Tinbergen Lectures on Organization Theory

In this book Professor Beckmann, with considerable ingenuity, offers a mathematical analysis of productive organizations in the widest sense. Starting with descriptive features he builds up, step by step, production functions, profiting from the rigor of

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Martin J. Beckmann

Tinbergen Lectures on Organization Theory With a Preface by Jan Tinbergen

With 15 Figures

Spri nger-Verlag Berlin Heidelberg New York Tokyo 1983

Prof. Dr. Martin J. Beckmann Brown University, Providence, RI 02912, USA and Institut fOr Angewandte Mathematik, Technische Universitat MOnchen BarerstraBe 23, 0-8000 MOnchen 2, FRG

ISBN-13: 978-3-642-96781-8 e-ISBN-13: 978-3-642-96779-5 001: 10.1007/978-3-642-96779-5 Library of Congress Cataloging in Publication Data. Beckmann. Martin J .. Tinbergen lectures on organization theory. (Texts and monographs in economics and mathematical systems). Includes bibliographical references and index. 1. Organization-Addresses. essays. lectures. I. Title. II. Series. HD3tB3699542 1963 658.4'013 83-14765 This work is subject to copyright. All rigths are reserved, wether the whole or part of materials is concerned. specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means. and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich. © Springer-Verlag Berlin Heidelberg 1983 Softcover reprint of the hardcover 1st edition 1983 The use of registered names, trademarks, etc. in this publication does not imply. even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.

Preface

In this book Professor Beckmann, with considerable ingenuity, offers a mathematical analysis of productive organizations in the widest sense. Starting with descriptive features he builds up, step by step, production functions, profiting from the rigor of a set of axioms or assumptions and their logical implications.

Among

the organizations studied hierarchies play a predominant role and are compared with such forms of cooperation as partnerships and "ladders".

A number of well-known basic concepts such as span of

control, rank, line vs. staff and others serve as starting points.

His analysis leads to such refinements as balanced,

regular or degenerated organization patterns and interesting comparisons of the efficiency of various structures. Empirical verification of the axioms or assumptions is not the objective chosen by the author--except a few concrete illustrations--but the book constitutes an excellent basis for such research. Several of the results obtained take simpler forms for very large hierarchies.

The renewed interest, shown in political

discussions, in the bureaucratization of both large enterprises and government machinery makes Dr. Beckmann's work highly topical. Discussions (by Bahro) of the GDR and by many other authors of Japanese management as compared with American or western European are cases in point.

Some additional variables may then have to be

added, of a psychological nature:

for instance satisfaction from

work or irritation evoked by excessive supervision. Havin