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Current Developments in the Interface: Economics, Econometrics, Mathematics: State of the Art Surveys Presented on the Occasion of the 25th Anniversary of the Econometric Institute (Netherlands School of Economics), Erasmus University, Rotterdam, January PDF

352 Pages·1982·22.805 MB·English
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Current Developments in the Interface: Economics, Econometrics, Mathematics Current Developments in the Interface: Economics, Econometrics, Mathematics State of the Art Surveys Presented on the Occasion of the 25th Anniversary of the Econometric Institute (Netherlands School ofE conomics), Erasmus University, Rotterdam, January 1982 edited by M. HAZEWINKEL Mathematical Centre, Amsterdam, The Netherlands and A. H. G. RINNOOY KAN Department of Operations Research, Erasmus University Rotterdam, The Netherlands D. REIDEL PUBLISHING COMPANY Dordrecht, Holland / Boston, U.S.A. / London, England library of Congress Cataloging in Publication Data Main entry under title: Current developments in the interface: Economics, econometrics, mathematics Includes bibliographical references and index. 1. Economics-Congresses. 2. Econometrics-Congresses. 3. Economics, Mathematical-Congresses. 4. Erasmus Universiteit Rotterdam. Econometrisch Instituut-Congresses. I. Hazewinkel, Michiel. II. Rinnooy Kan, A. H. G., 1949- III. Erasmus Universiteit Rotterdam. Econometrisch Instituut. HB21.C87 1982 330 82-16694 ISBN -13: 978-94-009-7935-2 e-ISBN -13: 978-94-009-7933-8 DOl: 10.1007/978-94-009-7933-8 Published by D. Reidel Publishing Company P.O. Box 17,3300 AA Dordrecht, Holland Sold and distributed in the U.S.A. and Canada by Kluwer Boston Inc., 190 Old Derby Street, Hingham, MA 02043, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, Holland D. Reidel Publishing Company is a member of the Kluwer Group All Rights Reserved Copyright © 1982 by D. Reidel Publishing Company, Dordrecht, Holland Softcover reprint of the hardcover 1st edition 1982 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any informational storage and retrieval system, without written permission from the copyright owner TABLE OF CONTENTS Preface ix Introduction Welcoming address to the participants of the symposium by W.H. Somermeyer The Econometric Institute: background and developments by B.S. van der Laan 5 Chapter I. Economics of Academia Introductory remarks by J. Tinbergen 11 H. Theil, Research in econometrics and the economics of academia 13 Questions and comments 22 Chapter II. Micro economics Introductory remarks by T. Kloek 25 J.H. Dreze, Decision criteria for business firms 27 Questions and comments 52 Chapter III. Autocorrelation Introductory remarks by J. Koerts 55 J. Durbin, More than twenty-five years of testing for serial correlation in least squares regression 59 Questions and comments 71 Chapter IV. Efficiency and optimization Introductory remarks by H.N. Weddepohl 73 D. Gale, Efficiency 75 Questions and comments 86 Chapter V. Econometric policy models Introductory remarks by J. Sandee 87 L. Johansen, Econometric models and economic planning and policy: some trends and problems 91 Questions and comments 121 vi TABLE OF CONTENTS Chapter VI. Equilibrium econometrics Introductory remarks by J. van Daal 123 D.W. Jorgenson, An econometric approach to general equilibrium analysis 125 Questions and comments 156 Chapter VII. Foundations of identification Introductory remarks by E.J. Bomhoff 159 R.E. Kalman, Identification from real data 161 Chapter VIII. Planning Introductory remarks by H.C. Bos 197 L. Kantorovich, Planning, mathematics and economics 201 Questions and comments 210 Chapter IX. Control and economics Introductory remarks by R. Harkema 213 D. Kendrick, Stochastic control and uncertainty in dynamic economic systems 217 Questions and comments 232 Chapter X. Disequilibrium econometrics Introductory remarks by J. Siebrand 235 E. Malinvaud, An econometric model for macro- disequilibrium analysis 239 Questions and comments 257 Chapter XI. Identification of time series Introductory remarks by M. Hazewinkel 259 R. Mehra, Identification in control and econometrics 261 Questions and comments 286 Chapter XII. Mathematical programming Introductory remarks by A.H.G. Rinnooy Kan 289 M.J.D. Powell, Algorithms for constrained and unconstrained optimization calculations 293 Questions and comments 311 Chapter XIII. Foundations of modeling Introductory remarks by M.M.G. Fase 313 C.A. Sims, Scientific standards in econometric modeling 317 Questions and comments 338 List of participants 341 Index 347 LIST OF SPONSORS Erasmus University Rotterdam, Faculty of Economics Stichting Universiteitsfonds, Rotterdam Vereniging voor Statistiek (V.V.S.), Rotterdam Algemene Bank Nederland, Rotterdam Bllhrman-Tetterode N.V., Amsterdam Berenschot, Adviseurs voor Beleidsvorming en Organisatie, Utrecht Digital Equipment B.V., Utrecht Hermes Information B.V. (Wordprocessors), Gouda IBM Nederland N.V., Amsterdam Kuyper, van Dam & Smeer B.V., Rotterdam Nationale Nederlanden N.V., Den Haag North Holland Publishing Company, Amsterdam N.V. Philips' Gloeilampenfabrieken, Eindhoven Vroom en Dreesman, Rotterdam PREFACE This book contains the Proceedings of a symposium that was held in Rotterdam from 12 to 15 January 1982 to celebrate the 25-th anniversary of the Econometric Institute of the Erasmus University. The subject of the symposium, developments in econometrics and related fields, was particularly appropriate for the occasion. In 25 years the research carried out at the Econometric Institute developed from the original seminal work in econometrics, carried out under the supervision of the first director H. Theil, to embrace related areas such as mathematical economics, operations research, systems theory and other branches of mathematics, statistics and probability theory. To review the state of the art in these areas, thirteen leading experts were invited to deliver a lecture at the symposium; their contributions form .the backbone of this book. Together, they illustrate the wide range and scope of the current scientific activity in these fields. The thirteen authoritative surveys should be of great value to researchers and students alike, who want to become acquainted with recent ideas, current trends and future developments in their chosen fields of interest. Each contribution is preceded by an introduction to the author and his work and followed by a summary of the discussion that followed the lecture. A special chapter is devoted to the history of the Econometric Institute. The symposium was attended by more than hundred participants from several countries. It required a major organisational effort by several members of the Institute and would have been impossible without the active and much appreciated support of the Faculty of Economics and of the Erasmus University. We are also very grateful for the financial support received from various benefactors; some preferred to remain anonymous, the others are listed below. A shadow over the symposium was cast by the signs of the serious illness of the director of the Institute, W.H. Somermeyer. His untimely death, only a few months later, is a great loss to the Institute and to the scientific community as a whole. This book, of which he would have been one the editors, is dedicated to his memory, in recognition of his great personal courage and of his exemplary scientific integrity. M. Hazewinkel A.H.G. Rinnooy Kan ix M Hazewinkel and A. H. G. Rinnooy Kan (eds.), Cu"ent Developments in the Interface: Economics, Econometrics, Mathematics, ix. Copyright © 1982 by D. Reidel Publishing Company. PROFESSOR W. H. SOMERMEYER INTRODUCTION WELCOMING ADDRESS TO THE PARTICIPANTS OF THE SYMPOSIUM W• H. SOMERMEYER On behalf of the Econometric Institute I can only second the dean of the Economic Faculty, Professor Siddre, in welcoming all participants to the symposium. Naturally, I am unable to address them individually, hence I have to do it collectively. Still, I wish to make a few exceptions to that rule. First, we are honoured that Professor Tinbergen, pioneer in the fields of mathematical economics, econometrics and development programming will participate in our symposium. Particularly we appreciate his willingness to act as chairman, namely in a session where our second guest of honour, Professor Theil, first director of our Econometric Institute, will expound his views on research in econometrics and the economics of academia. This brings me, third, to express our special gratitude to all speakers. We are proud that the great majority of those whom we invited accepted to deliver lectures on topics within the fields of econometrics and related domains in which they are interested and specialized. The remaining few regretted that they could not come for quite respectable reasons. Finally, I wish to thank all colleagues willing to act as chairmen of sessions, and particularly those having to leave their home-towns for this purpose. 1. WHY A SYMPOSIUM? I suppose you all noticed the cause, occasion, or perhaps even excuse for organizing a symposium, namely the 25th anniversary of our institute. After all, we are all number fetichists. Besides, a special reason why people are still celebrating silver weddings and the like, is that in these days of ever-rising rates of divorce, such marks of duration become increasingly rare, hence precious. M. Hazewinkel and A. H. G. Rinnooy Kan (eds.), Current Developments in the Interface: Economics, Econometrics, Mathematics, 1-3. Copyright © 1982 by D. Reidel Publishing Company. 2 W. H. SOMERMEYER When, more than 15 years ago, Professor Theil was succeeded, as director, by our former colleague and third guest of honour, Sandee (and me), occasional deprecating remarks were made as regards the institute's chances of survival. Incidentally this symposium may affirm that the Econometric Institute is still alive. In passing, I wish to add that the celebration of the institute's 25th anniversary was originally proposed by Mr. Van der Laan, the active secretary of our Program Committee. Reflecting about such a landmark in time naturally gives rise to retrospects and prospects. In view of the institute's cosmopolitan outlook it seemed natural to put its activities in international perspective. Hence, this symposium, where econometricians and related scientists from abroad will review and preview work performed - or still ahead - in fields in which also Rotterdam's Econometric Institute is active, or at least interested. For this purpose, the time schedule of the lectures provides for a dialogue - or rather polylogue - between the invited speakers and the audience: 10 to 15 minutes introduction by a Dutch chairman, about three quarters of an hour by the speaker, leaving approximately half an hour for discussion. 2. NATURE OF THE SYMPOSIUM The symposium is intended to interest a wide range of scientists of various but related and cross-fertilizing disciplines - and possibly to let them partake in the discussions. For this purpose, the Program Committee asked the invited speakers to prepare their lectures such that they would appeal to a rather broad academic audience. Specifically, that they would present surveys - outlining the "state of the art" in question - rather than dealing with very special issues. Fortunately, they all complied with this request, otherwise having been left sufficient freedom to deal with the topics they cherish in any way they would like. That objective, of providing the participants of this symposium a "tour d'horizon", is also reflected in its title, to wit "on the development in econometrics and related fields" (both past and prospective, I would like to add). At first sight, use of the nruch-abused definite article "the" development etc. might look presumptious, i.e. as if pretending to cover the entire field of econometrics etcetera. Of course, this is neither feasible nor - for that reason - intended. Actually, that sweeping title only means to convey that we do not wish to impose any bounds on scope of topics or problems to be dealt with or discussed - except, of course, as required by relevance and limitations of time (but that is up to the chairman). And further, that we aimed at variety (or diversity) rather than unity; this in accordance with the development of the Econometric Institute itself, towards a federation of fairly autonomous, "disciplinary" groups (mathematics, statistics, operations research, mathematical

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