Richard M. Goodwin
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Richard M. Goodwin (February 24, 1913 – August 13, 1996) was an American
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
and
economist An economist is a professional and practitioner in the social sciences, social science discipline of economics. The individual may also study, develop, and apply theories and concepts from economics and write about economic policy. Within this ...
.


Background

Goodwin was born in New Castle, Indiana. He received his BA and
PhD A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
at
Harvard Harvard University is a private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher lear ...
and taught there from 1942 until 1950. He fled the United States during the McCarthy era, then taught at the
University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
until 1979 and the
University of Siena The University of Siena (, abbreviation: UNISI), located in Siena, Tuscany, holds the distinction of being Italy's first publicly funded university as well as one of the oldest, originally established as ''Studium Senese'' in 1240. As of 2022, it ...
until 1984.. Although he became a university lecturer in the Cambridge faculty of economics and politics in 1951, it was not until five years later that he agreed to join the fellowship of a college, choosing that of
Peterhouse Peterhouse is the oldest Colleges of the University of Cambridge, constituent college of the University of Cambridge in England, founded in 1284 by Hugh de Balsham, Bishop of Ely. Peterhouse has around 300 undergraduate and 175 graduate stud ...
. Christopher Calladine thinks that this unusual situation may have been because Goodwin initially had ideological opposition to the notion of the college system, which he may have considered to be anachronistic. Later, after retiring from Cambridge,. Goodwin was the first non-Italian professor of economics at Siena.. Goodwin described himself as "a lifelong but wayward Marxist",. joining the
Communist Party of Great Britain The Communist Party of Great Britain (CPGB) was the largest communist organisation in Britain and was founded in 1920 through a merger of several smaller Marxist groups. Many miners joined the CPGB in the 1926 general strike. In 1930, the CPGB ...
while a
Rhodes Scholar The Rhodes Scholarship is an international Postgraduate education, postgraduate award for students to study at the University of Oxford in Oxford, United Kingdom. The scholarship is open to people from all backgrounds around the world. Esta ...
at
Oxford Oxford () is a City status in the United Kingdom, cathedral city and non-metropolitan district in Oxfordshire, England, of which it is the county town. The city is home to the University of Oxford, the List of oldest universities in continuou ...
in the 1930s and then its American counterpart when he got back to the United States. However, Goodwin left after the announcement of the
Molotov–Ribbentrop Pact The Molotov–Ribbentrop Pact, officially the Treaty of Non-Aggression between Germany and the Union of Soviet Socialist Republics, and also known as the Hitler–Stalin Pact and the Nazi–Soviet Pact, was a non-aggression pact between Nazi Ge ...
..


Work

Goodwin worked on the interaction between long run growth and business cycles. His article on matrix multiplier was one of the earliest uses of the Perron–Frobenius theorem in economics, although his reasoning had an error that was diagnosed by Frank H. Hahn. He returned to the Perron–Frobenius theorem with his book ''The Dynamics of A Capitalist Economy''. Goodwin's interest in applying the theory of
nonlinear system In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathem ...
s to
macroeconomics Macroeconomics is a branch of economics that deals with the performance, structure, behavior, and decision-making of an economy as a whole. This includes regional, national, and global economies. Macroeconomists study topics such as output (econ ...
was sparked by Philippe Le Corbeiller, who taught applied physics at Harvard. Following an early suggestion of Le Corbeiller's, Goodwin characterized the
business cycle Business cycles are intervals of general expansion followed by recession in economic performance. The changes in economic activity that characterize business cycles have important implications for the welfare of the general population, governmen ...
as a non-linear
self-oscillation Self-oscillation is the generation and maintenance of a periodic motion by a source of power that lacks any corresponding periodicity. The oscillator itself controls the phase with which the external power acts on it. Self-oscillators are therefor ...
. Goodwin credited Le Corbeiller with teaching him
nonlinear dynamics In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathem ...
while Le Corbeiller credited Goodwin with the discovery of the two-stroke oscillator. Goodwin adopted the Lotka–Volterra equations for the
population dynamics Population dynamics is the type of mathematics used to model and study the size and age composition of populations as dynamical systems. Population dynamics is a branch of mathematical biology, and uses mathematical techniques such as differenti ...
of a predator and a prey species as the basis of the Goodwin model (economics), Goodwin model (or Goodwin's class struggle model) of
economic growth In economics, economic growth is an increase in the quantity and quality of the economic goods and Service (economics), services that a society Production (economics), produces. It can be measured as the increase in the inflation-adjusted Outp ...
. In his model, employed workers have the role of predators as their wage demands squeeze profits and hence investment, causing a subsequent increase in unemployment. Another model, Goodwin's non-linear accelerator, is also a model of endogenous
cycles Cycle, cycles, or cyclic may refer to: Anthropology and social sciences * Cyclic history, a theory of history * Cyclical theory, a theory of American political history associated with Arthur Schlesinger, Sr. * Social cycle, various cycles in ...
in economic activity in which the cycles do not rely on outside shocks or structurally unstable parameters. "A Growth Cycle" (1967) saw Goodwin utilise Volterra's equations to formalise
Karl Marx Karl Marx (; 5 May 1818 – 14 March 1883) was a German philosopher, political theorist, economist, journalist, and revolutionary socialist. He is best-known for the 1848 pamphlet '' The Communist Manifesto'' (written with Friedrich Engels) ...
's theory of economic cycles..


Major articles

* "Multiplier Effects of a Balanced Budget, Notes", 1946, ''
Econometrica ''Econometrica'' is a peer-reviewed academic journal of economics, publishing articles in many areas of economics, especially econometrics. It is published by Wiley-Blackwell on behalf of the Econometric Society. The current editor-in-chief is ...
''. * "Innovations and the Irregularity of Economics Cycles", 1946, ''
Review of Economics and Statistics ''The Review of Economics and Statistics'' is a peer-reviewed academic journal that covers applied economics, with specific relevance to the scope of econometrics. The editors-in-chief are Will Dobbie (Harvard University) and Raymond Fisman (Bost ...
''. * "Dynamic Coupling with Especial Reference to Markets Having Production Lags", 1947, ''Econometrica''. * "The Business Cycle as a Self-Sustaining Oscillation", 1949, ''Econometrica''. * "The Multiplier as a Matrix", 1949, '' Economic Journal''. * "A Nonlinear Theory of the Cycle", 1950, ''
Review of Economic Studies ''The Review of Economic Studies'' (also known as ''REStud'') is a quarterly peer-reviewed academic journal covering economics. The journal is widely considered one of the top 5 journals in economics. It is managed by the editorial board currently ...
''. * "Does the Matrix Multiplier Oscillate?", 1950, ''Economic Journal''. * "The Nonlinear Accelerator and the Persistence of Business Cycles", 1951, ''Econometrica''. * "The Optimal Growth Path for an Underdeveloped Economy", 1961, ''Economic Journal''. * "A Growth Cycle", 1967, in Feinstein, editor, ''Socialism, Capitalism and Economic Growth''. * "A Growth Cycle", 1972, in E.K. Hunt and J.G. Schwatz, editors, ''A Critique of Economic Theory''. * "A Note on Wage, Profits and Fluctuating Growth Rate", 1983, ''Cambridge Journal of Economics''. * "Disaggregating Models of Fluctuating Growth", 1984, in Goodwin et al., editors, Non-linear Models of Fluctuating Growth. * "Swinging Along the Turnpike with von Neumann and Sraffa", 1986, ''Cambridge Journal of Economics''. * "The Dynamics of a Capitalist Economy: A multi-sectoral approach," with L.F. Punzo, 1987. * "The Multiplier-Accelerator Discretely Revisited", 1988, in Ricci and Vellupilai, editors, ''Growth cycles and multisectoral economics, the Goodwin tradition''. * "Swinging Along the Autostrada: Cyclical fluctuations along the von Neumann Ray", 1989, in Dore et al., ''John von Neumann and Modern Economics''. * ''Essays in Nonlinear Economic Dynamics'', 1989. * ''Chaotic Economic Dynamics'', 1990. * "Schumpeter, Keynes and the Theory of Economic Evolution", 1991, ''Journal of Evolutionary Economics''. * "Nonlinear Dynamics and Economic Evolution", 1991, in Niels Thygesen et al., editors, ''Business Cycles''. For more details on Goodwin's professional contributions see: * ''Nonlinear and Mutisectoral Macrodynamics: Essays in Honour of Richard Goodwin.'' (ed. K. Velupillai), Macmillan, London, 1989. * "The Vintage Economist", ''The Journal of Economic Behaviour and Organisation'', Vol. 37, No. 1, September 1998, pp. 1–31. * "Richard Goodwin: 1913-1996", ''The Economic Journal'', Vol. 108, September 1998, pp. 1436–1449.


References

Notes Bibliography * * * * *


Further reading

* Vianello, F.
988 Year 988 ( CMLXXXVIII) was a leap year starting on Sunday of the Julian calendar. Events By place Byzantine Empire * Fall – Emperor Basil II, supported by a contingent of 6,000 Varangians (the future Varangian Guard), organiz ...
"A critique of Professor Goodwin's Critique of Sraffa", in: Ricci, G. and Velupillai, K. (eds.), ''Growth, Cycles and Multisectoral Economics: the Goodwin Tradition'', Berlin, Sringer-Verlag, .
Goodwin's Non-Linear Accelerator by J.C. McAnulty, J.B. Naines and Robert H. Strotz, 1953, Econometrica
{{DEFAULTSORT:Goodwin, Richard M 1913 births 1996 deaths People from New Castle, Indiana American Marxists Post-Keynesian economists Harvard University alumni Harvard University faculty Academic staff of the University of Siena 20th-century American economists Fellows of the Econometric Society Fellows of Peterhouse, Cambridge