics
Languages : en
Pages : 468

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Book Description
More Heat Than Light is a history of how physics has drawn some inspiration from economics and also how economics has sought to emulate physics, especially with regard to the theory of value. It traces the development of the energy concept in Western physics and its subsequent effect upon the invention and promulgation of neoclassical economics. Any discussion of the standing of economics as a science must include the historical symbiosis between the two disciplines. Starting with the philosopher Emile Meyerson's discussion of the relationship between notions of invariance and causality in the history of science, the book surveys the history of conservation principles in the Western discussion of motion. Recourse to the metaphors of the economy are frequent in physics, and the concepts of value, motion, and body reinforced each other throughout the development of both disciplines, especially with regard to practices of mathematical formalisation. However, in economics subsequent misuse of conservation principles led to serious blunders in the mathematical formalisation of economic theory. The book attempts to provide the reader with sufficient background in the history of physics in order to appreciate its theses. The discussion is technically detailed and complex, and familiarity with calculus is required.