Drastic changes of the societies in the new century require new paradigm in every area of social science. Organizations study is not exception. This book illustrates the cutting edge of organizations study beyond the traditional approaches in management science and general management theory. With an interdisciplinary approach emphasizing systemic properties of organizations such as interaction, hierarchy, network and emergence, it covers dynamic aspects of organizational learning and evolution as well as the decision making function and information processing process.

Drastic changes of the societies in the new century require new paradigm in every area of social science. Organizations study is not exception. This book illustrates the cutting edge of organizations study beyond the traditional approaches in management science and general management theory. With an interdisciplinary approach emphasizing systemic properties of organizations such as interaction, hierarchy, network and emergence, it covers dynamic aspects of organizational learning and evolution as well as the decision making function and information processing process.

The theory of Lie groups has proven to be a most powerful analytical tool in many areas of modern scientific endeavors. It was only a few years ago that economists discovered the usefulness of this approach in their study of the frontiers of modern economic theory. These frontiers include the areas of technical change and productivity, technology and preference, economic conservation laws, comparative statics and integrability conditions, index number problems, and the general theory of ~ observable market behavior (Sato [1980, 1981], Nono [1971], Sato and N~no [1983], Russell [1983]). 1 In Nono [1971] and Sa to [1981, Chapter 4] the concept of "G-neutral" (group neutral) technical change was first introduced as a natural extension of the well-known concepts of Hicks, Harrod, Solow and Sato-Beckmann-Rose neutrality. The present monograph contains a further extension of the G-neutral technical change to the case of non-constant-returns-to-scale technology and to the case of multiple factor inputs. The methodology of total productivity estimation by means of Lie group transformations is also developed in this monograph. We would like to express our sincere thanks to many individuals notably to Professor M. J. Beckmann, Professor F. Mimura, Professor G. Suzawa, T. Mitchell, K. Mino and P. Calem, for their numerous contributions at various stages of this work. We are also grateful to Marion Wathey for her usual superb typing of this difficult manuscript. Providence, R. I. , U. S. A.

The essays in this volume were presented to Professor Isamu Yamada in honor of his seventy-third birthday. In view of his many professional contributions and associations, a single volume of essays is really insufficient to house the works of all those who wish to be part of a venture of this kind. Therefore, the editors would like to apologize to those friends and well-wishers of Professor Yamada who could not be accommodated in this volume. Born in Nagoya in 1909, Professor Yamada began his brilliant career at Nagoya Commercial College where he studied economics, statistics, mathematics and physics. After serving as a Professor of Economics and Statistics at Yokohama College between 1939-1940, Professor Yamada moved to Hitotsubashi University in Tokyo, where he served as a Professor of Econometrics until his retirement in 1973. Currently, he is teaching at Asia University as a Professor of Economics and Statistics. During his long tenure at Hitotsubashi University (where Professor Ichiro Nakayama, a "Japanese Schumpeter," served as President of the University), Professor Yamada was instrumental in introducing several generation of students to the methods of modern econometrics. One of the editors (Ryuzo Sato) of this volume is a direct beneficiary of his lectures on modern econometric techniques. In the 1950's, Professor Yamada was one of several prominent Japanese economists who were selected for study abroad. It was during this time, on a visit to the Cowles Commission at the University of Chicago, that Professor Yamada met the other editor of this volume.

This volume on the proceedings of a symposium on Resource Allocation and Division of Space represents a revised interest in the old problem of allocation and a fresh attack on the increasingly vital problem of space management. The symposium was held at the Toba International Hotel, near Nagoya, Japan in December, 1975. Although the contributions included in this volume are all broadly concerned with either resource allocation or spatial problems, the editors have selected papers essentially on the basis of scientific merits and orginality rather than on the basis of narrowly focused topics and titles. The result is that all of the papers included, ranging from growth, index number, space density function, factor mobility, concentration and accumulation between sectors and spaces, distributions, relationship between spatial structure and organizational structure to the application of Lie group to production functions, are of the highest quality. It is the intention and belief of the editors that this collection of wide ranging but highly original papers is a major contribution to the advancement of economic science. The editors feel that a symposium of this kind is worthwhile and should be held at regular intervals. The list of contributions can be divided into two parts. Part I, consisting of papers 1 through 9, deals in general with allocation. Papers 10 through 13 compose Part II, which is primarily concerned with spatial problems.