This authoritative and stimulating book represents a fundamental critique of the aggregate production function, a concept widely used in macroeconomics.

Economic research monograph on the economic theory of production functions and aggregation - includes a bibliography pp. 301 to 307.

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.

Professor Green discusses the definition of consistent aggregation and the problem of grouping variables in a single equation; he deals with the aggregation of equations and the probable errors; and summarizes, with reference to the text, the considerations involved in selecting an appropriate form of aggregation. The author's survey presents a well-balanced overview and analysis of aggregation, and makes readily accessible for the first time much material otherwise difficult to obtain. Originally published in 1964. 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.

Aggregation lies at the heart of macroeconomics. Economists using such aggregates as capital, investment, labor, and even output or GNP assume that such constructions have a sound analytic foundation. The question of the existence of aggregate production functions is not only part of the foundation of macroeconomic theory and policy but also played a central role in the "Cambridge vs. Cambridge" debate, which challenged long-held assumptions about the foundations of neoclassical microeconomics. In this third collection of his essays Franklin M. Fisher settles the question of the conditions for the existence of aggregate production functions. He examines the conditions for approximate aggregation and, through simulation experiments, considers why aggregate production functions appear to work in practice. He also explores related topics involving price aggregation and aggregation in international trade.

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.

Production economics is that branch of microeconomics that examines producer decisions. This book focuses on the empirical estimation of these relationships using primal, dual, and differential specifications. The primal specification models production decisions based on the production function — estimation of the input/output relationship and the derivation of optimization behavior from this technical relationship. The dual approach estimates production decisions using economic information such as input and output prices. The textbook then develops the linkages between these relationships. The differential specification is an alternative approach derived from changes in the first-order conditions from cost minimizing behavior. In each case, the theoretical development is followed by different empirical specifications that can be used to estimate the producer's choice.