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, structure, space, models, and change. History On ...
and
economist An economist is a professional and practitioner in the 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 field there are ...
.


Background

Goodwin was born in
New Castle, Indiana New Castle is a city in Henry County, Indiana, east-northeast of Indianapolis, on the Big Blue River. The city is the county seat of Henry County. New Castle is home to New Castle Fieldhouse, the largest high school gymnasium in the world. T ...
. He received his BA and PhD at Harvard and taught there from 1942 until 1950. He fled the United States during the
McCarthy era McCarthyism is the practice of making false or unfounded accusations of subversion and treason, especially when related to anarchism, communism and socialism, and especially when done in a public and attention-grabbing manner. The term origina ...
, then taught at the
University of Cambridge The University of Cambridge is a public collegiate research university in Cambridge, England. Founded in 1209 and granted a royal charter by Henry III in 1231, Cambridge is the world's third oldest surviving university and one of its most pr ...
until 1979 and the
University of Siena The University of Siena ( it, Università degli Studi di Siena, abbreviation: UNISI) in Siena, Tuscany, is one of the oldest and first publicly funded universities in Italy. Originally called ''Studium Senese'', the institution was founded in 1240 ...
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 constituent college of the University of Cambridge in England, founded in 1284 by Hugh de Balsham, Bishop of Ely. Today, Peterhouse has 254 undergraduates, 116 full-time graduate students and 54 fellows. It is quite o ...
. 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 while a Rhodes Scholar at
Oxford Oxford () is a city in England. It is the county town and only city of Oxfordshire. In 2020, its population was estimated at 151,584. It is north-west of London, south-east of Birmingham and north-east of Bristol. The city is home to the ...
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 was a non-aggression pact between Nazi Germany and the Soviet Union that enabled those powers to partition Poland between them. The pact was signed in Moscow on 23 August 1939 by German Foreign Minister Joachim von Ri ...
..


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 systems to macroeconomics was sparked by
Philippe Le Corbeiller Philippe Emmanuel Le Corbeiller (January 11, 1891 – July 24, 1980) was a French-American electrical engineer, mathematician, physicist, and educator. After a career in France as an expert on the electronics of telecommunications, he became ...
, who taught applied physics at Harvard. Following an early suggestion of Le Corbeiller's, Goodwin characterized the
business cycle Business cycles are intervals of expansion followed by recession in economic activity. These changes have implications for the welfare of the broad population as well as for private institutions. Typically business cycles are measured by examin ...
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 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, mathematicians, and many other ...
while Le Corbeiller credited Goodwin with the discovery of the two-stroke oscillator. Goodwin adopted the Lotka–Volterra equations for the population dynamics 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 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 in economic activity in which the cycles do not rely on outside shocks or structurally unstable
parameters A parameter (), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when ...
. "A Growth Cycle" (1967) saw Goodwin utilise Volterra's equations to formalise
Karl Marx Karl Heinrich Marx (; 5 May 1818 – 14 March 1883) was a German philosopher, economist, historian, sociologist, political theorist, journalist, critic of political economy, and socialist revolutionary. His best-known titles are the 1848 ...
'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 103-year-old general journal that focuses on applied economics, with specific relevance to the scope of quantitative economics. The ''Review'', edited at the Harvard University’s K ...
''. * "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 ''The Economic Journal'' is a peer-reviewed academic journal of economics published on behalf of the Royal Economic Society by Oxford University Press. The journal was established in 1891 and publishes papers from all areas of economics.The edito ...
''. * "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. It was established in 1933 by a group of economists based in Britain and the United States. The original editorial team ...
''. * "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 “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