INTERNATIONAL ECONOMIC ASSOCIATION CONFERENCE VOLUMES, Numbers1-50 NUMBER 24 Risk and Uncertainty RISK AND UNCERTAINTY Proceedings of a Conference held by the International Economic Association EDITED BY KARL BORCH AND JAN MOSSIN M S TOCKTON P R E S S 81} © International Economic Association 1968 Softcover reprint of the hardcover 1st edition 1968 978-0-333-40652-6 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 Act 1956 (as amended). 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 1968 This 50-volume set reprinted 1986 jointly by THE MACMILLAN PRESS LTD Houndmills, Basingstoke, Hampshire RG21 2XS and London Companies and representatives throughout the world and YUSHODO CO. LTD 29 Saneicho, Shinjuku-ku Tokyo 160 Japan. Tel: 03(357)1411 Distributed exclusively in Japan through Publishers International Corporation (P.I.C.) Published in the United States and Canada by STOCKTON PRESS 15 East 26th Street, New York, N.Y. 10010 50-volume set ISBN 978-0-333-40626-7 ISBN 978-1-349-15250-6 ISBN 978-1-349-15248-3 (eBook) DOI 10.1007/978-1-349-15248-3 CONTENTS AcKNOWLEDGEMENTS ix LIST OF PARTICIPANTS xi INTRODUCTION. Karl Borch xiii PART I ECONOMIC DECISIONS UNDER UNCERTAINTY 1. DESCRIPTIVE AND NORMATIVE IMPLICATIONS OF THE DECISION-THEORY PosTULATES. Kenneth R. MacCrimmon 3 Discussion 24 2. AN EMPIRICAL ANAL;YSIS OF RISK-TAKING BY FIRMS IN THE SAVINGS AND LoAN INDUSTRY. Donald D. Hester 33 Discussion 61 3. MEASURING THE PERCEPTION OF RISK. Richard N. Rosett 68 Discussion 85 4. INVESTMENT BEHAVIOUR WITH UTILITY A CONCAVE FUNCTION of WEALTH. Marshall Freimer and Myron J. Gordon 94 Discussion 109 PART II GENERAL DECISION THEORY 5. UNCERTAINTY AND THE COMMUNICATION OF INFORMATION. C. B. Winsten 123 Discussion 135 6. ON SOME OPEN QUESTIONS IN STATISTICAL DECISION THEORY. G. Menges 140 Discussion 155 7. A THEORY OF BINARY DECISIONS. Petru L. lvanescu 163 Discussion 181 8. PROGRAMMES FOR HuMAN DECISION-MAKING. Pavel Pelikan 183 Discussion 193 v Contents 9. GENERALIZATION OF CLASSICAL DECISION THEORY. Werner Leinfellner 196 Discussion 210 PART Ill GROUP DECISIONS AND MARKET MECHANISMS 10. PSYCHOLOGICAL VARIABLES AND COALITION-FORMING BEHAVIOUR. Reinhard Selten and Klaus G. Schuster 221 Discussion 240 11. GENERAL EQUILIBRIUM IN THE EcoNOMics oF UNCERTAINTY. Karl Borch 247 Discussion 259 12. INDIVIDUAL, CO-OPERATIVE, AND COMPETITIVE PRICING OF RISKS. Hans Biihlmann 265 Discussion 274 13. MINIMAX BEHAVIOUR AND PRICE PREDICTION. Edmond Baudier 283 Discussion 305 14. CoMPUTATION IN ORGANIZATIONS: CoMPARISON OF PRicE MECHANISMS AND OTHER ADJUSTMENT PROCESSES. T. A. Marschak 311 Discussion 350 PART IV UNCERTAINTY AND NATIONAL PLANNING 15. RISK AND UNCERTAINTY IN THE MANAGEMENT OF SoVIET FIRMS. Ivan M. Siroyezhin 359 Discussion 364 16. SoME PROBLEMS OF RISK IN A SociALIST EcoNOMY. Ladislav Uncovsky 375 Discussion 381 17. THE PoWER ELEMENT IN THE CoNTROL oF AN EcoNOMY. Anton Klas 383 Discussion 390 18. MoDERN THEORIES OF EcoNOMIC FoRECASTING. Arkadiy A. G retchikhin 39 5 vi Contents PART V SEQUENTIAL DECISION PROBLEMS 19. SoME PROBLEMS OF EcoNOMIC GROWTH IN A PLANNED EcoNOMY. Ja romir Walter 407 Discussion 418 20. A DYNAMIC LEONTIEF MODEL WITH CHANCE-CONSTRAINTS. Sten Thore 422 Discussion 434 21. APPLICATION OF STOCHASTIC CONTROL PROCESSES TO EcoNOMics. Milan Ullrich 442 Discussion 44 7 INDEX 451 vii ACKNOWLEDGEMENTS THE International Economic Association wishes to express its grati tude to all those organizations and persons who helped in arranging the Conference reported in this volume. The Conference was held and this volume has been prepared and published with the aid of funds made available to the Association by UNESCO and by the Ford Foundation. To both those bodies the Association owes great gratitude for their support over a long period of years. A particular word of thanks is due to the Czechoslovak Academy of Sciences, who made it possible to hold the Conference in the beautiful setting of Smolenice Castle, fifty kilometres north of Bratislava. Our sincere thanks are due to those who wrote the papers for the Conference, and to those who contributed to the discussions. A special word of gratitude is due to Dr. Jana Sereghyova of the Economic Institute of the Czechoslovak Academy of Sciences, who was in charge of the secretariat and the local arrangements for the Conference. 28 November 1966 A2 !X LIST OF PARTICIPANTS Professor Karl Borch (Chairman), Norwegian School of Economics and Business Administration, Bergen, Norway. Mr. F. Bessiere (Vice-Chairman), Electricite de France, Paris, France. Professor Jaromir Walter (Vice-Chairman), Vysoka Skola Ekonomicka, Prague, Czechoslovakia. Professor Luc Fauvel (Secretary-General), Universite de Paris, France. Dr. Jan Mossin (Rapporteur), Norwegian School of Economics and Business Administration, Bergen, Norway. Mr. M. Baret, Shell, Paris, France. Mr. Edmond Baudier, Cermap, Paris, France. Professor Hans Biihlmann, Federal Institute of Technology, Zurich, Switzerland. Professor Myron J. Gordon, University of Rochester, Rochester, U.S.A. Dr. Arkadiy A. Gretchikhin, Association of Soviet Scientific Economic Institutions, Moscow, U.S.S.R. Professor Donald D. Hester, Yale University, U.S.A. Dr. Petru L. lvanescu, Academia R.S.R., Bucharest, Rumania. Professor Anton Klas, Vysoka Skola Economicka, Bratislava, Czecho- slovakia. Dr. J. Koerts, Econometrisch Instituut, Rotterdam, Netherlands. Dr. Werner Leinfellner, lnstitut fiir Hohere Studien, Vienna, Austria. Mr. Bjorn Leonardz, Stockholm University, Stockholm, Sweden. Professor Kenneth R. MacCrimmon, Carnegie Institute of Technology, Pittsburgh, U.S.A. Dr. Zbigniew Madej, Polish Economic Society, Warsaw, Poland. Professor Thomas A. Marschak, University of California, Berkeley, U.S.A. Professor G. Menges, Universitiit des Saarlandes, Saarbriicken, West Germany. Dr. Pavel Pelikan, Academy of Sciences, Prague, Czechoslovakia. Professor Richard N. Rosett, University of Rochester, Rochester, U.S.A. Dr. Reinhard Selten, Goethe Universitiit, Frankfurt am Main, West Germany. Professor Ivan M. Siroyezhin, Leningrad University, Leningrad, U.S.S.R. Mr. C. A. Stael von Holstein, Stockholm University, Stockholm, Sweden. Dr. Sten Thore, Norwegian School of Economics and Business Admini stration, Bergen, Norway. Dr. Milan Ullrich, Academy of Sciences, Prague, Czechoslovakia. xi List of Participants Dr. Ladislav Uncovsky, University of Bratislava, Bratislava, Czecho slovakia. Dr. Christopher B. Winsten, Nuffield College, Oxford, England.