Nonlinear and Multisectoral Macrodynamics Essays in Honour of Richar

A collection of essays concerned with nonlinear and multisectoral macrodynamics written in honour of Richard Goodwin which includes discussion of Goodwin's contribution and ideas in comparison with other theories.

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Nonlinear and Multisectoral Macrodynamics Essays in Honour of Richard Goodwin Edited by

Kumaraswamy Velupillai

Professor of Economics University of Aalborg, Denmark

M

MACMILLAN

© Kumaraswamy Velupillai 1990 Softcover reprint of the hardcover 1st edition 1990 All rights reserved. No reproduction, copy or transmission of this publication may be made without written permission. No paragraph of this publication may be reproduced, copied or transmitted save with written permission or in accordance with the provisions of the Copyright, Designs and Patents Act 1988, or under the terms of any licence permitting limited copying issued by the Copyright Licensing Agency, 33-4 Alfred Place, London WCIE 7DP. Any person who does any unauthorised act in relation to this publication may be liable to criminal prosecution and civil claims for damages. First published 1990 Published by THE MACMILLAN PRESS LTD Houndmills, Basingstoke, Hampshire RG21 2XS and London Companies and representatives throughout the world

British Library Cataloguing in Publication Data Nonlinear and multi sectoral macrodynamics: essays in honour of Richard Goodwin. I. Economics I. Velupillai, Kumaraswamy II. Goodwin, R.M., 1913330 ISBN 978-1-349-10614-1 ISBN 978-1-349-10612-7 (eBook) DOI 10.1007/978-1-349-10612-7

Contents Notes on the Contributors

VB

PART I: BIOGRAPHICAL NOTES Introduction Kumaraswamy Velupillai

3

2 Richard Goodwin Retrospective J. K. Galbraith

6

3 The (Nonlinear) Life and (Economic) Times of Richard M. Goodwin Kumaraswamy Velupillai 7 PART II: NONLINEAR MACRODYNAMICS 4 Goodwin's Growth Cycle: Reminiscence and Rumination Robert M. Solow

31

5 Deterministic Chaos in Economics: An Occurrence in Axiomatic Utility Theory Paul A. Samuelson 42 6 A Model of Cyclical Growth Richard Stone

64

7 Observations Concerning the Growth Cycle Andrew Brody

90

8 A Reconsideration of Frisch's Original Cycle Model BjOrn Thalberg 96 9 Social Rigidities, Growth Cycles and Development Planning Amiya Kumar Bagchi v

118

vi

Contents

PART III: MULTISECTORAL MACRODYNAMICS 10 Normalised General Coordinates and Vertically Integrated Sectors in a Simple Case Luigi L. Pasinetti

151

11 A Comparison Between Goodwin's Normalised General Coordinates and Pasinetti's Vertical Integration Methods Terenzio Cozzi 165 12 Generalised Diagonal Coordinates in Dynamical Analysis and Capital and Distribution Theory Lionello F. Punzo

173

PART IV: EXOTICA 13 The Specification of Error Terms Jan Tinbergen

201

14 Rationality in Disequilibrium Siro Lombardini

207

15 Probabilistic Causality and Economic Models: Suppes, Keynes and Granger Alessandro Vercelli 224 Index of names

247

Index of subjects

251

Notes on the contributors Professor Amiya Kumar Bagchi Centre for Studies in Social Sciences Calcutta Professor Andrew Brody Institute of Economics Hungarian Academy of Sciences Budapest Professor Terenzio Cozzi President of the Scientific Committee Luigi Einaudi Foundation and University of Turin Turin Professor John Kenneth Galbraith Harvard University Cambri