S. N. Afriat CV 2010
I
CV and Bibliography
II
Lists of bibliographic and other items
related to different subject areas
III
Short CV &c
1
2
3
4
Short CV
Monographs/Books
Selected papers
Preparation
I: CV and Bibliography
Sydney Afriat
Piazza dell’Abbadia, 4
53100 Siena, Italy
+39 0577 289322
+39 339 417 8518
s.afriat@gmail.com
http://www.econ-pol.unisi.it/~afriat/
Università di Siena, Visiting Professor
Dipartimento di Economia Politica
Piazza S. Francesco, 7
53100 Siena, Italy
+39 0577 232 620, fax 232 661
ecopol@unisi.it, http://www.econ-pol.unisi.it
Education
Mill Hill School 1939-43
Pembroke College, Cambridge, 1943-45, 1946-49
Exhibitioner in Mathematics
BA (Math & Nat Sci) 1945 (Hons 1947, Dist 1949, MA 1950)
The Queen’s College, Oxford, 1950-53, MA 1950, DPhil 1954
Thesis: “Theory of Matrices and Applications”
Supervisor: Dr W. L. Ferrar, President, Hertford College
Professional experience
Graduated in mathematics from Pembroke College, Cambridge, with a
period during World War II in the High Speed Section, Aerodynamics
Division, National Physical Laboratory, then DPhil at the Queen’s
College, Oxford. Work with Richard Stone in the Department of Applied
Economics, Cambridge, 1953-56, initiated activity in economics. After
1956-58 as Lecturer and Research Fellow in Mathematics, Jerusalem,
years 1958-62 were in Princeton. Then Economics and Mathematics at
Rice University, Houston, and Visiting Fellow at Yale. Beside Purdue,
UNC, Waterloo and Ottawa the later time includes intervals at
Mathematical Sciences Research Institute, Berkeley, Visiting Fellow, All
Souls College, Oxford, Izaak Walton Killam Memorial Fellow, Academic
Visitor, London School of Economics, Visiting Fellow, Macquarie
University NSW, Visiting Professor, Institute of Social and Economic
Research, Osaka, Professor, Bilkent University, Ankara, Visiting
Professor, University of Siena, and Jean Monnet Fellow, European
University Institute, San Domenico di Fiesole/Firenze; otherwise in UK
and Italy; author of books and articles to do with mathematics and
economics beside scattered other items.
Other activities
Principal Investigator, US National Science Foundation, 1963-67, 196871.
Investigator, Great Lakes Systems Model, Office of Water Resources
Research, US Department of the Interior, 1967.
Principal Investigator, Natural Sciences and Engineering Reseach
Council of Canada, 1971-73, 1973-76, 1976-78, 1978-81, 1981-82.
Principal Investigator, Canada Council, 1975-77.
Social Science Federation of Canada, Publication Grant, 1979.
Principal Investigator, Social Sciences and Humanities Research Council,
1981-86, 1987-89.
Research Assistant, Personnel Department, age-grade distribution study,
Imperial Chemical Industries, 1949.
Research Assistant to J. R. Bellerby, Director, Agriculture and Industry
Inquiry, Agricultural Economics Research Institute, Oxford, 1950-53.
Working Group on Energy and Society, University of Waterloo, 1972-74.
PhD Student Advisor, Mathematics, Lehigh University, Pennsylvania,
1974-76.
Consultant, National Institute of Statistics and Applied Economics
(INSEA), Rabat, Morocco, for Canadian International Development
Agency (CIDA), 1974-75.
Consultant, Economic Council of Canada, for Government of Canada
Interdepartmental Project on Consumers’ Expenditures and Inflation,
1975-77.
Consultant, Government of Canada Department of Public Works, Policy
Research Group, 1975.
Selection Committee, Canada Council Doctoral Fellowship Competition;
Economics, Business Administration and Mathematics; 1976-77.
Participant, CBC National News Programme on the Canadian CPI, June
1977.
Reviewer, Zentralblatt für Mathematik, 1968-73, 1979- .
Editorial Board, Mathematical Systems in Economics monographs,
Verlag Anton Hain, from 1973.
Reviewer Mathematical Reviews from 1975.
Examiner, Board of the Faculty of Social Sciences, University of Oxford,
1982; D Phil Thesis by Yasumi Matsumoto “Choice Functions:
Preference, Consistency and Neutrality”; Supervisor: Prof. Amartya
Sen.
Advisory Board, Journal of Productivity Analysis, from 1986.
Consultant, Forintek Canada Corporation, Ottawa, 1986-87;
Bioconversion Program, process modelling and economic analysis.
Test Team, Lotus Development Corporation, Cambridge Mass., 1989-90.
Consultant, International Development Research Centre (IDRC), Ottawa,
1991; The Price Index Under Conditions of Hyperinflation—with
particular reference to Peru.
External Examiner, Department of Mathematics and Statistics, Queen's
University, Kingston, April 1991; PhD Thesis by C.F.Y. Wong “A
Non-classical First Order Logical System for Deductive Reasoning”.
Supervisor Prof J. A. Robinson.
Consultant, International Economics Department, Socio-Economic Data
Division, The World Bank, 1994; High Inflation Measurement
Problems—differential impacts of inflation on various income and
geographical groups in an economy.
Member Scientific Committee, European Service Economic Forum
(ESEF), 2007-8.
Fellow, Cambridge Philosophical Society, Econometric Society.
Languages, English, fair French and Italian, some Arabic, Hebrew,
Turkish.
Monographs/books
Theory of Matrices and Applications. DPhil Thesis, University of
Oxford, Trinity Term, 1953; copy in the Bodleian Library.
Production Duality and the von Neumann Theory of Growth and
Interest. Meisenheim am Glan: Verlag Anton Hain, 1974. Pp. 86.
Studies in Correlation: Multivariate Analysis and Econometrics (with
Gerhard Tintner and M. V. Rama Sastry). Göttingen: Vandenhoeck
and Ruprecht, 1975. Pp. 150. (Contributing Part I: The Algebra and
Geometry of Statistical Correlation. Pp. 100). Angewandte Statistik
und Ökonometrie.
Combinatorial Theory of Demand. London: Input-Output Publishing
Co., 1976. Pp. 28. Occasional Paper No. 1.
The Price Index. Cambridge University Press, 1977. Pp. 203. Reprinted
September 1978.
Demand Functions and the Slutsky Matrix. Princeton University Press,
1980. Pp. 275. Princeton Studies in Mathematical Economics, 7.
The Ring of Linked Rings. London: Gerald Duckworth & Co Ltd, 1982.
Pp. 144. (Mathematical and computer recreations, theory and history
of Chinese Rings, and its various manifestations, binary dividers,
Lucas’s Tower problem, error correcting code, Dragon Curves, &c.)
Logic of Choice and Economic Theory. Oxford: Clarendon Press, 1987.
Pp 592. (Available from Print on Demand, the OXFORD scholarship
online (OSO) programme, see www.oup.com/uk/osodemo.)
Linear Dependence: Theory and Computation. London and New York:
Kluwer / Plenum, 2000. Pp. xiii +169. http://www.wkap.nl/prod/b/0-306-46428-4
The Market: Equilibrium, Stability, Mythology. Foreword by Michael
Allingham. London & New York: Routledge, 2002. Pp. xv +128.
Routledge Frontiers of Political Economy No. 44
The Price Index and its Extension—A Chapter in Economic
Measurement. Foreword by Angus Deaton. London & New York:
Routledge, 2004. Pp. xxx + 421. Routledge Frontiers of Political
Economy No. 65.
on the River Non. Foreword by Paolo Vivante. Empoli (FI): Ibiskos di
A. Ulivieri, 2006. Pp. xvi + 33. (Twenty-four poems, one
watercolour, graphic outputs from QuickBASIC programs, and other
items.)
Economics and the Price Index. With Carlo Milana. Foreword by Angus
Deaton. London & New York: Routledge, 2008,
sul fiume Non / on the River Non. Second edition with translation into
Italian by Anna Maria Cipriani (Italian Embassy, London), translator
of Charles Van Doren A history of knowledge, Past, Present, and
Future / Storia della conoscenza. Gli eventi, le persone e le conquiste
fondamentali, Roma: Armando 2006. Empoli (FI): Ibiskos di A.
Ulivieri, 2009 Pp. xxvi + 94.
What Happened to the Population Problem?—and other questions.
About what happened to the Problem the last half-century—and
unsettled economics. www.authorsonline.co.uk, 2009.
.
Chapters in volumes
A Formula for Ranging the Cost of Living. In Recent Advances in
Mathematical Programming, Proceedings of the Chicago Symposium,
1962, edited by R.L. Graves and P. Wolfe. New York: McGraw Hill,
1962.
The Cube. In Art Has Many Facets, edited by J. MacAgy, Fine Arts
Department, University of St. Thomas, Houston, Texas, 1963.
Regression and Projection. In Economic Models, Estimation and Risk
Programming: Essays in Honor of Gerhard Tintner, edited by Karl
A. Fox, B. V. L. Narashimham, and Jati K. Sengupta, Chapter 12:
277-301. Berlin: Springer-Verlag, 1969.
The Cost of Living Index. In Studies in Mathematical Economics in
Honor of Oskar Morgenstern, edited by Martin Shubik, Chapter 23:
335-65. Princeton University Press, 1967.
The Theory of International Comparisons of Real Income and Prices. In
International Comparisons of Prices and Output, Proceedings of the
Conference at York University, Toronto, 1970, edited by D. J. Daly.
National Bureau of Economic Reasearch, Studies in Income and
Wealth Volume 37, New York, 1972. (Ch. I, 13-84).
Reservations about Market Sovereignty: Four Notes. In Policy Formation
in an Open Economy, edited by R. A. Mundell, Proceedings of the
Policy Formation : Canada Conference, University of Waterloo, 1114 November, 1972. Waterloo Research Institute, 1974.
Collective Decision and Optimality. Theory and Measurement of the
Demand for Public Services: International Seminar on Public
Economics, Siena, Italy, 3-6 September, 1973. ISPE, Department of
Economics, Harvard University.
Production Duality. In Production Theory, edited by W. Eichhorn, R.
Henn, O. Opitz and R. W. Shephard. International Seminar on
Production Theory, Karlsruhe, May-July 1973. Berlin: SpringerVerlag, 1974.
On Wald’s “New Formula” for the Cost of Living. In Theory and
Application of Economic Indices, edited by W. Eichhorn, R. Henn, O.
Opitz, R. W. Shephard. Proceedings of an International Seminar at
the University of Karlsruhe, 23 June - 1 July, 1976. Würzburg:
Physica-Verlag, 1978.
On the Constructibility of Consistent Price Indices Between Several
Periods Simultaneously. In Essays in Theory and Measurement of
Demand: in honour of Sir Richard Stone, edited by Angus Deaton.
Cambridge University Press, 1981. Pp. 133-61.
The True Index. In Demand, Equilibrium and Trade: Essays in Honour of
Ivor F. Pearce, edited by A. Ingham and A. M. Ulph. London:
Macmillan, 1984. pp. 37-56.
An Algorithm for Von Neumann's Economic Model. In Robert Grone and
Frank Uhlig (Eds.), Current Trends in Matrix Theory: Proceeding of
the Third Auburn Matrix Theory Conference, Auburn University,
Alabama, 19-22 March 1986, 3-22. North-Holland, 1987.
Efficiency in Production and Consumption. In Applications of Modern
Production Theory: Efficiency and Productivity, edited by Ali
Doğramaçı and Rolf Färe. Boston: Kluwer-Nijhoff, 1988.
Lagrange Multipliers. In The New Palgrave: a Dictionary of Economic
Theory and Doctrine, edited by John Eatwell, Murray Milgate and
Peter Newman. Macmillan, 1988.
Fisher’s Test Approach to Index Numbers (with N. Jazairi). Encyclopedia
of Statistical Sciences, edited by S. Kotz and Norman L. Johnson. ohn
Wiley & Sons, 1988.
Von Neumann's Economic Model. In Von Neumann and Modern
Economics, edited by S. Chakravarty, M. H. I. Dore and R. Goodwin.
Oxford: Clarendon Press, 1989.
McKenzie and the Slutsky coefficients. In William Thomson (Ed.),
General Equilibrium and Growth: The Legacy of Lionel McKenzie.
Proceedings of the Conference at the University of Rochester.
Academic Press, 1994.
Sraffa’s prices. Sraffa o un’altra economia: Convegno Internationale su
Piero Sraffa (1898-1893) nel ventennale delle morte, Università di
Roma “La Sapienza”, 12-13 December 2003. In Sraffa or An
Alternative Economics edited by Guglielmo Chiodi and Leonardo
Ditta, Palgrave Macmillan, 2008.
Preparation
Choice and Preference : Demand and Utility
Papers, published and unpublished, about choice theory and different
approaches dealing with the connection between demand and utility,
‘non-parametric’ methods and related items.
Combinatorial Linear Algebra and Convexity—Economic and
other Applications.
NONPLUS—fragments : an accident in biography
The Index Number Problem
Bibliography
The quadratic form positive definite on a linear manifold. Proc.
Cambridge Phil. Soc. 47, 1 (1951), 1-6.
Bounds for the characteristic values of matrix functions. Quart. J. Math.
Oxford 2 (1951), 81-4.
An iterative process for the numerical determination of characteristic
values of certain matrices. Quart. J. Math. Oxford 2 (1951), 121-2.
The rank and multiplicity theorem for the reduction of quadratic forms.
Math. Gazette 37, 319 (1953), 27-8.
Theory of Matrices and Applications. DPhil Thesis, University of
Oxford, Trinity Term, 1954; copy in the Bodleian Library.
Symmetric matrices, quadratic forms, and
Publicationes Mathematicae 3 (1954), 305-8.
linear
constraints.
Composite matrices. Quart. J. Math. Oxford 2 (1954), 81-98.
On the latent vectors and characteristic values of products of pairs of
symmetric idempotents. Quart.J. Math. Oxford 2, 7 (1956), 76-8.
Simultaneous linear differential equations with constant coefficients.
Proc. Cambridge Phil. Soc. 52, 2 (1956), 209-12.
The aproach to scalar growth of a vector transformed by an increasing
power of a matrix. Proc. Cambridge Phil. Soc. 53, 2 (1956), 213-4.
On the definition of the determinant as a multilinear antisymmetric
function. Publicationes Mathematicae 5 (1957), 38-9.
Orthogonal and oblique projectors and the characteristics of pairs of
vector spaces. Proc. Cambridge Phil. Soc. 53, 4 (1957), 800-16.
Analytic function of finite dimensional linear transformations. Proc.
Cambridge Phil. Soc. 55, 1 (1959), 51-61.
Preference Scales and Expenditure Systems. Research Memorandum No.
13 (March 1960), Econometric Research Program, Princeton
University. Econometrica 30 (1962), 305-23.
The System of Inequalities ars  xs  xr . Research Memorandum No. 18
(October 1960), Econometric Research Program, Princeton
University. Proc. Cambridge Phil. Soc. 59 (1963), 125-33.
Gradient Configurations and Quadratic Functions. Research
Memorandum No. 20 (January 1961), Econometric Research
Program, Princeton University. Proc. Cambridge Phil. Soc. 59
(1963), 287-305.
The Validity of the Expected Utility Hypothesis. In Recent Advances in
Game Theory, Proceedings of the Princeton University Conference,
4-6 October, 1961, edited by M. Maschler. Reprinted in
Metroeconomica 20, 1(1968), 63-72.
A Formula for Ranging the Cost of Living. In Recent Advances in
Mathematical Programming, Proceedings of the Chicago Symposium,
1962, edited by R.L. Graves and P. Wolfe. New York: McGraw Hill,
1962.
The Cube. In Art Has Many Facets, edited by J. MacAgy, Fine Arts
Department, University of St. Thomas, Houston, Texas, 1963.
An Identity Concerning the Relation between the Paasche and Laspeyres
Indices. Metroeconomica 15, 2-3 (1963), 136-40.
The Method of Limits in the Theory of Index Numbers. Joint European
Conference of the Institute of Mathematical Statistics and the
Econometric Society, Copenhagen, July 1963. Metroeconomica 21, 2
(1969), 141-65.
On Bernoullian Utility for Goods and Money. Metroeconomica 15, 1
(1963), 38-46.
The Construction of Utility Functions from Expenditure Data. Cowles
Foundation Discussion Paper No. 144 (October 1964), Yale
University. First World Congress of the Econometric Society, Rome,
September 1965. International Economic Review 8, 1 (1967), 67-77.
The Equivalence in Two Dimensions of the Strong and Weak Axioms of
Revealed Preference. Metroeconomica 17, 1-2 (1965), 24-8.
People and Population. World Politics 17, 3 (April 1965), 431-9.
ABSTRACT IN INTERNATIONAL POLITICAL SCIENCE ABSTRACTS, UNESCO.
Japanese translation with foreword by Ambassador Edwin O.
Reischauer: Japan-America Forum 11, 10 (October 1965), 1-28.
Economic Transformation. In Economia Matematica, edited by Bruno de
Finetti. Rome: Edizioni Cremonese (1967), 1-64.
Regression and Projection. In Economic Models, Estimation and Risk
Programming: Essays in Honor of Gerhard Tintner, edited by Karl
A. Fox, B. V. L. Narashimham, and Jati K. Sengupta, Chapter 12:
277-301. Berlin: Springer-Verlag, 1969.
The Cost of Living Index. In Studies in Mathematical Economics in
Honor of Oskar Morgenstern, edited by Martin Shubik, Chapter 23:
335-65. Princeton University Press, 1967.
The Theory of International Comparisons of Real Income and Prices. In
International Comparisons of Prices and Output, Proceedings of the
Conference at York University, Toronto, 1970, edited by D. J. Daly.
National Bureau of Economic Reasearch, Studies in Income and
Wealth Volume 37, New York, 1972. (Ch. I, 13-84).
The progressive support method for convex programming. 7th
Mathematical Programming Symposium, The Hague, 1970. J. Numer.
Anal. 7, 3 (1970), 44-57.
Theory of maxima and the method of Lagrange. J. Applied Math. 20, 3
(1971), 343-57.
The Output Limit Function in General and Convex Programming and the
Theory of Production. 36th National Meeting of the Operations
Research Society of America, Miami Beach, Florida, November l969.
Econometrica 39 (1971), 309-39.
Theory of Measurement by J. Pfanzagle. Econometrica 39, 3 (1971), 649.
Efficiency Estimation of Production Functions. Boulder Meetings of the
Econometric Society, September 1971. International Economic
Review 13, 3 (October 1972), 568-98.
The Case of the Vanishing Slutsky Matrix. Journal of Economic Theory
5, 2 (October 1972).
Reservations about Market Sovereignty: Four Notes. In Policy Formation
in an Open Economy, edited by R. A. Mundell, Proceedings of the
Policy Formation : Canada Conference, University of Waterloo, 1114 November, 1972. Waterloo Research Institute, 1974.
Collective Decision and Optimality. Theory and Measurement of the
Demand for Public Services: International Seminar on Public
Economics, Siena, Italy, 3-6 September, 1973. ISPE, Department of
Economics, Harvard University.
Production Duality. In Production Theory, edited by W. Eichhorn, R.
Henn, O. Opitz and R. W. Shephard. International Seminar on
Production Theory, Karlsruhe, May-July 1973. Berlin: SpringerVerlag, 1974.
On the rational canonical form of a matrix. Journal of Linear and
Multilinear Algebra 1 (1973), 185-6.
On a System of Inequalities in Demand Analysis: an Extension of the
Classical Method. International Economic Review 14, 2 (June 1973),
460-72.
A Theorem on Shadow Prices. Econometrica 41, 6 (1973), 1197-9.
Sum-symmetric matrices. Linear Algebra and its Applications 8 (1974),
129-40.
The Effect of Education on Efficiency in Consumption by Robert T.
Michael. Monthly Labour Review 97, 1 (January 1974), 86-7.
Measurement of the Purchasing Power of Incomes with Linear Expansion
Data. Journal of Econometrics 2, 3 (1974), 343-64.
On
Hansson's Democratic Neutrality. Discussion Paper 7407
(September), Department of Economics, University of Ottawa.
Atlantic Economic Review 3,2 (November 1975), 18-21.
Democratic Order Functions. Discussion Paper 7414 (November),
Department of Economics, University of Ottawa. Atlantic Economic
Review 3, 2 (1975), 13-8.
On Wald’s “New Formula” for the Cost of Living. In Theory and
Application of Economic Indices, edited by W. Eichhorn, R. Henn, O.
Opitz, R. W. Shephard. Proceedings of an International Seminar at
the University of Karlsruhe, 23 June - 1 July, 1976. Würzburg:
Physica-Verlag, 1978.
Production Duality and the von Neumann Theory of Growth and
Interest. Meisenheim am Glan: Verlag Anton Hain, 1974. Pp. 86.
The Purchasing Power of Incomes. Annals of Economic and Social
Measurement 4, 1 (Winter 1975), 199-200. Special Issue on
Consumer Demand, Proceedings of the National Bureau of Economic
Research Conference, NBER West Coast Center, Palo Alto,
California, 2-3 May, 1974.
Studies in Correlation : Multivariate Analysis and Econometrics (with
Gerhard Tintner and M. V. Rama Sastry). Göttingen: Vandenhoeck
and Ruprecht, l975. Pp. 150. (Contributing Part I: The Algebra and
Geometry of Statistical Correlation. Pp. 100.) Angewandte Statistic
und Ökonometrie.
Combinatorial Theory of Demand. London: Input-Output Publishing
Co., 1976. Pp. 28. Occasional Paper No. 1.
Slutsky and Frobenius. Zeitschrift für Nationalökonomie 37, 3-4 (1977),
307-22.
Mathematical Theory of Expanding and Contracting Economies by Oskar
Morgenstern and Gerald L. Thompson. KYKLOS 30, 3 (1977), 562-4.
The Price Index. Cambridge University Press, 1977. Pp. 203. Reprinted
September 1978.
Index Numbers in Theory and Practice by R. G. D. Allen. Canadian
Journal of Economics 11, 2 (May 1978), 367-9.
Theory of the Price Index: Fisher's Test Approach and Generalizations by
Wolfgang Eichhorn and Joachim Voeller. Journal of Economic
Literature 16 (March 1978), 129-30.
Demand Functions and the Slutsky Matrix. Princeton University Press,
1980. Pp. 275. Princeton Studies in Mathematical Economics, 7.
Graphic A-Mazes. Creative Computing 6, 6 (June 1980), 124-7.
On the Constructibility of Consistent Price Indices Between Several
Periods Simultaneously. In Essays in Theory and Measurement of
Demand: in honour of Sir Richard Stone, edited by Angus Deaton.
Cambridge University Press, 1981. Pp. 133-61.
The Ring of Linked Rings. London: Gerald Duckworth & Co Ltd, 1982.
Pp. 144. (mathematical and computer recreations, theory and history
of Chinese Rings, and its different manifestations, binary dividers,
Lucas's Tower problem, error correcting code, Dragon Curves, &c.)
The True Index. In Demand, Equilibrium and Trade: Essays in Honour of
Ivor F. Pearce, edited by A. Ingham and A. M. Ulph. London:
Macmillan, 1984. pp. 37-56.
An Algorithm for Von Neumann's Economic Model. In Robert Grone and
Frank Uhlig (Eds.), Current Trends in Matrix Theory: Proceeding of
the Third Auburn Matrix Theory Conference, Auburn University,
Alabama, 19-22 March 1986, 3-22. North-Holland, 1987.
Logic of Choice and Economic Theory. Oxford: Clarendon Press, 1987.
Pp 592.
(Available from Print on Demand, the OXFORD scholarship online
(OSO) programme, see www.oup.com/uk/osodemo.)
Efficiency in Production and Consumption. In Applications of Modern
Production Theory: Efficiency and Productivity, edited by Ali
Doğramaçı and Rolf Färe. Boston: Kluwer-Nijhoff, 1988.
Lagrange Multipliers. In The New Palgrave: a Dictionary of Economic
Theory and Doctrine, edited by John Eatwell, Murray Milgate and
Peter Newman. Macmillan, 1988.
Fisher’s Test Approach to Index Numbers (with N. Jazairi). Encyclopedia
of Statistical Sciences, edited by S. Kotz and Norman L. Johnson.
John Wiley & Sons, 1988.
Von Neumann's Economic Model. In Von Neumann and Modern
Economics, edited by S. Chakravarty, M. H. I. Dore and R. Goodwin.
Oxford: Clarendon Press, 1989.
On trade, and self-sufficiency. Research Paper No. 326 (April 1989),
School of Economic and Financial Studies, Macquarie University,
New South Wales. Equity and Efficiency in Economic Development:
Symposium in Honour of Benjamin Higgins. Canadian Institute for
Research in Regional Development, University of Moncton, New
Brunswick, 1992.
Theorems of the Market. Econometric Society European Meeting,
Uppsala, Sweden, 22-26 August, 1993.
McKenzie and the Slutsky coefficients. In William Thomson (Ed.),
General Equilibrium and Growth: The Legacy of Lionel McKenzie.
Proceedings of the Conference at the University of Rochester.
Academic Press, 1994.
High Inflation Measurement Problems. Invited presentation, National
Statistics Day, Prime Ministry of Turkey, State Institute of Statistics,
Ankara, 9-13 May, 1994. (World Bank project)
Market & Myth. 2nd International Conference, the Society for Social
Choice and Welfare, University of Rochester, New York, July 8-11,
1994.
Theorem of the Mean. European University Institute, Florence,
November, 1994.
Marginal saddle-values. International Conference on Game Theory and
Applications In Honor of Robert J. Aumann on his 65th Birthday,
The Hebrew University, Jerusalem, June 25-29, 1995.
The Connection Between Demand and Utility. Southern European
Association for Economic Theory (ASSET) Meeting, Boğaziçi
University, İstanbul, 20-21 October, 1995.
Revealed Preference Revealed. Society for the Advancement of
Economic Theory Conference on Economic Theory and Applications,
Antalya, Turkey, 16-21 June, 1996. Discussion Paper No: 98-7,
Department of Economics, Bilkent University, Ankara.
Lagrange Multipliers—revisited. Mathematics Department, Boğaziçi
University, İstanbul, 4 December, 1996.
Intergroup structure of inflation in Turkey. International Statistical
Institute, 51st Session, İstanbul, 18-27 August 1997. With Cengis
Erdoğan, State Institute of Statistics, Prime Ministry of Turkey.
Utility Construction—Revisited. Discussion Paper No:
Department of Economics, Bilkent University, Ankara.
98-15,
In the Economic Context: Concerning Efficiency. Symposium ‘On
Effectiveness’, Centre for Interdisciplinary Research on Social Stress,
San Marino (Republic of San Marino), 20-25 May 1999. Quaderno
No. 254 (May 1999), Department of Political Economy, University of
Siena.
Market Equilibrium and Stability. Quaderno No. 264 (September 1999),
Department of Political Economy, University of Siena.
Revealed Preference Revealed. Revised version: Quaderno No. 265
(October 1999), Department of Political Economy, University of
Siena.
The Connection between Demand and Utility. Quaderno No. 275
(December 1999), Department of Political Economy, University of
Siena.
Linear Dependence: Theory and Computation. London and New York:
Kluwer/Plenum, 2000. Pp. xiii +169.
The Market: Equilibrium, Stability, Mythology. Foreword by Michael
Allingham. London and New York: Routledge, 2002. . Pp. xv + 128.
Routledge Frontiers of Political Economy, 44
Sraffa’s prices. Sraffa o un’altra economia: Convegno Internationale su
Piero Sraffa (1898-1893) nel ventennale delle morte, Università di
Roma “La Sapienza”, 12-13 December 2003. In Sraffa or An
Alternative Economics edited by Guglielmo Chiodi and Leonardo
Ditta, Palgrave Macmillan, 2008.
The Price Index and its Extension: A Chapter in Economic
Measurement. Foreword by Angus Deaton. London and New York:
Routledge, 2004. Pp. xxx + 421. Routledge Frontiers of Political
Economy, 65.
on the River Non. Foreword by Paolo Vivante. Empoli (FI): Ibiskos di
A. Ulivieri, 2006. Pp. xvi + 33. (Twenty-four poems, one
watercolour, graphic outputs from QuickBASIC programs, and other
items.)
Economics and the Price Index. With Carlo Milana. Foreword by Angus
Deaton. London & New York: Routledge, 2008,
sul fiume Non / on the River Non. 2nd edition with translation into
Italian by Anna Maria Cipriani (Italian Embassy, London), translator
of Charles Van Doren A history of knowledge, Past, Present, and
Future / Storia della conoscenza. Gli eventi, le persone e le conquiste
fondamentali, Roma: Armando 2006.Empoli (FI): Ibiskos di A.
Ulivieri, 2009.. Pp. xxvi + 94.
What Happened to the Population Problem?—and other questions.
About what happened to the Problem the last half-century—and
unsettled economics. www.authorsonline.co.uk, 2009.
.
Available online, Quaderni, Department of Political
Economy, University of Siena
http://www.econ-pol.unisi.it/quad99.html:
No. 254 (May 1999), In the Economic Context: Concerning ‘Efficiency’.
No. 264 (September 1999), Market Equilibrium and Stability.
No. 265 (October 1999), Revealed Preference Revealed.
No. 275 (December 1999). The Connection between Demand and Utility.
http://www.econ-pol.unisi.it/quad2000.html:
No. 284 (March 2000). On Trade, and Self-sufficiency.
http://www.econ-pol.unisi.it/quaderni.html:
No. 446 (February 2005). The Tale of Two Research Communities: The
Diffusion of Research on Productive Efficiency. By Finn R. Førsund,
Department of Economics, University of Oslo, Norway, and Nikias
Sarafoglou, Department of Economics, Mid-Sweden University,
Sweden. With comment by Sydney Afriat.
No. 474 (March 2006). Sraffa’s Prices. Sraffa o un’altra economia:
Convegno Internationale su Piero Sraffa (1898-1893) nel ventennale
delle morte, Università di Roma “La Sapienza”, 12-13 December
2003. In Sraffa or An Alternative Economics edited by Guglielmo
Chiodi and Leonardo Ditta, algrave Macmillan, 2008.
II:
Subject Areas
III
Short CV &c
1
2
3
4
Short CV
Monographs/Books
Selected papers
Preparation
II
Subject Areas
Lists of bibliographic and other items of
activity related to different subject areas
1953-94
(A) Demand analysis: the ‘integrability problem’, Slutsky
coefficients, ‘revealed preference’ of Samuelson and
Houthakker.
(B) Demand analysis: finite, combinatoric, or ‘non-parametric’.
(C) Economic index numbers: the cost of living problem,
exact or true indices, price and marginal price indices,
inflation maps.
(D) Production analysis, efficiency measurement: activity
analysis, frontier production function, stochastic frontier,
efficiency in production, and consumption.
(E) Von Neumann’s economic model.
(F) The market, general equilibrium.
(G) Choice theory: choice, preference, utility, ‘welfare’,
‘theory of value’, semantics, doctrine.
(H) Optimization: Lagrange’s method, convex programming,
Kuhn-Tucker theory, numerical analysis; Ramsey’s
optimal savings; minimum paths.
(I) Multivariate analysis, econometrics.
(J) Macroeconomics, dynamics.
(K) Mathematics
CV Part III
(A) Demand theory: the ‘integrability problem’, Slutsky coefficients,
‘revealed preference’ of Samuelson and Houthakker.
On Linear Differential Forms and the Symmetry Condition of Slutsky.
Research Report, Department of Applied Economics, Cambridge,
1954.
The Consistency Condition and Other Concepts in the Theory of Value
and Demand. Research Report, Department of Applied Economics,
Cambridge, 1954.
Value and Expenditure. Research Memorandum No. 7 (February 1959),
Econometric Research Program, Princeton University.
Preferences and the Theory of Consumers’ Expenditures. Washington
Meeting of the Econometric Society, December 1959. Abstract in
Econometrica 28, 3 (1960), 693-695.
The Analysis of Preferences. Research Memorandum No. 11 (January
1960), Econometric Research Program, Princeton University.
Preference Scales and Expenditure Systems. Research Memorandum No.
13 (March 1960), Econometric Research Program, Princeton
University. Econometrica 30 (1962), 305-323.
The Equivalence in Two Dimensions of the Strong and Weak Axioms of
Revealed Preference. Metroeconomica 17, 1-2 (1965), 24-28.
Revealed Preference Revealed. Waterloo Economic Series No. 60 (June
1972), University of Waterloo.
The Case of the Vanishing Slutsky Matrix. Journal of Economic Theory
5, 2 (October 1972).
The Maximum Hypothesis in Demand Analysis. Waterloo Economic
Series No. 79 (March 1973), University of Waterloo.
Demand Functions and Utility Orders. Waterloo Economic Series No. 81
(March 1973), University of Waterloo.
Direct and Indirect Utility. Waterloo Economic Series No. 83 (March
1973), University of Waterloo.
On Integrability Conditions for Demand Functions. Discussion Paper
7408 (October), Department of Economics, University of Ottawa.
Slutsky and Frobenius. Zeitschrift für Nationalökonomie 37, 3-4 (1977),
307-322.
Demand Functions and the Slutsky Matrix. Princeton University Press,
1980. Pp. 275. Princeton Studies in Mathematical Economics, 7.
CV Part III
McKenzie and the Slutsky coefficients. In William Thomson (Ed.),
General Equilibrium and Growth: The Legacy of Lionel McKenzie.
Proceedings of the Conference at the University of Rochester.
Academic Press, 1994.
(B) Demand theory: finite, combinatoric, or ‘non-parametric’.
Expenditure Configurations. Research Memorandum No. 21 (February
1961). Econometric Research Program, Princeton University.
The System of Inequalities a rs  x s  x r . Research Memorandum No. 18
(October 1960), Econometric Research Program, Princeton
University. Proc. Cambridge Phil. Soc. 59 (1963), 125-133.
The Construction of Utility Functions from Expenditure Data. Cowles
Foundation Discussion Paper No. 144 (October 1964), Yale
University. First World Congress of the Econometric Society, Rome,
September 1965. International Economic Review 8, 1 (1967), 67-77.
The Construction of Separable Utility Functions from Expenditure Data.
Department of Economics, University of North Carolina, Chapel Hill,
1969.
On a System of Inequalities in Demand Analysis: an Extension of the
Classical Method. Internat. Econ. Review 14, 2(June 1973), 460-472.
Sum-symmetric matrices. Linear Algebra and its Applications 8 (1974),
129-140.
Combinatorial Theory of Demand. London: Input-Output Publishing
Co., 1976. Pp. 28. Occasional Paper No. 1
Combinatorics of Demand and Utility. Research Conference on Finite
Dimensional Linear and Multilinear Algebra, Institute for the
Interdisciplinary Applications of Algebra and Combinatorics,
University of Calfornia, Santa Barbara, December 7-9, 1977.
The Flow-Decomposition of a Non-Negative Matrix. Discussion Paper
7703 (January), Economics Department, University of Ottawa.
On Minimum Paths and Subpotentials in a Valuated Network. Discussion
Paper 7704 (February) Economics Department, University of Ottawa.
Use and Exchange. Part II in Logic of Choice and Economic Theory.
Oxford: Clarendon Press, 1987.
Combinatorics of Demand and Utility. Algorithms Seminar, Carleton
University/University of Ottawa, 16 February 1988.
CV Part III
(C) Economic index numbers: the cost of living problem, price indices,
exact or true indices, Byushgens’ theorem, Wald’s “New Formula”
The Calculation of Index Numbers of the Standard and Cost of Living.
Research Report, Department of Applied Economics, Cambridge,
1954.
On Index Numbers in the Theory of Value and Demand. Research
Report, Department of Applied Economics, Cambridge, 1954.
Theory of Economic Index Numbers. Research Report, Department of
Applied Economics, Cambridge, 1956.
The Conceptual Problem of a Cost of Living Index. Stanford Meeting of
the Econometric Society, August 1960. Abstract in Econometrica 29,
3 (1961), 440.
Gradient Configurations and Quadratic Functions. Research
Memorandum No. 20 (January 1961), Econometric Research
Program, Princeton University. Proc. Cambridge Phil. Soc. 59
(1963), 287-305.
The Cost of Living Index. Research Memoranda Nos. 24 (March 1961),
27 (April 1961) and 29 (August 1961). Econometric Research
Program, Princeton University.
On Bernoullian Utility for Goods and Money. Research Memorandum
No. 35 (December 1961), Econometric Research Program, Princeton
University. Metroeconomica 15, 1 (1963), 38-46.
A Formula for Ranging the Cost of Living. In Recent Advances in
Mathematical Programming, Proceedings of the Chicago Symposium,
1962, edited by R.L. Graves and P. Wolfe. New York: McGraw Hill,
1962.
An Identity Concerning the Relation between the Paasche and Laspeyres
Indices. Metroeconomica 15, 2-3 (1963), 136-140.
The Method of Limits in the Theory of Index Numbers. Joint European
Conferenceof the Institute of Mathematical Statistics and the
Econometric Society, Copenhagen, July 1963. Metroeconomica 21, 2
(1969), 141-165.
The Cost of Living Index. In Studies in Mathematical Economics in
Honor of Oskar Morgenstern, edited by Martin Shubik, Chapter 23:
335-365. Princeton University Press, 1967.
The Theory of International Comparisons of Real Income and Prices. In
International Comparisons of Prices and Output, Proceedings of the
Conference at York University, Toronto, 1970, edited by D. J. Daly.
CV Part III
National Bureau of Economic Reasearch, Studies in Income and
Wealth Volume 37, New York, 1972. (Ch. I, 13-84).
The Purchasing Power of Incomes. Meeting of the Canadian Economic
Association, Montreal, June 1972.
A General Defect with Price Indices and a Simple Remedy. The Atlantic
Economic Conference, Richmond, VA, 28-29 September, 1973.
Measurement of the Purchasing Power of Incomes with Linear Expansion
Data. Discussion Paper 7402 (August), Department of Economics,
University of Ottawa. J. of Econometrics 2, 3 (1974), 343-364.
The Marginal Price Index Method. Discussion Paper 7415 (December),
Department of Economics, University of Ottawa.
Measurement of the Variable Impact of Inflation on Purchasing Power at
Different Levels of Income. Conference on the Analysis of Consumer
Expenditure Data (National Bureau of Economic Research
Conference series on the Computer in Economic and Social
Research) NBER West Coast Center, Palo Alto, California, 2-3 May,
1974.
Inflation Maps and the Total and Incremental Inflation Rates. Third
World Congress of the Econometric Society, Toronto, August 1975.
Inflation and Purchasing Power. Quantitative Methods and Forecasting
Seminar, Department of Manpower and Immigration, Ottawa, 14
October, 1975.
Inflation Maps and the Total and Incremental Inflation Rates. Discussion
Paper 7508 (February), Economics Department, University of
Ottawa.
The Purchasing Power of Incomes. Annals of Economic and Social
Measurement 4, 1 (Winter 1975), 199-200. Special Issue on
Consumer Demand, Proceedings of the National Bureau of Economic
Research Conference, NBER West Coast Center, Palo Alto,
California, 2-3 May, 1974.
The Incremental Price Index. Economic Theory and Econometrics
Seminar, Oxford, 18 June, 1976.
The Incremental Price Index—Theory and Practice. Helsinki Meeting of
the Econometric Society, August 1976.
On Wald’s “New Formula for the Cost of Living”. Discussion Paper
7502 (January), Department of Economics, University of Ottawa.
International Seminar on Theory and Applications of Economic
Indices, Karlsruhe, 23 June-l July, 1976. In Theory and Application of
CV Part III
Economic Indices, edited by W. Eichhorn, R. Henn, O. Opitz, R. W.
Shephard. Proceedings of an International Seminar held at the
University of Karlsruhe, 23 June-1 July, 1976. Würzburg: PhysicaVerlag, 1978.
Consumers’ Expenditures and Inflation. Government of Canada Interdepartmental Project, Economic Council of Canada, 1976.
The Price Index. Cambridge University Press, 1977. Pp. 203. 2nd
impression, September 1978
Index Numbers in Theory and Practice by R. G. D. Allen. Canadian
Journal of Economics 11, 2 (May 1978), 367-369.
Theory of the Price Index: Fisher’s Test Approach and Generalizations by
Wolfgang Eichhorn and Joachim Voeller. Journal of Economic
Literature 16 (March 1978), 129-130.
The Power Algorithm for Generalized Laspeyres and Paasche Indices.
Athens Meeting of the Econometric Society, September 1979.
The Power Algorithm for Generalized Laspeyres Indices. Discussion
Paper 8002 (August), Economics Department, University of Ottawa.
On the Constructibility of Consistent Price Indices Between Several
Periods Simultaneously. In Essays in Theory and Measurement of
Demand: in honour of Sir Richard Stone, edited by Angus Deaton.
Cambridge University Press, 1981. Pp. 133-161.
The Consistency of Price Indices. Quantitative Methods Seminar,
Nuffield College, Oxford, May 1982.
The Power Algorithm for Minimum Paths, and Price Indices. XI.
International Symposium on Mathematical Programming, University
of Bonn, 23-27 August 1982
The True Index. In Demand, Equilibrium and Trade: Essays in Honour of
Ivor F. Pearce, Proceedings of the Conference at the University of
Southampton, 5-7 January 1982, edited by A. Ingham and A.M. Ulph.
London: Macmillan, 1984. pp. 37-56.
Fisher’s Test Approach to Index Numbers (with N. T. Jazairi). Discussion
Paper 8705 (August), Department of Economics, University of
Ottawa. In Encyclopedia of Statistical Sciences, edited by S. Kotz and
Norman L. Johnson. John Wiley & Sons, 1988.
The Cost of Living. Part III in Logic of Choice and Economic Theory.
Oxford: Clarendon Press, 1987.
The Cost of Living Problem. Department of Economics, Rutgers
University, New Brunswick, December 1987.
CV Part III
The price index, the concept in theory and practice, and its extensions.
Institute of Socio-Economic Planning, Tsukuba University, 26 April,
1988; also Economics Department, Osaka University, and Tohoku
University, Sendei.
(D) Production analysis, efficiency measurement: frontier production
function, stochastic frontier, efficiency in production, consumption.
The Production Function. Summer School in Mathematical Economics,
Frascati, Italy, 1966.
Economic Transformation. Research Paper No. 152 (November 1966)
Purdue University. In Economia Matematica, edited by Bruno de
Finetti. Rome: Edizioni Cremonese (1967), 1-64.
Activity Constraints in Demographic Variables. Annual Meeting of the
Population Association of America, Atlantic City, NJ, 1969.
The Construction of Cost-efficiencies and Approximate Utility. Functions
from Inconsistent Expenditure Data. New York Meeting of the
Econometric Society, December 1969.
Efficiency Estimation of Production Functions. Boulder Meetings of the
Econometric Society, September 1971. International Economic
Review 13, 3 (October 1972), 568- 598.
A Non-parametric Approach to Production. Conference on Applications
of Duality Theory, Ottawa, 8-9 September, 1972.
Production Duality. In Production Theory, edited by W. Eichhorn, R.
Henn, O. Opitz and R. W. Shephard. International Seminar on
Production Theory, Karlsruhe, May-July 1973. Berlin: SpringerVerlag, 1974.
The Effect of Education on Efficiency in Consumption by Robert T.
Michael. Monthly Labour Review 97, 1 (January 1974), 86-87.
Production Functions and Efficiency Measurement. Conference on
Current Issues in Productivity, Columbia University, New York, 1618 April 1980
Models of Inefficiency. Conference on Current Issues in Productivity,
Cornell University, Ithaca, NY, November 30-December 2, 1982.
Efficiency and Inefficiency: Concepts and Measurement Questions.
Conference on Current Issues in Productivity, Graduate School of
Management, Rutgers the State University of New Jersey, 5-7
December 1983.
CV Part III
Efficiency in Economics. Special Seminar in Economic Theory and
Mathematical Economics, Economics Department, Carleton
University, Ottawa, 9 May 1986.
Efficiency in Production and Consumption. Conference on Current Issues
in Productivity, Graduate School of Management, Rutgers the State
University of New Jersey, 2-4 December 1985. In Applications of
Modern Production Theory: Efficiency and Productivity, edited by
Ali Dogramaci and Rolf Fa¨re. Boston: Kluwer-Nijhoff, 1988.
The frontier and stochastic frontier production functions. Deparetment of
Economics, University of California, Santa Barbara, October 1987.
Efficiency and Inefficiency, Chapter II.6, Opportunity Models, Chapter
IV.1, Leontief’s Input-Output, Chapter IV.2, in Logic of Choice and
Economic Theory. Oxford: The Clarendon Press, 1987.
(E) Von Neumann’s economic model
Reciprocity Theorems in a von Neumann Economy. Winter Meeting of
the Econometric Society, New York, December 1973.
Production Duality and the von Neumann Theory of Growth and Interest.
Meisenheim am Glan: Verlag Anton Hain, l974. Pp. 86.
Mathematical Theory of Expanding and Contracting Economies by Oskar
Morgenstern and Gerald L. Thompson. KYKLOS 30, 3 (1977), 562564.
An Algorithm for Von Neumann’s Economic Model. Discussion Paper
8602, Department of Economics, University of Ottawa. In Robert
Grone and Frank Uhlig (Eds.), Current Trends in Matrix Theory:
Proceedings of the Third Auburn Matrix Theory Conference, Auburn
University, Alabama, 19-22 March 1986, 3-22. North-Holland, 1987.
Von Neumann’s Economic Model. In Von Neumann and Modern
Economics, edited by S. Chakravarty, M. H. I. Dore and R. Goodwin.
Oxford: Clarendon Press, 1988.
Chapter IV.6 in Logic of Choice and Economic Theory. Oxford:
Clarendon Press, 1987.
(F) The market, general equilibrium.
Elementary Theory of Exchange and Prices. Discussion Paper 7506
(January), Department of Economics, University of Ottawa.
CV Part III
Linear Markets. Economic Theory Workshop, Queen’s University,
Kingston, Ontario, 28-30 March 1977.
Marshallian and Walrasian Markets. Ottawa Meeting of the Econometric
Society, June 1977.
Infinite Products of Distribution Matrices and Global Economic
Stabilities. 26th International Meeting of the Institute of Management
Sciences (TIMS XXVI), Copenhagen, 18-20 June, 1984.
The Market: some reconsiderations. Economics Department, McGill
University, April 1985.
Lessons in Edgeworth’s Box. Discussion Paper 8509, Department of
Economics, University of Ottawa.
The Linear Market. Department of Operations Research, Stanford
University, 23 April 1987.
The Market, Chapter IV.3, General Economic Equilibrium, Chapter IV.5,
in Logic of Choice and Economic Theory. Oxford: Clarendon Press,
1987.
Continuity of Correspondences. Discussion Paper 8806 (December),
Department of Economics, University of Ottawa.
(G) Choice theory: choice, preference, utility, ‘welfare’, ‘theory of
value’, semantics, doctrine.
Probabilities of Preference and Choice. Research Report, Department of
Applied Economics, Cambridge, 1954.
The Validity of the Expected Utility Hypothesis. In Recent Advances in
Game Theory, Proceedings of the Princeton University Conference,
4-6 October, 1961, edited by M. Maschler. Reprinted in
Metroeconomica 20, 1(1968), 63-72.
People and Population. World Politics 17, 3 (1965), 431-439. Japanese
translation, with foreword by Edwin O. Reischauer (US Ambassador
to Japan): Japan-America Forum 11, 10 (October 1965), 1-28.
Principles of Choice and Preference. Research Paper No. 160 (February
1967), Purdue University.
Population, Resources and Welfare. Workshop on Population, National
Bureau of Economic Research, New York, April 1971.
Reservations about Market Sovereignty: Four Notes. In Policy Formation
in an Open Economy, edited by R. A. Mundell, Proceedings of the
CV Part III
Policy Formation : Canada Conference, University of Waterloo, 1114 November, 1972. Waterloo Research Institute, 1974.
Adam Smith and Robinson Crusoe. Note dedicated to Sir Roy Harrod
following celebrations of the 250th Birthday of Adam Smith at
Kirkcaldy, Scotland, 4-5 June, 1973.
Collective Decision and Optimality. Theory and Measurement of the
Demand for Public Services: International Seminar on Public
Economics, Siena, Italy, 3-6 September, 1973. ISPE, Department of
Economics, Harvard University.
On
Hansson’s Democratic Neutrality. Discussion Paper 7407
(September), Department of Economics, University of Ottawa.
The Collective Optimum. Discussion Paper 7409 (October), Department
of Economics, University of Ottawa.
Sraffa’s Prices. Discussion Paper 7511 (April), Department of
Economics, University of Ottawa.
Ramsey’s Rule of Savings. Discussion Paper 7512 (May), Department of
Economics, University of Ottawa.
On
Hansson’s Democratic Neutrality. Discussion Paper 7407
(September), Department of Economics, University of Ottawa.
Atlantic Economic Review 3,2 (November 1975), 18-21.
Democratic Order Functions. Discussion Paper 7414 (November),
Department of Economics, University of Ottawa. Atlantic Economic
Review 3, 2 (1975), 13-18.
The Order of Last Differences. Discussion Paper 7702 (January),
Department of Economics, University of Ottawa.
On Handa’s “New Theory” of Cardinal Utility. Discussion Paper 7711
(June). Department of Economics, University of Ottawa.
Sraffa’s Prices. Geneva Meeting of the Econometric Society, September
1978.
Sraffa’s Prices and the Theory of Value. Meeting of the Eastern
Economics Assoceation, Montreal, 8-10 May 1980.
Discounting the Future. Conference on Natural Resources and
Production, University of Karlsruhe, 23 June-4 July 1980.
The Maximum Doctrine. Atlantic Canada Economics Association
Meeting, University of New Brunswick, Fredericton, 27-29 October,
1983.
CV Part III
Axiomatics of the voting process. Public Choice Society, Baltimore,
Maryland, 21-23 March, 1986.
Economic Optimism. Department of Economics, Stanford University, 21
April 1987; and subsequently at universities in Australia, ANU,
Macquarie, Melbourne, Sydney, Newcastle, May-June.
Choice and the Optimum, Part I in Logic of Choice and Economic
Theory. Oxford: Clarendon Press, 1987.
On trade, and self-sufficiency. Institute of Economics and Management
Science, Kobe University, 22 April 1988; and Sophia University,
Tokyo, 27 April.
On Trade, and Self-Sufficiency. Symposium on Equity and Efficiency in
Development, in honour of Benjamin Higgins. Canadian Institute for
Research on Regional Development, University of Moncton, New
Brunswick.
(H) Optimization: Lagrange’s method, convex programming, KuhnTucker theory, numerical analysis; minimum paths, power algorithm.
The quadratic form positive definite on a linear manifold. Proc.
Cambridge Phil. Soc. 47,1 (1951), 1-6.
Symmetric matrices, quadratic forms, and linear
Publicationes Mathematicae 3 (1954), 305-308.
constraints.
The progressive support method for convex programming. 7th
Mathematical Programming Symposium, The Hague, 1970. J. Numer.
Anal. 7, 3 (1970), 44-57.
Theory of maxima and the method of Lagrange. J. Applied Math. 20, 3
(1971), 343-357.
The Output Limit Function in General and Convex Programming and the
Theory of Production. 36th National Meeting of the Operations
Research Society of America, Miami Beach, Florida, November l969.
Econometrica 39 (1971), 309-339.
Centralized and Decentralized Programming: An Extension of the Theory
of Shadow Prices. New Orleans Meeting of the Econometric Society,
December 1971.
A Theorem on the Dual Identity of Optimal and Suport Solutions in
Linear Programming. Waterloo Economic Series No. 56 (April 1972),
University of Waterloo
A Theorem on Shadow Prices. Econometrica 41, 6 (1973), 1197-1199.
CV Part III
Marginal Saddle Values. 3rd Symposium on Operations Research,
University of Mannheim, September 1978.
Matrix Powers: Classical and Variations. Matrix Theory Conference,
Auburn, Alabama, 19-22 March 1980.
Microcomputing with the Simplex Algorithm. Discussion Paper 8011
(October), Department of Economics, University of Ottawa.
Lagrange Multipliers. Department of Economics and Operations
Research, University of Canterbury, New Zealand, June 1987.
Part V in Logic of Choice and Economic Theory. Oxford: The Clarendon
Press, 1987.
Lagrange Multipliers. In The New Palgrave: a Dictionary of Economic
Theory and Doctrine, edited by John Eatwell, Murray Milgate and
Peter Newman. Macmillan, 1988.
(I) Multivariate analysis, econometrics
The Age-Grade Distribution Structure of the Staff of a Large
Organization. Personnel Department, Imperial Chemical Industries,
1951.
The Analysis of Seasonal Variation. Research Report, Department of
Applied Economics, Cambridge, 1954.
On the latent vectors and characteristic values of products of pairs of
symmetric idempotents. Quart. J. Math. Oxford 2,7(1956), 76-78.
Orthogonal and oblique projectors and the characteristics of pairs of
vector space. Proc. Cambridge Phil. Soc. 53, 4 (1957), 800-816.
Statistical Projection: An investigation of the Role of Orthogonal
Projectors in Regression Analysis. Research Memorandum No. 16
(June 1960), Econometric Research Program, Princeton University
Regression and Projection. In Economic Models, Estimation and Risk
Programming: Essays in Honor of Gerhard Tintner, edited by Karl
A. Fox, B. V. L. Narashimham, and Jati K. Sengupta, Chapter 12:
277-301. Berlin: Springer-Verlag, 1969.
Theory of Projection in Euclidean Space with Application to a Statistical
Estimation Problem of S. K. Ghosh. Waterloo Economic Series No.
52 (November 1971), University of Waterloo.
Orthogonal Projectors and the General Matrix Inverse. Discussion Paper
7520 (October), Economics Department , University of Ottawa.
CV Part III
Studies in Correlation: Multivariate Analysis and Econometrics (with
Gerhard Tintner and M. V. Rama Sastry). Göttingen: Vandenhoeck
and Ruprecht, l975. Pp. 150. (Contributing Part I: The Algebra and
Geometry of Statistical Correlation. Pp. 100). Angewandte Statistik
und Ökonometrie.
(J) Macroeconomics, dynamics
Models of Economic Growth (with J. S. Duesenberry), Research Report,
Department of Applied Economics, Cambridge, 1954.
Simultaneous linear differential equations with constant coefficients.
Proc. Cambridge Phil. Soc. 52, 2 (1956), 209-212.
The aproach to scalar growth of a vector transformed by an increasing
power of a matrix. Proc. Cambridge Phil. Soc. 53, 2 (1956), 213-214.
Dynamics of the Reserve Position and the Interest Rate. Discussion
Paper 7803, Economics Department, University of Ottawa. Geneva
Meeting of the Econometric Society, September l978.
Fast and Slow Adjustment for the Reserve Position and Interest Rate,
Discussion Paper No. 167 (June 1988), Institute of Social and
Economic Research, Osaka University.
(K) Mathematics
The quadratic form positive definite on a linear manifold. Proc.
Cambridge Phil. Soc. 47, 1 (1951), 1-6.
Bounds for the characteristic values of matrix functions. Quart. J. Math.
Oxford 2 (1951), 81-4.
An iterative process for the numerical determination of characteristic
values of certain matrices. Quart. J. Math. Oxford 2 (1951), 121-2.
The rank and multiplicity theorem for the reduction of quadratic forms.
Math. Gazette 37, 319 (1953), 27-8.
Theory of Matrices and Applications. DPhil Thesis, University of
Oxford, Trinity Term, 1954; copy in the Bodleian Library.
Symmetric matrices, quadratic forms, and
Publicationes Mathematicae 3 (1954), 305-8.
linear
constraints.
Composite matrices. Quart. J. Math. Oxford 2 (1954), 81-98.
On the latent vectors and characteristic values of products of pairs of
symmetric idempotents. Quart.J. Math. Oxford 2, 7 (1956), 76-8.
CV Part III
Simultaneous linear differential equations with constant coefficients.
Proc. Cambridge Phil. Soc. 52, 2 (1956), 209-12.
The aproach to scalar growth of a vector transformed by an increasing
power of a matrix. Proc. Cambridge Phil. Soc. 53, 2 (1956), 213-4.
On the definition of the determinant as a multilinear antisymmetric
function. Publicationes Mathematicae 5 (1957), 38-9.
Orthogonal and oblique projectors and the characteristics of pairs of
vector spaces. Proc. Cambridge Phil. Soc. 53, 4 (1957), 800-16.
Analytic function of finite dimensional linear transformations. Proc.
Cambridge Phil. Soc. 55, 1 (1959), 51-61.
The System of Inequalities ars  xs  xr . Research Memorandum No. 18
(October 1960), Econometric Research Program, Princeton
University. Proc. Cambridge Phil. Soc. 59 (1963), 125-33.
Gradient Configurations and Quadratic Functions. Research
Memorandum No. 20 (January 1961), Econometric Research
Program, Princeton University. Proc. Cambridge Phil. Soc. 59
(1963), 287-305.
The Cube. In Art Has Many Facets, edited by J. MacAgy, Fine Arts
Department, University of St. Thomas, Houston, Texas, 1963.
The progressive support method for convex programming. 7th
Mathematical Programming Symposium, The Hague, 1970. J. Numer.
Anal. 7, 3 (1970), 44-57.
Theory of maxima and the method of Lagrange. J. Applied Math. 20, 3
(1971), 343-57.
On the rational canonical form of a matrix. Journal of Linear and
Multilinear Algebra 1 (1973), 185-6.
Sum-symmetric matrices. Linear Algebra and its Applications 8 (1974),
129-40.
Slutsky and Frobenius. Zeitschrift für Nationalökonomie 37, 3-4 (1977),
307-22.
Demand Functions and the Slutsky Matrix. Princeton University Press,
1980. Pp. 275. Princeton Studies in Mathematical Economics, 7.
Graphic A-Mazes. Creative Computing 6, 6 (June 1980), 124-7.
The Ring of Linked Rings. London: Gerald Duckworth & Co Ltd, 1982.
Pp. 144. (mathematical and computer recreations, theory and history
of Chinese Rings, and its different manifestations, binary dividers,
Lucas's Tower problem, error correcting code, Dragon Curves, &c.)
CV Part III
An Algorithm for Von Neumann's Economic Model. In Robert Grone and
Frank Uhlig (Eds.), Current Trends in Matrix Theory: Proceeding of
the Third Auburn Matrix Theory Conference, Auburn University,
Alabama, 19-22 March 1986, 3-22. North-Holland, 1987.
Lagrange Multipliers. In The New Palgrave: a Dictionary of Economic
Theory and Doctrine, edited by John Eatwell, Murray Milgate and
Peter Newman. Macmillan, 1988.
Theorem of the Mean. European University Institute, , San Domenico di
Fiesole/Firenze, November 1994.
Marginal saddle-values. International Conference on Game Theory and
Applications In Honor of Robert J. Aumann on his 65th Birthday,
The Hebrew University, Jerusalem, June 25-29, 1995.
Lagrange Multipliers—revisited. Mathematics Department, Boğaziçi
University, İstanbul, 4 December, 1996.
Linear Dependence: Theory and Computation. London and New York:
Kluwer/Plenum, 2000. Pp. xiii +169.
III: Short CV &c
1
2
3
4
Short CV
Monographs / books
Selected papers
Preparation
1 Short CV
Graduated in mathematics from Pembroke College, Cambridge,
with a period during World War II in the High Speed Section,
Aerodynamics Division, National Physical Laboratory, then
DPhil at the Queen’s College, Oxford. Work with Richard
Stone in the Department of Applied Economics, Cambridge,
1953-56, initiated activity in economics. After 1956-58 as
Lecturer and Research Fellow in Mathematics, Jerusalem, years
1958-62 were in Princeton. Then Economics and Mathematics
at Rice University, Houston, and Visiting Fellow at Yale. Beside
Purdue, UNC, Waterloo and Ottawa later time includes intervals
at Mathematical Sciences Research Institute, Berkeley, Visiting
Fellow, All Souls College, Oxford, Izaak Walton Killam Fellow,
Academic Visitor, London School of Economics, Visiting
Fellow, Macquarie University NSW, Visiting Professor,
Institute of Social and Economic Research, Osaka, Professor,
Bilkent University, Ankara, Visiting Professor, University of
Siena, and Jean Monnet Fellow, European University Institute,
San Domenico di Fiesole/Firenze; otherwise in UK and Italy;
author of books and articles to do with mathematics and
economics beside scattered other items.
2 Monographs/Books
Theory of Matrices and Applications. DPhil Thesis, University of
Oxford, Trinity Term, 1953; copy in the Bodleian Library.
Production Duality and the von Neumann Theory of Growth and
Interest. Meisenheim am Glan: Verlag Anton Hain, 1974. Pp. 86.
Studies in Correlation: Multivariate Analysis and Econometrics (with
Gerhard Tintner and M. V. Rama Sastry). Göttingen: Vandenhoeck
and Ruprecht, 1975. Pp. 150. (Contributing Part I: The Algebra and
Geometry of Statistical Correlation. Pp. 100). Angewandte Statistik
und Ökonometrie.
Combinatorial Theory of Demand. London: Input-Output Publishing
Co., 1976. Pp. 28. Occasional Paper No. 1.
The Price Index. Cambridge University Press, 1977. Pp. 203. Reprinted
September 1978.
Demand Functions and the Slutsky Matrix. Princeton University Press,
1980. Pp. 275. Princeton Studies in Mathematical Economics, 7.
The Ring of Linked Rings. London: Gerald Duckworth & Co Ltd, 1982.
Pp. 144. (Mathematical and computer recreations, theory and history
of Chinese Rings, and its various manifestations, binary dividers,
Lucas’s Tower problem, error correcting code, Dragon Curves, &c.)
Logic of Choice and Economic Theory. Oxford: Clarendon Press, 1987.
Pp 592. (Available from Print on Demand, the OXFORD scholarship
online (OSO) programme, see www.oup.com/uk/osodemo.)
Linear Dependence: Theory and Computation. London and New York:
Kluwer / Plenum, 2000. Pp. xiii +169. http://www.wkap.nl/prod/b/0-306-46428-4
The Market : equilibrium, stability, mythology. Foreword by Michael
Allingham. London & New York: Routledge, 2002. Pp. xv +128.
Routledge Frontiers of Political Economy No. 44
The Price Index and its Extension—A Chapter in Economic
Measurement. Foreword by Angus Deaton. London & New York:
Routledge, 2004. Pp. xxx + 421. Routledge Frontiers of Political
Economy No. 65.
on the River Non. Foreword by Paolo Vivante. Empoli (FI): Ibiskos di
A. Ulivieri, 2006. Pp. xvi + 33. (Twenty-four poems, one
watercolour, graphic outputs from QuickBASIC programs, and other
items.)
Economics and the Price Index. With Carlo Milana. Foreword by Angus
Deaton. London & New York: Routledge, 2008,
sul fiume Non / on the River Non. Second edition with translation into
Italian by Anna Maria Cipriani (Italian Embassy, London), translator
of Charles Van Doren A history of knowledge, Past, Present, and
Future / Storia della conoscenza. Gli eventi, le persone e le conquiste
fondamentali, Roma: Armando 2006. Empoli (FI): Ibiskos di A.
Ulivieri, 2009 Pp. xxvi + 94.
What Happened to the Population Problem?—and other questions.
About what happened to the Problem the last half-century—and
unsettled economics. www.authorsonline.co.uk, 2009.
3 Selected papers
On the latent vectors and characteristic values of products of pairs of
symmetric idempotents. Quart.J. Math. Oxford 2, 7 (1956), 76-8.
Orthogonal and oblique projectors and the characteristics of pairs of
vector spaces. Proc. Cambridge Phil. Soc. 53, 4 (1957), 800-16.
The Cube. In Art Has Many Facets, edited by J. MacAgy, Fine Arts
Department, University of St. Thomas, Houston, Texas, 1963.
The Construction of Utility Functions from Expenditure Data. Cowles
Foundation Discussion Paper No. 144 (October 1964), Yale
University. First World Congress of the Econometric Society, Rome,
September 1965. International Economic Review 8, 1 (1967), 67-77.
People and Population. World Politics 17, 3 (1965), 431-9. Japanese
translation, with foreword by Ambassador Edwin O. Reischauer:
Japan-America Forum 11, 10 (October 1965), 1-28.
The Cost of Living Index. In Studies in Mathematical Economics in
Honor of Oskar Morgenstern, edited by Martin Shubik, Chapter 23:
335-65. Princeton University Press, 1967.
The Theory of International Comparisons of Real Income and Prices. In
International Comparisons of Prices and Output, Proceedings of the
Conference at York University, Toronto, 1970, edited by D. J. Daly.
National Bureau of Economic Reasearch, Studies in Income and
Wealth Volume 37, New York, 1972. (Ch. I, 13-84).
Efficiency Estimation of Production Functions. Boulder Meetings of the
Econometric Society, September 1971. International Economic
Review 13, 3 (October 1972), 568-98.
On the rational canonical form of a matrix. Journal of Linear and
Multilinear Algebra 1 (1973), 185-6.
On a System of Inequalities in Demand Analysis: an Extension of the
Classical Method. International Economic Review 14, 2 (June 1973),
460-72.
Graphic A-azes. Creative Computing 6, 6 (June 1980), 124-7.
On the Constructibility of Consistent Price Indices Between Several Peris
Simultaneously. In Essays in Theory and Measurement of Demand: in
honour of Sir Richard Stone, edited by Angus Deaton. Cambridge
University Press, 1981. pp 133-61.
Sraffa’s prices. Sraffa o un’altra economia: Convegno Internationale su
Piero Sraffa (1898-1893) nel ventennale delle morte, Università di
Roma “La Sapienza”, 12-13 December 2003. In Sraffa or An
Alternative Economics edited by Guglielmo Chiodi and Leonardo
Ditta, Palgrave Macmillan, 2008.
4 Preparation
Choice and Preference : Demand and Utility
Materials, published and unpublished, about choice theory and the
connection between demand and utility.
Combinatorial Linear Algebra and Convexity—Economic and other
applications.
The Index Number Problem
NONPLUS—fragments : an accident in biography