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Lecture Notes in Economics and Mathematical Systems For information about Vols. 1-128, please contact your bookseller or Springer-Verlag Vol. 129: H.·J. Luthi, Komplemenlarltiits-und FixpunklalgOrHhmen in Vol. 157: Optimization and Operalions Research. Proceedings 1977. der mathematischen Programmierung. Spieltheorie und Okonomie. Edited by R. Henn, B. Korte, and W. Oettli. VI, 270 pages. 1978. VII, 145 Seiten. 1976. Vol. 158: L. J. Cherene, Set Valued Dynamical Systems and Economic Vol. 130: Multiple Criteria Decision Making, Jouy-en-Josas, France. Flow. VIII. 83 pages. 1978. Proceedings 1975. Edited by H. Thiriez and S. Z,onts. VI, 409 pages. Vol. 159: Some Aspects of the Foundations of General Equilibrium 1976. Theory: The Posthumous Papers of Peter J. Kalman. Edited by J. Green. Vol. 131: Mathematical Systems Theory. Proceedings 1975. Edited VI, 167 pages. 1978. by G. Marchesini and S. K. Mitter. X, 408 pages. 1976. Vol. 160: Integer Programming and Related Areas. A Classified Vol. 132: U. H. Funke, Mathematical Models in Marketing. A Collec· Bibliography. Edited by D. Hausmann. XIV, 314 pages. 1978. tion of Abstracts. XX, 514 pages. 1976. Vol. 161: M. J. Beckmann, Rank in Organizations. VIII, 164 pages.1978. Vol. 133: Warsaw Fall Seminars in Mathematical Economics 1975. Edited by M. W. Los, J. Los, and A Wieczorek. V. 159 pages. 1976. Vol. 162: Recent Developments in Variable Structure Systems, Eco nomics and Biology. Proceedings 1977. Edited by R. R. Mohler and Vol. 134: Computing Methods in Applied Sciences and Engineering. A Ruberti. VI, 326 pages. 1978. Proceedings 1975. VIII, 390 pages. 1976. Vol. 135: H. Haga, A Disequilibrium - Equilibrium Model with Money Vol. 163: G. Fandel, Optimale Entscheidungen In Organlsationen. and Bonds. A Keynesian - Walrasian SynthesIs. VI, 119 pages. 1976. VI, 143 Seiten. 1979. Vol. 136: E. Kofler und G. Menges, Entscheidungen bel unvollstandiger Vol. 164: C. L. Hwang and A S. M. Masud, Multiple Objective De· Information. XII, 357 Seiten. 1976. cision Making - Methods and Applications. A State-of-the-Art Survey. Vol. 137: R. Wets, Grundlagen Konvexer Optlmlerung. VI, 146 Selten. XII, 351 pages. 1979. 1976. Vol. 165: A Maravall, Identification in Dynamic Shock-Error Models. Vol. 138: K Okuguchi, Expectations and Stability In Oligopoly Models. VIII, 158 pages. 1979. VI, 103 pages. 1976. Vol. 166: R. Cuninghame-Green, Minimax Algebra. XI, 258 pages. Vol. 139: Production Theory and Its Applications. Proceedings. Edited 1979. by H. Albach and G. Bergendahl. VIII, 193 pages. 1977. Vol. 167: M. Faber, Introduction to Modern Austrian Capital Theory. Vol. 140: W. Eichhorn and J. Voeller, Theory of the Price Index. X, 196 pages. 1979. Fisher's Test Approach and Generalizations. VII, 95 pages. 1976. Vol. 168: Convex Analysis and Mathematical Economics. Proceedings Vol. 141: Mathematical Economics and Game Theory. Essays in Honor 1978. Edited by J. Knens. V, 136 pages. 1979. of Oskar Morgenstern. Edited by R. Henn and O. Moeschlln. XIV, 703 pages. 1977. Vol. 169: A. Rapoport et aI., Coalition Formation by Sophisticated Players. VII, 170 pages. 1979. Vol. 142: J. S. Lane, On Optimal Population Paths. V, 123 pages.1977. Vol. 143: B. Naslund, An Analysis of Economic SIZe Distributions. Vol. 170: A. E. Roth, Axiomatic Models of Bargaining. V, 121 pages. XV, 100 pages. 1977. 1979. Vol. 144: Convex Analysis and Its Applications. Proceedings 1976. Vol. 171: G. F. Newell, ApprOXimate Behavior of Tandem Queues. XI, Edited by A. Auslender. VI, 219 pages. 1977. 410 pages. 1979. Vol. 145: J. RosenmUller, Extreme Games and Their Solutions. IV, Vol. 172: K. Neumann and U. Steinhardt, GERT Networks and the 126 pages. 1977. Time-Oriented Evaluation of Projects. 268 pages. 1979. Vol. 146: In Search of Economic Indicators. Edited by W. H. Strigel. Vol. 173: S. Erlander, Optimal Spatial Interaction and the Gravity XVI, 198 pages. 1977. Model. VII, 107 pages. 1980. Vol. 147: Resource Allocation and D,v,s,on of Space. Proceedings. Vol. 174: Extremal Methods and Systems Analysis. Edited by A. V. Edited by T. Fujii and R. Sato. VIII, 184 pages. 1977. Fiacco and K. O. Kortanek. XI, 545 pages. 1980. Vol. 148: C. E. Mandl, Simulationstechnik und Simulationsmodelle Vol. 175: S. K. Srinivasan and R. Subramanian, Probabilistic Analysis in den Sozial· und Wirtschaftswlssenschaften. IX, 173 Selten. 1977. of Redundant Systems. VII, 356 pages. 1980. Vol. 149: Statlonare und schrumpfende Bevolkerungen: Demogra Vol. 176: R. Fare, Laws of Diminishing Returns. VIII, 97 pages. 1980. phisches Null· und Negatlvwachstum in Osterreich. Herausgegeben von G. Feichtinger. VI, 262 Seiten. 1977. Vol. 177: Multiple Criteria Decision Making-Theory and Application. Proceedings, 1979. Edited by G. Fandel and T. Gal. XVI, 570 pages. Vol. 150: Bauer et aI., Supercritical Wing Sections III. VI, 179 pages. 1980. 1977. Vol. 178: M. N. Bhattacharyya, Comparison of Box-Jenkins and Bonn Vol. 151: C. A SchneeweiB, Inventory-Production Theory. VI, 116 pages. Monetary Model Prediction Performance. VII, 146 pages. 1980. 1977. Vol. 152: Kirsch et aI., Notwendige Optimalitatsbedingungen und Vol. 179: Recent Results in Stochastic Pro9ramming. Proceedings, ihre Anwendung. VI, 157 Seiten. 1978. 1979. Edited by P. Kall and A. Prekopa. IX, 237 pages. 1980. Vol. 153: Kombinatorische Entscheidungsprobleme: Methoden und Vol. 180: J. F. Brotchie, J. W. Dickey and R. Sharpe, TOPAZ - General Anwendungen. Herausgegeben von 1. M. Liebling und M. Rossler. Planning Technique and its Applications at the Regional, Urban, VIII, 206 Selten. 1978. and Facility Planning Levels. VII, 356 pages. 1980. Vol. 154: Problems and Instruments of BUSiness Cycle Analysis. Vol. 181: H. D. Sherali and C. M. Shetty, Optimization with Disjunctive Proceedings 1977. Edited by W. H. Strigel. VI, 442 pages. 1978. Constraints. VIII, 156 pages. 1980. Vol. 155: Multiple Criteria Problem Solving. Proceedings 1977. Edited Vol. 182: J. Wolters, Stochastic Dynamic Properties of Linear Eco by S. Zionts. VIII, 567 pages. 1978. nometric Models. VIII. 154 pages. 1980. Vol. 156: B. Naslund and B. Sellstedt, Neo-Rlcardian Theory. With Vol. 183: K. Schittkowski, Nonlinear Programming Codes. VIII, 242 Applications to Some Current Economic Problems. VI, 165 pages. pages. 1980. 1978. continuation on page 177 Lectu re Notes in Economics and Mathematical Systems Managing Editors: M. Beckmann and W. Krelle 271 Clifford Hildreth The Cowles Commission in Chicago, 1939-1955 Springer-Verlag Berlin Heidelberg New York London Paris Tokyo editorial Board H.Albach M. Beckmann (Managing Editor) P. Dhrymes G. Fandel J. Green W. Hildenbrand W. Krelle (Managing Editor) H. P.K unzi G. L. Nemhauser K. Ritter R. Sato U. Schinko P. SchOnfeld R. Selten Managing Editors Prof. Dr. M. Beckmann Brown University Providence, RI 02912, USA Prof. Dr. W. Krelle Institut fUr Gesellschafts- und Wirtschaftswissenschaften der Universitlit Bonn Adenauerallee 24-42, 0'5300 Bonn, FRG ."""" Prof. Clifford Hildreth University of Minnesota, Department of Economics 1035 Management and Economics 271 19 Avenue South, Minneapolis. Minnesota 55455. USA ISBN-13: 978-3-540-16774-7 e-ISBN-13: 978-3-642-61644-0 001: 10.1007/978-3-642-61644-0 This work is subject 10 copynght. All rights .re reserved, whether the whole or psr1 of the material is concerned, speci~cally those of translation, reprinting, re·use 01 iMustratioos, broadcasting, reproduction by photocopying machine or similar meal'ls. and storage in d." bank •. Under § 54 01 the Gennan Copyright Law where copies are made lor o1her than p!'Nate use, a lee is psyable to ·VllfW'8rtungsgeselischaft Wort", Munich. C Springer.vertag Berlin Heidelberg 1996 Sohcover reprint of the hardcover 1st edition 1986 21-42131-4().5-43210 PREFACE The author is indebted to the Alfred P. Sloan Foundation and to the Graduate School of the University of Minnesota for financial aid. This permitted visits with quite a few old Cowlespeople, reproduction of documents, and some reduction in teaching commitments. The many who responded with information and suggestions cannot be blamed for the shortcomings of the book. Faculty and staff at the Cowles Foundation were particularly helpful. Dori Clifton, Business Manager, and Karlee Gifford, Librarian, were always resourceful in locating people and documents. Michael Intrilgator, Leonid Hurwicz, and Martin Beckmann fur- nished perceptive comments on an earlier draft. Intriligator also obtained my access to the Marschak archives at UCLA. Wendy Williamson, the librarian at the Jacob C. Schmookler Library at the University of Minnesota cheerfully and efficiently handled lots of (sometimes vague) requests for reference materials and produced neat and timely drafts from very trying scratchpaper. Appropriate parts of my correspondence and some copies of documents will be placed in a Cowles Commission archive at the Cowles Foundation, Vale University. The concept of identification is treated in more detail than others because it was clarified and developed almost exclusively at the Commission during the period reported. Readers interested in general notions may want to omit Sections 2.2.3 through 2.2.5 in a first reading. TABLE OF CONTENTS Pref ace .••..••••••..••..•.•..•..••.•...•...•...••.•.. iii 1. Introduction 1 2. Simultaneous Equations ••••••••••••••••••••••••••••••••••••• 14 2.1 The Probability Approach •••••••••••••••••••••••••••••• 14 2.2 Identification •••••••••••••••••••••••••••••••••••••••• 24 2.2.1 Abstract Identification •••••••••••••••••••••••••• 24 2.2.2 Identification in Probability Models ••••••••••••• 26 2.2.3 Parametric Models •••••••••••••••••••••••••.•••••• 28 2.2.4 Linear Shock Models with Linear Constraints •••••• 30 2. 2. 5 Other Resul t s •••••••••••••••••••••••••••••••••••• 42 2.3 Estimation and Testing •••••••••••••••••••••••••••••••• 45 2.3.1 Estimates •••••••••••••••••••••••••••••••••••••••• 45 2.3.2 Tests •••••••••••••••.•••••••••••.•••••••••••••••• 53 2.4 Applications •••••••••••••••••••••••••••••••••••••••••• 56 2.4.1 Illustrative Applications •••••••••••••••••••••••• 56 2.4.2 Klein Models ••••••••••••••••••••••••••••••••••••• 58 2.4.3 Small Sectors •••••••••••••••••••••••••••••••••••• 62 ................................ 2.5 Theory and Measurement 66 3. Activity Analysis •••••••••••••••••••••••••••••••••••••••••• 73 3.1 Hi stori c.al Sketch ...........•.••..••.••.•.•.......•... 73 3.2 I~ac:ts •••••••••.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•.•. 80 3.2.1 Managellll!lnt 81 3.2.2 EQui 1 i br i Uti •••••••••••••••••••••••••••••••••••••• 85 4. ReI ated Topi cs ••••••••••••••••••••••••••••••••••••••••••••• 92 4.1 Soci al Choi ce ••••••••••••••••••••••••••••••••••••••••• 92 4.2 Decisions Under Uncertainty ••••••••••••••••••••••••••• 97 4.3 Organization Theory, Teams, Decentralization ••••••••• 104 ...................................... 5. Further Observations 111 ......................................... 5.1 Econometrics 111 5.2 Mathematical EcononclDi c.s ••••••••••••••••••••••••••••• 117 Appendix I. A Discussion of Non-experimental Data and Matrix Co~utation •••••••••••••••••••••••••••••••••••••• 121 Appendix II. Residents at the Cowles Commission, 1939-1955 and Cowles Commission MonographS, 1934-1955 •••••• 132 .................................................... References 138 ......................................................... Index 164 CHAPTER 1 INTRODUCTION The Cowles Comnnssion for Research in Economics was founded in Colorado Springs, Colorado in 1932 and moved to the University of Chicago in 1939. In 1955, the Commission was reorganized as the Cowles Foundation for Research in Economics and moved to its present home at Yale University. The founder, Alfred Cowles, president of an investment counsel ing firm, had become strongly interested in economic research while studying the generally unimpressive records of stock market fore casters (Cowles 1933; Christ 1952, p. 12,13). He was referred by friends to Harold T. Davis, Professor of Mathematics at Indiana UniverSity and a sumner visitor in Colorado Springs. Besides offer ing computing advice, Davis put Cowles in touch with Irving Fisher and Charles F. Roos who had recently (1930) joined with others to organize the Econometric Society. Ensuing discussions also involved other economic statisticians. Arrangements that the Society would sponsor a research commission financed mainly by Cowles and that Cowles would underwrite the cost of publishing a Society journal, Econometrica, resulted. An Advisory Council for the Cowles Commission was appointed from the Econometric Society. The ...oers were Fisher, Ragnar Frisch, Arthur L. Bowley, Wesley C. Mitchell, and Carl Snyder. The Commission and the Society shared administrative offices until separated at Vale in 1955. Carl Christ (1952) has written an excellent account of these developments and the subsequent history of the Comndssion to 1952. The Colorado years (1932-9) saw preparation of the first five Cowles Commission Monographs (see list on page 136), publication of an influential statistics textbook by Davis and W.C. Nelson, and a 2 series of stimulating summer conferences. Each summer starting in 1935, leaders of the emerging econometrics profession from various locations in United States and Europe joined the Cowles staff in several weeks of discussion of research problems and results. When the Commission's first Director of Research, Charles F. Roos, resigned in 1937, the search for an outstanding successor was complicated by the remoteness of Colorado Springs from other princi pal centers of econometric activity. Ground transportation was very expensive of one's time in the 1930's. The possibility of relocat ing at a major university was considered and mutually promising arrangements with the University of Chicago were concluded by 1939. Remaining chronology is interesting and is welt covered by Christ (to 1952) and by a series of Cowles Commission annual reports starting in 1940. These are available in a number of economics libraries and a complete set is kept at the Cowles Foundation. The purpose of the present book is to review ideas developed at the Commission in the Chicago period and to briefly relate these to general economic and econometric thinking. Chronology and person alities will occasionally enter but, except for this brief introduc tion, will not be e.phasized. Attention will pri.arily be on work of the years 1943-55 encompassing the directorships of Jacob Marschak (until 1948) and Tjalling C. Koopmans. Important work was done from 1939 to 1943, but there were fre quent interruptions - leaves to do war work, organizational shifts, etc. (see Christ 1952, p. 22-5). Theodore Vntema, Director of Research, was called to important assignments with the Defense Commission in 1940 and the War Shipping Administration in 1942. Later in 1942, Yntema resigned to organize studies of post-war employment problems for the Co.-itt. . on Economic Development. 3 A crucial turn came with Marschak's appointment as Professor in the Economics Department and Director of Research of the Cowles Com mission early in 1943. Knowing Jacob (or Jascha) Marschak even briefly quickly revealed that any kind of group in which he was included would have to be a lively group. Fortunately, the inquisi tive, unpretentious, perceptive, and persistent yet cordial tone that characterized Marschak has been partially preserved in bio graphical materials, e.g., Hirshleifer and Marschak (1978), Arrow (1978a, 1 978b , 1979), Klein (1978), Koop. .n s (1978), Radner (1978). Marschak was born in Kiev, capital of the Ukraine, in 1898. As a Russian Jew he was refused admission to the Gywnasium and studied with governesses and at the Kiev School of Technology. He bee a .. a Marxist of the Menshevik faction and was briefly i~risoned before being liberated by the overthrow of the monarchy in February, 1917. He then served in a democratic government in the northern Cauasus. It resisted the Bolsheviks until June, 1918. Following a brief return to Kiev, Marschak decided to study economics in Germany. After six months at the University of Berlin he went to the Univer sity of Heidelberg, receiving his Ph.D. in 1922. He was an economics reporter for the Frankfurter Zeitung from 1924 to 1926 and visited England on a Rockefeller Fellowship in 1927. Having developed a primary interest in academic study, Marschak joined the staff of Kiel's Institute for World Economics in 1928 and moved to Heidelberg as Privatdozent in 1930. By 1933, forebodings about Nazi rule led him to seek a new location. By then his writings in econometrics and in macroeconowQcs (some economists attribute the term to Marschak) were sufficiently well known to help him secure a lectureship at All Soul's College, Oxford. In 1935 he was made Director of the Oxford Institute of Statistics. 4 Marschak was visiting United states on another Rockefeller Fellowship in 1938-39. With the onset of World War II, his family joined him and he accepted a professorship at the New School for Social Research in New York. Through the National Bureau of Economic Research he also organized a seminar on theoretical and applied econometrics which attracted most of the practiCing econometricians of the New York-New England area (see p. 46). Thus Marschak brought to the Commission a rich background of study and experience in add ition to his vital personal qualities. Circumstances at the University of Chicago in 1943 presented a very favorable opportunity for the developmant of economic research. The high intellectual goals and achievements of the Econo~cs Depart ment (Reder 1982) and the University (Murphy and Bruckner 1976) were world renowned and the Department was still ascending. The University was a citadel of freedom with intolerance of nonsense one of the few proscriptions. Of course, nonsense and innovation are sometimes hard to distinguish but the Chicago effort was, and is, sincere. Recruiting opportunities were unprecendented because outstanding European scholars came to the United States as refugees or were attracted by the belief that America would be the most effective place to work, e.g. see Weintraub (1983), pp. S-21. Another distinct advantage was that Alfred Cowles had relocated to Chicago. His con tinuing deep interest in the work, continued financial support, and policy of noninterference except when called upon were vital to the stability of the Commission. His advice was need~ on several occa sions and he sometimes played a key role in explaining the nature of the Commission to others. By 1942, Cowles' financial support was supplemented by modest grants from the Social Science Research Comndttee of the University 5 of Chicago, the Rockefeller Foundation, and the National Bureau of Economdc Research. Free use of University facilities was an impor tant additional contribution. Significant part-time appointments of Chicago faculty had also been made - in addition to Ynte. . there were Joel Dean, H. Gregg Lewis, Jacob Mosak, and Oscar Lange. While a splendid opportunity existed, there were limitations. Total financial resources from the several sources were not largeJ the Commission was unable to offer faculty status to Research Asso ciates until 1949; living in the University area was difficult; thefts and assaults were common. There is some disagreement among participants and observers regarding the extent to which predisposi tions in the Department of Economics at Chicago .ay have been a handicap to the Cowles Conmnssion. I cannot be very helpful on this. The achievements of both the Commission and the Department belie the possibility that either was an overwhelming handicap to the other. On the other hand, extensive collaboration did not develop. Fortunately, there was extensive cross attendance at seminars, and sharp differences of judgement sometimes emerged between members of the Economics Department, between members of the Cowles Commission, or between someone pri.arily associated with the Department and someone primarily associated with the Conmdssion. I recall (ay period at Chicago was 1949-53) two distinctive features of the last-mentioned. They tended to occur repeatedly with respect to certain topics (e.g. realism as a possible desirable property of models, involuntary nature of some econowdc circumstances) and efforts at resolution did not generally proceed as automatically or smoothly as in the other cases. However, I found senior people in both groups quite anxious to furnish constructive leads when approached with problems in their domains. My conclusion is that each group benefited

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