Paul A. Samuelson, 1915-
Perhaps more than anyone else, Paul A. Samuelson has personified mainstream economics in
the second half of the twentieth century. The writer of the most successful principles
textbook ever (1948), Paul Samuelson has been not unjustly considered the
incarnation of the economics "establishment" - and as a result, has been both
lauded and vilified for virtually everything right and wrong about it.
Samuelson's most famous piece of work, Foundations of Economic Analysis (1947),
one of the grand tomes that helped revive Neoclassical
economics and launched the era of the mathematization of economics. Samuelson was
one of the progenitors of the Paretian revival
in microeconomics and the Neo-Keynesian
Synthesis in macroeconomics during the post-war period.
The wunderkind of the Harvard generation of
1930s, where he studied under Schumpeter and Leontief had a prodigious grasp of economic theory which has since
become legendary (an unconfirmed anecdote has it that at the end of Samuelson's
dissertation defense, Schumpeter turned to Leontief and asked, "Well, Wassily, have
we passed?"). Paul Samuelson moved on to M.I.T. where he built one of the century's
most powerful economics departments around himself. He was soon joined by R.M. Solow who was to be come Samuelson's sometime co-writer and
partner-in-crime.
Samuelson's specific contributions to economics have been far too many to be listed
here - being among the most prolific writers in economics. Samuelson's signature method of
economic theory, illustrated in his Foundations (1947), seems to follow two rules
which can also been said to characterize much of Neoclassical economics since: with every
economic problem (1) reduce the number of variables and keep only a minumum set of simple
economic relations; (2) if possible, rewrite it as a constrained optimization problem.
In microeconomics, he is responsible for the theory of revealed preference (1938,
1947). This and his related efforts on the question of utility measurement and
integrability (1937, 1950) opened the way for future developments by Debreu,
Georgescu-Roegen and Uzawa. He also
introduced the use of comparative statics and dynamics through his "correspondence
principle" (1947) which was applied fruitfully in his contributions to the dynamic stability of general equilibrium (1941, 1944).
He also developed what are now called "Bergson-Samuelson social welfare functions"
(1947, 1950, 1956) and, no less famously, Samuelson is responsible for the harnessing of
"public goods" into Neoclassical theory (1954, 1955, 1958).
Samuelson was also instrumental in establishing the modern theory of theory of production. His Foundations
(1947) are responsible for the envelope theorem and the full characterization of the cost function. He also made important
contributions to the theory of technical progress (1972). His work on the theory of capital is also well known, if
contentious. He demonstrated one of the first remarkable
"Non-Substitution" theorems (1951) and, in his famous paper with Solow (1953), initiated the analysis of dynamic Leontief systems.
This work was famously reiterated in his famous 1958 volume on linear programming with
Robert Dorfman and Robert Solow, wherein
we also find a clear introduction to the "turnpike" conjecture of linear von Neumann systems. Samuelson was also Joan Robinson's main adversary in the Cambridge Capital Controversy -
introducing the "surrogate" production function (1962), and then subsequently
(and graciously) relenting (1966).
In international trade theory, he is responsible for the Stolper-Samuelson Theorem and,
independently of Lerner, the Factor Price Equalization theorem
(1948, 1949, 1953) as well as (finally) resolving the age-old "transfer problem"
relating terms of trade and capital flows a well as the Marxian
transformation problem (1971) and other issues in Classical
economics (1957, 1978).
In macroeconomics, Samuelson's multiplier-accelerator
macrodynamic model (1939) is justly famous, as is his presentation of the Phillips Curve (1960) to the world. He is also
famous for popularizing Allais's "overlapping
generations" model which has since found many applications in macroeconomics and
monetary theory. In many ways, his work on speculative prices (1965) effectively
anticipates the efficient markets hypothesis in finance
theory. His work on diversification (1967) and the "lifetime portfolio"
(1969) is also well known.
Paul Samuelson's many contributions to Neoclassical economic theory were recognized
with a Nobel Memorial prize in 1970.
Major Works of Paul A. Samuelson
- "Some Aspects of the Pure Theory of Capital", 1937, QJE.
- "A Note on Measurement of Utility", 1937, RES.
- "A Note on the Pure Theory of Consumer's Behaviour", 1938, Economica.
- "Numerical Representation of Ordered Classifications and the Concept of
Utility", 1938, RES.
- "Interaction Between the Multiplier Analysis and the Principle of
Acceleration", 1939, RES.
- "The Stability of Equilibrium: Comparative statics and dynamics", 1941, Econometrica.
- "Constancy of the Marginal Utility of Income", 1942, in Lange et al, editors, Studies
in Mathematical Economics.
- "The Relation Between Hicksian Stability and True Dynamic Stability", 1944, Econometrica.
- Foundations of Economic Analysis, 1947.
- "Some
Implications of Linearity", 1947, Econometrica
- "Consumption Theory in Terms of Revealed Preference", 1948, Economica
- Economics: An introductory analysis, 1948.
- "International Trade and the Equalisation of Factor Prices", 1948, EJ.
- "International Factor-Price Equalisation Once Again", 1949, EJ.
- "The Problem of Integrability in Utility Theory", 1950, Economica.
- "Probability and the Attempts to Measure Utility", 1950, Economic Review.
- "Evaluation of Real National Income", 1950, Oxford EP.
- "Abstract of a Theorem Concerning Substitutability in Open Leontief Models",
1951, in Koopmans, editor, Activity Analysis of Production and Allocation.
- "Economic
Theory and Mathematics: An appraisal", 1952, AER
- "Spatial Price Equilibrium and Linear Programming", 1952, AER.
- "Prices of Factors and Goods in General Equilibrium", 1953, RES.
- "Consumption Theorems in Terms of Overcompensation Rather than Indifference
Comparisons", 1953, Economica.
- "Balanced Growth under Constant Returns to Scale", with R.M. Solow, 1953, Econometrica.
- "Utility, Preference and Probability", 1953, Econometrie.
- "The Pure Theory of Public Expenditure", 1954, REStat.
- "Diagrammatic Exposition of a Theory of Public Expenditure", 1954, REStat.
- "Social Indifference Curves", 1956, QJE.
- "A Complete Capital Model Involving Heterogeneous Capital Goods", with R.M. Solow, 1956, QJE.
- "Wages and Interest: A modern dissection of Marxian economic models", 1957, AER.
- "An Exact Consumption-Loan Model of Interest with or without the Contrivance of
Money", 1958, JPE.
- Linear Programming and Economic Analysis with R.Dorfman and R.M. Solow, 1958.
- "Aspects of Public Expenditure Theory", 1958, REStat.
- "Reply to Lerner", 1959, JPE
- "Analytical Aspects of Anti-Inflation Policy", with R.M. Solow,
1960.
- "Efficient Programs of Capital Accumulation in Terms of the Calculus of
Variations", 1960, in Arrow, Karlin and Suppes, editors, Mathematical Models in
Social Science.
- "Parable and Realism in Capital Theory: The surrogate production function",
1962, RES.
- "Proof that Properly Anticipated Prices Fluctuate Randomly", 1965, Industrial
Management Review.
- "Rational Theory of Warrant Pricing", 1965, Industrial Management Review.
- "A Theory of Induced Innovation along Kennedy-Weizsacker Lines", 1965, REStat.
- "Using Full Duality to Show that Simultaneously Additive Direct and Indirect
Utilities Implies Unitary Price Elasticity of Demand", 1965, Econometrica.
- "A Catenary Turnpike Theorem Involving Consumption and the Golden Rule", 1965,
AER.
- "Economic Forecasting and Science", 1965, Michigan Quarterly
Rev (extracts)
- "The Non-Switching Theorem is False, with D.Levhari, 1966, QJE.
- "A Summing Up", 1966, QJE.
- "The Pasinetti Paradox in Neoclassical and More General
Models", with F. Modigliani, 1966, RES.
- "General Proof that Diversification Pays", 1967, J of Finance and
Quantitative Analysis.
- "What Classical and Neoclassical Monetary Theory Really Was", 1968, Canadian
JE.
- "Lifetime Portfolio Selection by Dynamic Stochastic Programming", 1969, REStat.
- "The Fundamental Approximation Theorem of Portfolio Analysis in Terms of Means,
Variances and Higher Moments", 1970, RES.
- "Understanding the Marxian Notion of Exploitation: A summary of the so-called
transformation problem between Marxian values and competitive prices", 1971, JEL.
- "Unification Theorem for the Two Basic Dualities of Homothetic Demand Theory",
1972, Proceedings of NAS.
- "Maximum Principles in Analytical Economics", 1972, AER.
- "Marx as a Mathematical economist", 1974, in Horwich and Samuelson, editors, Trade,
Stability and Macroeconomics.
- "Complementarity: An essay on the 40th Anniversary of the Hicks-Allen Revolution in
Demand Theory", 1974, JEL.
- "The Canonical Classical Model of Political Economy", 1978, JEL.
- Collected Scientific Papers, five volumes,1966-86.
- "Our
Wassily: W.W. Leontief (1905-1999)"
Resources on Paul Samuelson
- HET Pages: the Paretian System: Equilibrium, Market Failure, Social Welfare, Linear Programming,
Revealed Preference Theory, Local Multi-Market Stability,
Production Theory: Cost Function, Short-Run and Long-Run, Technical
Progress, Classical Ricardian System: the
Dynamic Leontief Model, the von Neumann Turnpike, the Non-Substitution Theorem, the
Cambridge Capital Controversy: Surrogate Production Function, the Neo-Keynesian World: the Phillips Curve, the Samuelson Multiplier-Accelerator Model,
International Trade: Factor Price Equalization, Overlapping Generations Model
- Biography
of Samuelson at Nobel Institute
- Press release of
Nobel award (1970)
- Ford/MIT Nobel Laureate
Lecture 2000 by Samuelson, Solow and Modigliani
- in RAM format (video
or audio),
article
- Q&A
with Paul Samuelson at Armchair Millionaire
- "The
Perseverance of Paul Samuelson's Economics " by Mark Skousen, JEP
- Samuelson Page at
Nobel Prize Internet Archive
- "Play
it Again, Samuelson", 1997, The Economist
- Samuelson
Page at Los Angeles Times
- Samuelson Page
at PEI
- Samuelson
entry in Britannica.com
- Samuelson
page at Britannica Guide to the Nobel Prizes
- Samuelson entry
at Bartleby
- Samuelson Page at Laura Forgette
- Photo
of Mundell, Samuelson and Deardorff
- Photo
of Stolper and Samuelson
- "Play It Again: Paul Samuelson and the Spending Multiplier"
by Mark Lovewell