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A sequel to his frequently cited Cost and Production Functions (1953), this book offers a unified, comprehensive treatment of these functions which underlie the economic theory of production. The approach is axiomatic for a definition of technology, by mappings of input vectors into subsets of output vectors that represent the unconstrained technical possibilities of production. To provide a completely general means of characterizing a technology, an alternative to the production function, called the Distance Function, is introduced. The duality between cost function and production function is developed by introducing a cost correspondence, showing that these two functions are given in terms of each other by dual minimum problems. The special class of production structures called Homothetic is given more general definition and extended to technologies with multiple outputs. Originally published in 1971. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Production theory and the theory of cost both belong to the central areas of business administration, for all considerations concerning the economic organization of industrial manufacturing processes start from these. Two developments in the past 30 years have had a considerable influence on the structure and the concentration on points of emphasis in this book. I am referring to findings from KOOPMANS' activity analysis and to the formulation by GUTENBERG of a production function concept that focuses on industrial production processes. Activity analysis has made it possible to develop, from a uniform approach, different types of production functions which describe the concrete principles of production in the productive sector of a business enterprise; this has created a common basis for all production concepts in business administration. The Gutenberg Production Function with its different kinds of adjustment to a changing output has opened up a flexibility to theoretical and practical considerations that gave rise to a large number of additional studies in this area. Considerations in cost theory were in particular need of considerable extensions in the direction of cost minimal combined adjustment processes. By means of the organization of its contents, this book will take both approaches into due account. In that way, it is vastly different from other books dealing with the same subject. As a matter of course, traditional analytical methods and ways of thinking also constitute a large part of the book.
This study is the result of an interest in the economic theory of production intermittently pursued during the past three years. Over this period I have received substantial support from the Office of Naval Research, first from a personal service consulting contract directly with the Mathematics Division of the Office of Naval Research and secondly from Project N6 onr-27009 at Princeton Univer sity under the direction of Professor Oskar Morgenstern. Grateful acknowledgement is made to the ·Office of Naval Research for this support and to Professor Morgenstern, in particular, for his interest in the puolication of this research. The responsibility for errors and omissions, how ever, rests entirely upon the author. Professor G. C. Evans has given in terms of a simple total cost function, depending solely upon output rate, a treatment of certain aspects of the economic theory of production which has inherent generality and convenience of formulation. The classical approach of expressing the technology of production by means of a production function is potentially less restrictive than the use of a simple total cost function, but it has not been applied in a more general form other than to derive the familiar conditions between marginal productivities of the factors of produc tion and their market prices.
The johansen schema; An integrated system of production: comments and criticisms; The ex ante function; The ex ante function and the ex post micro function; Aggregate putty-clay functions; Agtregate neoclassical production functions; Neoclassical production functions: fact or fantasy? Production functions - some conclusions.
This graduate text develops production theory from a set of reasonable axioms. The theory is presented both in a primal and dual as well as in an indirect (constrained) framework. The basic model leads to a set of efficiency measures which can be readily employed in empirical work. A first draft of the text was used to teach students at Vanderbilt University. The text includes a variety of exercise problems.
This text presents a complete summary of the major results in duality theory pioneered by Ronald W. Shephard. Building on this base, the authors present new findings including the duality relationship between the profit function and the eight equivalent representations of technology that were elucidated by Shephard. Finally, it provides a number of applications of duality theory to economic problems. These include efficiency measurement, index number theory, shadow pricing, cost-benefit analysis and econometric estimation.
This book covers the basic theory of how, what and when firms should produce to maximise profits. Based on the neoclassical theory of the firm presented in most general microeconomic textbooks, it extends the general treatment and focuses on the application of the theory to specific problems that the firm faces when making production decisions to maximise profits. Increasing level of government regulation and the use of specialised and often very expensive equipment in modern production motivates the following focus areas: 1) How to optimise production under restrictions., 2) Treatment of fixed inputs and the process of input fixation, 3) Optimisation of production over time, 4) Linear and Mixed Integer Programming as tools for optimisation in practice. This updated second edition includes a more comprehensive introduction to the theory of decision making under risk and uncertainty as well as a new chapter on how to use linear programming to generate the supply function of the firm.
This title was first published in 2001. The objective of this book is to discuss specification and applications of new production, cost and profit functions. It is aimed at specialists in production, economic growth, costs, profits and applied econometrics in particular.