Resource Allocation and Division of Space Proceedings of an Internat

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 t

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147

Resource Allocation and Division of Space Proceedings of an International Symposium Held at Toba Near Nagoya, Japan 14-17 December, 1975

Edited by T. Fujii and R. Sato

Springer-Verlag Berlin Heidelberg New York 1977

CONTENTS RESOURCE ALLOCATION AND DIVISION OF SPACE Edited by Ryuzo Sato Takashi Fujii Page Preface Papers 1.

Analysis of Production Functions by Lie Theory of Transformation Groups: Classification of General Ces Functions - Ryuzo Sato

2.

1

On Adjustment Speed, Complementarity and Global Stability - Yoshio Kilpura

15

3.

Marketing Costs and Unemployment Equilibrium - Takashi Negishi

23

4.

Monopoly and General Equilibrium - Tadashi Minagawa

33

5.

Redistribution of Income and Measures of Income Inequality - Yoshimasa Kurabayashi and Atsuo Yatsuka

6.

47

Investment Allocation and Growth in a Two-Sector Economy with Nonshiftable Capital- Hajime Hori

61

7.

Factor Specificity and The Rybczinski Theorem - Koji Okuguchi

83

8.

Devaluation and Financial Controls in the Multi-Commodity World - Akira Takayama

9.

95

An Economic Development Model by the Theory of Concentrated

Accumulation - Takayoshi Umeshita

107

IV

10. Spatial Equilibrium: A New Approach to Urban Density - Martin J. Beckmann

11. On Changes of Urban Space Structure - Kenji Kojima

121

131

12. The Double-Ring Structure Model of Metropolitan Area - Takao Fukuchi 13. A Theory of Space and Organization - Takashi Fujii Authors List

147 171 183

PREFACE

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. Sato opens this volume with a contribution dealing with the application of Lie group to the analysis of production functions. Using