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Collected Works of W.M. Gorman: Separability and aggregation

Collected Works of W.M. Gorman: Separability and aggregation
Author: William Moore Gorman
Publisher: Oxford University Press
Total Pages: 512
Release: 1995
Genre: Business & Economics
ISBN: 9780198285212

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This volume brings together for the first time the important work of W.M. (Terence) Gorman, a major figure in the development of economics during the past 40 years. His publications on separability, aggregation, duality and demand are recongized as fundamental contributions to economic theory.


Duality and Modern Economics

Duality and Modern Economics
Author: Richard Cornes
Publisher: CUP Archive
Total Pages: 308
Release: 1992-02-28
Genre: Business & Economics
ISBN: 9780521336017

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Provides a simple introductory exposition to the basic structure of dual technique analysis - consumer behaviour and producer behaviour - which has been used by many economists since the 1970s. Includes diagrams and an index.


Handbook of Utility Theory

Handbook of Utility Theory
Author: Salvador Barbera
Publisher: Springer Science & Business Media
Total Pages: 714
Release: 1998
Genre: Business & Economics
ISBN: 9780792381747

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The standard rationality hypothesis implies that behaviour can be represented as the maximization of a suitably restricted utility function. This hypothesis lies at the heart of a large body of recent work in economics, of course, but also in political science, ethics, and other major branches of social sciences. Though the utility maximization hypothesis is venerable, it remains an area of active research. Moreover, some fundamental conceptual problems remain unresolved, or at best have resolutions that are too recent to have achieved widespread understanding among social scientists. The main purpose of the Handbook of Utility Theory is to make recent developments in the area more accessible. The editors selected a number of specific topics, and invited contributions from researchers whose work had come to their attention. Therefore, the list of topics and contributions is largely the editors' responsibility. Each contributor's chapter has been refereed, and revised according to the referees' remarks. This is the first volume of a two volume set, with the second volume focusing on extensions of utility theory.


Production Economics: A Dual Approach to Theory and Applications

Production Economics: A Dual Approach to Theory and Applications
Author: Melvyn Fuss
Publisher: Elsevier
Total Pages: 361
Release: 2014-06-28
Genre: Business & Economics
ISBN: 148325903X

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Contributions to Economic Analysis: Production Economics: A Dual Approach to Theory and Applications, Volume 2 focuses on the theory of production from the standpoint of the "dual", the relationships between economic observables which are dual to physical technology. The selection first ponders on duality, intermediate inputs and value-added, Hicks' aggregation theorem and the existence of a real value-added function, and homotheticity and real value-added in Canadian manufacturing. Discussions focus on real value-added and the production structure, estimation of the production structure, double deflation and real value-added, measurement of total productivity, and duality between direct and conditional indirect utility functions. The book then examines the estimation techniques for the elasticity of substitution and other production parameters and measurement of the elasticity of factor substitution and bias of technical change. The publication takes a look at the identification of technical change in the electricity generating industry, factor substitution in electricity generation, and the effectiveness of rate-of-return regulation. Topics include statistical tests of regulatory effectiveness, profit function for a regulated firm, tests of the structure of technology, identification problems in the measurement of technical change, and measurement of disembodied technical change. The selection is a valuable source of information for economists and researchers interested in production economics.


Multi-Output Production and Duality: Theory and Applications

Multi-Output Production and Duality: Theory and Applications
Author: Rolf Färe
Publisher: Springer Science & Business Media
Total Pages: 178
Release: 2012-12-06
Genre: Business & Economics
ISBN: 9401106517

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Our original reason for writing this book was the desire to write down in one place a complete summary of the major results in du ality theory pioneered by Ronald W. Shephard in three of his books, Cost and Production Functions (1953), Theory of Cost and Produc tion Functions (1970), and Indirect Production Functions (1974). In this way, newcomers to the field would have easy access to these important ideas. In adg,ition, we report a few new results of our own. In particular, we show the duality relationship between the profit function and the eight equivalent representations of technol ogy that were elucidated by Shephard. However, in planning the book and discussing it with colleagues it became evident that such a book would be more useful if it also provided a number of applications of Shephard's duality theory to economic problems. Thus, we have also attempted to present exam ples of the use of duality theory in areas such as efficiency measure ment, index number theory, shadow pricing, cost-benefit analysis, and econometric estimation. Much of our thinking about duality theory and its uses has been influenced by our present and former collaborators. They include Charles Blackorby, Shawna Grosskopf, Knox Lovell, Robert Russell, and, not surprisingly, Ronald W. Shephard. We have also benefit ted over the years from many discussions with W. Erwin Diewert.


Duality Principles in Nonconvex Systems

Duality Principles in Nonconvex Systems
Author: David Yang Gao
Publisher: Springer Science & Business Media
Total Pages: 463
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475731760

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Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.


General Equilibrium and Welfare Economics

General Equilibrium and Welfare Economics
Author: James C. Moore
Publisher: Springer Science & Business Media
Total Pages: 575
Release: 2006-12-20
Genre: Business & Economics
ISBN: 354032223X

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This book offers the basic grasp of general equilibrium theory that is a fundamental background for advanced work in virtually any sub-field of economics, and the thorough understanding of the methods of welfare economics, particularly in a general equilibrium context, that is indispensable for undertaking applied policy analysis. The book uses extensive examples, both simple ones intended to bolster basic concepts, and those illustrating application of the material to economics in practice.


Hospital Cost Analysis

Hospital Cost Analysis
Author: J. R. Butler
Publisher: Springer Science & Business Media
Total Pages: 424
Release: 1995-01-31
Genre: Business & Economics
ISBN: 9780792332473

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Hospital Cost Analysis provides an overview of theoretical developments in the economic analysis of production and costs in the multiproduct firm, and discusses these developments. Following a lucid explanation of the concepts of jointness, input/output separability and returns to scale, a detailed discussion of the concept measurement and classification of hospital output is provided. A fundamental dilemma confronting economists interested in estimating hospital cost functions is highlighted, viz. the trade-off between flexibility in functional form and homogeneity within hospital output categories. Empirical results on the effects of case mix, scale and utilisation, public/private ownership, and the centralised administration of hospital systems on hospital costs are presented. The implications of hospital cost analysis for public policy with respect to hospital payment schemes, including schemes based on Diagnosis Related Groups (DRGs), are also considered. This book brings together the literature on hospital cost analysis with theoretical developments in the analysis of the multiproduct cost functions. It will be of considerable interest to teachers and students of health economics and health policy advisers interested in the determinants of hospital costs and the design of hospital payment schemes.