Robert Solow

Robert Solow
Solow in 2008
Born
Robert Merton Solow

(1924-08-23)August 23, 1924
DiedDecember 21, 2023(2023-12-21) (aged 99)
EducationHarvard University (AB, AM, PhD)
Columbia University
Academic career
FieldMacroeconomics
InstitutionMassachusetts Institute of Technology
School or
tradition
Neo-Keynesian economics
Doctoral
advisor
Wassily Leontief
Doctoral
students
George Akerlof[1]
Mario Baldassarri[2]
Francis M. Bator[3]
Charlie Bean[4]
Alan Blinder[5]
Vittorio Corbo
Peter Diamond[6]
Avinash Dixit[7]
Mario Draghi
Alain Enthoven[8]
Ray Fair[9]
Ronald Findlay[10]
Robert J. Gordon[11]
Robert Hall[12]
Michael Intriligator[13]
Katsuhito Iwai[14]
Ronald W. Jones[15]
Arnold Kling
Meir Kohn [cz]
Glenn Loury[16]
Herbert Mohring[17]
William Nordhaus[18]
George Perry[19]
Robert Pindyck
Arjun Kumar Sengupta[20]
Steven Shavell[21]
Eytan Sheshinski [he][22]
Jeremy Siegel[23]
Joseph Stiglitz[24]
Harvey M. Wagner[25]
Martin Weitzman[26]
Halbert White[27]
InfluencesPaul Samuelson
ContributionsSolow–Swan model
AwardsJohn Bates Clark Medal (1961)
Nobel Memorial Prize in Economic Sciences (1987)
National Medal of Science (1999)
Presidential Medal of Freedom (2014)
Information at IDEAS / RePEc

Robert Merton Solow, GCIH (/ˈsl/; August 23, 1924 – December 21, 2023) was an American economist and Nobel laureate whose work on the theory of economic growth culminated in the exogenous growth model named after him.[28][29]

He was Institute Professor Emeritus of Economics at the Massachusetts Institute of Technology, where he was a professor from 1949 on.[30] He was awarded the John Bates Clark Medal in 1961,[31] the Nobel Memorial Prize in Economic Sciences in 1987,[32] and the Presidential Medal of Freedom in 2014.[33] Four of his PhD students, George Akerlof, Joseph Stiglitz, Peter Diamond, and William Nordhaus, later received Nobel Memorial Prizes in Economic Sciences in their own right.[34][35][36]

Biography

Robert Solow was born in Brooklyn, New York, into a Jewish family on August 23, 1924, the oldest of three children. He attended local public school and excelled academically early in life.[37] In September 1940, Solow went to Harvard College with a scholarship at the age of 16. At Harvard, his first studies were in sociology and anthropology as well as elementary economics.[37]

In 1942, Solow left the university and joined the U.S. Army. Because he was fluent in German, the Army put him on a task force whose primary purpose was to intercept, interpret, and send back German messages to base.[38] He served briefly in North Africa and Sicily, and later in Italy until he was discharged in August 1945.[37][39] Shortly after returning, he proceeded to marry his girlfriend, Barbara Lewis (died 2014), whom he had been dating for six weeks.[38]

Solow returned to Harvard in 1945, and studied under Wassily Leontief. As Leontief's research assistant he produced the first set of capital-coefficients for the input–output model. Then he became interested in statistics and probability models. From 1949 to 1950, he spent a fellowship year at Columbia University to study statistics more intensively. During that year he also worked on his Ph.D. thesis, an exploratory attempt to model changes in the size distribution of wage income using interacting Markov processes for employment-unemployment and wage rates.[37]

In 1949, just before going off to Columbia, he was offered and accepted an assistant professorship in the Economics Department at Massachusetts Institute of Technology. At MIT he taught courses in statistics and econometrics. Solow's interest gradually changed to macroeconomics. For almost 40 years, Solow and Paul Samuelson worked together on many landmark theories: von Neumann growth theory (1953), theory of capital (1956), linear programming (1958) and the Phillips curve (1960).

Solow also held several government positions, including senior economist for the Council of Economic Advisers (1961–62) and member of the President's Commission on Income Maintenance (1968–70). His studies focused mainly in the fields of employment and growth policies, and the theory of capital.

In 1961 he won the American Economic Association's John Bates Clark Award, given to the best economist under age forty. In 1979 he served as president of that association. In 1987, he won the Nobel Prize for his analysis of economic growth[37] and in 1999, he received the National Medal of Science. In 2011, he received an honorary degree in Doctor of Science from Tufts University.[40]

Solow was the founder of the Cournot Foundation and the Cournot Centre. After the death of his colleague Franco Modigliani, Solow accepted an appointment as new Chairman of the I.S.E.O Institute, an Italian nonprofit cultural association which organizes international conferences and summer schools. He was a founding trustee of the Economists for Peace and Security.[41]

Solow's students include Nobel Prize winners Peter Diamond, George Akerlof, Joseph Stiglitz, and William Nordhaus, as well as Michael Rothschild, Halbert White, Charlie Bean, Michael Woodford, and Harvey Wagner.

Solow was one of the signees of a 2018 amicus curiae brief that expressed support for Harvard University in the Students for Fair Admissions v. President and Fellows of Harvard College lawsuit. Signers of the brief include Alan B. Krueger, George A. Akerlof, Janet Yellen, and Cecilia Rouse.[42]

Solow was one of the supporters of Joe Biden's Inflation Reduction Act of 2022.[43]

Solow died at his home in Lexington, Massachusetts, on December 21, 2023, at the age of 99.[44]

Model of economic growth

Solow's model of economic growth, often known as the Solow–Swan neoclassical growth model as the model was independently discovered by Trevor W. Swan and published in "The Economic Record" in 1956, allows the determinants of economic growth to be separated into increases in inputs (labour and capital) and technical progress. The reason these models are called "exogenous" growth models is the saving rate is taken to be exogenously given. Subsequent work derives savings behavior from an inter-temporal utility-maximizing framework. Using his model, Solow (1957) calculated that about four-fifths of the growth in US output per worker was attributable to technical progress.

Bill Clinton awarding Solow the National Medal of Science in 1999

Solow also was the first to develop a growth model with different vintages of capital.[45] The idea behind Solow's vintage capital growth model is that new capital is more valuable than old (vintage) capital because new capital is produced through known technology. He first states that capital must be a finite entity because all of the resources on the earth are indeed limited.[38] Within the confines of Solow's model, this known technology is assumed to be constantly improving. Consequently, the products of this technology (the new capital) are expected to be more productive as well as more valuable.[45]

The idea lay dormant for some time perhaps because Dale W. Jorgenson (1966) argued that it was observationally equivalent with disembodied technological progress, as advanced earlier in Solow (1957). It was successfully advanced in subsequent research by Jeremy Greenwood, Zvi Hercowitz and Per Krusell (1997), who argued that the secular decline in capital goods prices could be used to measure embodied technological progress. They labeled the notion investment-specific technological progress. Solow (2001) approved. Both Paul Romer and Robert Lucas, Jr. subsequently developed alternatives to Solow's neoclassical growth model.[45]

To better communicate the meaning behind his work, Solow used a graphical design to illustrate his concepts. On the x-axis he puts capital per worker and for the y-axis he uses output per worker. The reason for graphing capital and output per worker is due to his assumption that the nation is at full employment. The first (top) curve represents the output produced at each given level of capital. The second (middle) curve shows the depreciating nature of capital which remains constantly positive. The third curve (bottom) conveys savings/investment per worker. As the old machinery wears down and breaks, new capital goods must be bought to replace the old. The point where the two lines meet is known as the steady state level, which means that the nation is producing just enough to be able to replace the old capital. Countries that are closer to the steady state level, on the left side, grow more slowly when compared to countries closer to the vertex of the graph. When countries are to the right of the steady state level, they are not growing because all the returns they create need to go to replacing and repairing their old capital.[46]

Since Solow's initial work in the 1950s, many more sophisticated models of economic growth have been proposed, leading to varying conclusions about the causes of economic growth. For example, rather than assuming, as Solow did, that people save at a given constant rate, subsequent work applied a consumer-optimization framework to derive savings behavior endogenously, allowing saving rates to vary at different points in time, depending on income flows, for example. In the 1980s efforts have focused on the role of technological progress in the economy, leading to the development of endogenous growth theory (or new growth theory). Today, economists use Solow's sources-of-growth accounting to estimate the separate effects on economic growth of technological change, capital, and labor.[45]

In 2022, Solow was still an emeritus Institute Professor in the MIT economics department..[47]

Honors

Publications

Books

  • Dorfman, Robert; Samuelson, Paul; Solow, Robert M. (1958). Linear programming and economic analysis. New York: McGraw-Hill.
  • Solow, Robert M. (October 15, 1970). Growth Theory: An Exposition (1970, second edition 2006). Oxford University Press. ISBN 978-0195012958.
  • Solow, Robert M. (1990). The Labor Market as a Social Institution. Blackwell. ISBN 978-1557860866.

Book chapters

  • Solow, Robert M. (1960), "Investment and technical progress", in Arrow, Kenneth J.; Karlin, Samuel; Suppes, Patrick (eds.), Mathematical models in the social sciences, 1959: Proceedings of the first Stanford symposium, Stanford mathematical studies in the social sciences, IV, Stanford, California: Stanford University Press, pp. 89–104, ISBN 9780804700214.
  • Solow, Robert M. (2001), "After technical progress and the aggregate production function", in Hulten, Charles R.; Dean, Edwin R.; Harper, Michael J. (eds.), New developments in productivity analysis, Chicago, Illinois: University of Chicago Press, pp. 173–78, ISBN 9780226360645.
  • Solow, Robert M. (2009), "Imposed environmental standards and international trade", in Kanbur, Ravi; Basu, Kaushik (eds.), Arguments for a better world: essays in honor of Amartya Sen | Volume II: Society, institutions and development, Oxford New York: Oxford University Press, pp. 411–24, ISBN 9780199239979.

Journal articles

See also: Nicholas Georgescu-Roegen and Joseph Stiglitz.

See also

References

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  3. ^ Bator, Francis M. (1956). Capital, Growth and Welfare—Theories of Allocation (Ph.D.). Massachusetts Institute of Technology. hdl:1721.1/97306.
  4. ^ Bean, Charles Richard (1982). Essays in unemployment and economic activity (Ph.D.). Massachusetts Institute of Technology. Archived from the original on May 26, 2020. Retrieved June 30, 2017.
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  6. ^ Peter A. Diamond – Autobiography – Nobelprize.org Archived April 1, 2012, at the Wayback Machine, PDF page 2
  7. ^ Dixit, Avinash K. (1968). Development Planning in a Dual Economy (Ph.D.). Massachusetts Institute of Technology. Retrieved July 1, 2017.
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  9. ^ Fair, Ray C. (1968). The Short Run Demand for Employment (Ph.D.). Massachusetts Institute of Technology. hdl:1721.1/80461.
  10. ^ Findlay, Ronald Edsel (1960). Essays on Some Theoretical Aspects of Economic Growth (Ph.D.). Massachusetts Institute of Technology. Retrieved June 30, 2017.
  11. ^ Gordon, Robert J. (1967). Problems in the measurement of real investment in the U.S. private economy (Ph.D.). MIT. hdl:1721.1/105586.
  12. ^ Hall, Robert E. (1967). Essays on the Theory of Wealth (Ph.D.). Massachusetts Institute of Technology. Retrieved July 5, 2017.
  13. ^ Intriligator, Michael D. (1963). Essays on productivity and savings (PhD thesis). MIT. OCLC 33811859.
  14. ^ Iwai, Katsuhito (1972). Essays on Dynamic Economic Theory – Fisherian Theory of Optimal Capital Accumulation and Keynesian Short-run Disequilibrium Dynamics (Ph.D.). Massachusetts Institute of Technology. Retrieved July 5, 2017.
  15. ^ Jones, Ronald Winthrop (1956). Essays in the Theory of International Trade and the Balance of Payments (Ph.D.). Massachusetts Institute of Technology. hdl:1721.1/106042.
  16. ^ Loury, Glenn Cartman (1976). Essays in the Theory of the Distribution of Income (Ph.D.). Massachusetts Institute of Technology. hdl:1721.1/27456.
  17. ^ Mohring, Herbert D. (1959). The life insurance industry: a study of price policy and its determinants (Ph.D.). Massachusetts Institute of Technology. hdl:1721.1/11790.
  18. ^ Nordhaus, William Dawbney. (1967). A Theory of Endogenous Technological Change (Ph.D.). Massachusetts Institute of Technology. Retrieved July 1, 2017. 18. Turgay Özkan|Turkish| date 1979| thesis: Rational Expectations- A game theoretic approach
  19. ^ Perry, George (1961). Aggregate wage determination and the problem of inflation (Ph.D.). Massachusetts Institute of Technology. Retrieved July 4, 2017.
  20. ^ Sengupta, Arjun Kumar (1963). A study in the constant-elasticity-of-substitution production function (Ph.D.). Massachusetts Institute of Technology. Retrieved July 4, 2017.
  21. ^ Shavell, Steven Mark (1973). Essays in Economic Theory (Ph.D.). Massachusetts Institute of Technology. Retrieved July 5, 2017.
  22. ^ Sheshinski, Eytan (1966). Essays on the theory of production and technical progress (PDF) (Ph.D.). MIT. Archived (PDF) from the original on August 6, 2020. Retrieved May 26, 2018.
  23. ^ Siegel, Jeremy J. (1971). Stability of a Monetary Economy with Inflationary Expectations (PDF) (Ph.D.). Massachusetts Institute of Technology. Archived (PDF) from the original on August 20, 2017. Retrieved July 5, 2017.
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  25. ^ Wagner, Harvey M. (1962). Statistical Management of Inventory Systems (Ph.D.). Massachusetts Institute of Technology. Retrieved June 30, 2017.
  26. ^ Weitzman, Martin (1967). Toward a theory of iterative economic planning (Ph.D.). MIT. Retrieved May 26, 2018.
  27. ^ Hausman, Jerry (2013), "Hal White: Time at MIT and Early Life Days of Research", in Chen, Xiaohong; Swanson, Norman R. (eds.), Recent Advances and Future Directions in Causality, Prediction, and Specification Analysis, New York: Springer, pp. 209–218, ISBN 978-1-4614-1652-4.
  28. ^ "Robert M. Solow | American economist". Encyclopedia Britannica. Archived from the original on August 1, 2017. Retrieved June 8, 2017.
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  32. ^ Solow, Robert M. "Robert M. Solow – Biographical". www.nobelprize.org. Archived from the original on December 12, 2017. Retrieved June 8, 2017.
  33. ^ Schulman, Kori (November 10, 2014). "President Obama Announces the Presidential Medal of Freedom Recipients". whitehouse.gov. Archived from the original on January 21, 2017. Retrieved June 8, 2017.
  34. ^ Dieterle, David A (2017). Economics: The Definitive Encyclopedia from Theory to Practice. Vol. 4. Greenwood. p. 376. ISBN 978-0313397073.
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  36. ^ Ivana Kottasová. "Nobel Prize in economics awarded to William Nordhaus and Paul Romer". CNN. Archived from the original on October 9, 2018. Retrieved October 10, 2018.
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  45. ^ a b c d Haines, Joel D.; Sharif, Nawaz M. (2006). "A framework for managing the sophistication of the components of technology for global competition". Competitiveness Review. 16 (2): 106–21. doi:10.1108/cr.2006.16.2.106.
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Sources

  • Greenwood, Jeremy; Krusell, Per; Hercowitz, Zvi (1997). "Long-run Implications of Investment-Specific Technological Progress". American Economic Review. 87: 343–362.
  • Greenwood, Jeremy; Krusell, Per (2007). "Growth Accounting with Investment-Specific Technological Progress: A Discussion of Two Approaches". Journal of Monetary Economics. 54 (4): 1300–1310. doi:10.1016/j.jmoneco.2006.02.008.
  • Jorgenson, Dale W. (1966). "The Embodiment Hypothesis". Journal of Political Economy. 74: 1–17. doi:10.1086/259105. S2CID 154389143.
Awards
Preceded by Laureate of the Nobel Memorial Prize in Economics
1987
Succeeded by

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Automobile mechanism This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Beam axle – news · newspapers · books · scholar · JSTOR (October 2021) (Learn how and when to remove this message) Diagonal Panhard rod bolted to a black rectangular profile beam axle on a front-wheel drive 2002 Mazda MPV. This is an exampl...

Gunter DemnigGunter Demnig (2019)Naissance 27 octobre 1947 (76 ans)Berlin (Allemagne)Période d'activité 1985-2021Nationalité  AllemandActivité ArtisteFormation Université des arts de BerlinÉcole des beaux-arts de CasselUniversité de CasselLieux de travail Allemagne, CologneDistinctions Liste détailléeChevalier de l'ordre du Mérite de la République fédérale d'Allemagne (2005)Alfred-Toepfer-Medaille (d) (2005)Obermayer German Jewish History Awards (en) (2005)Erich Mühsam...

 

 

Questa voce sull'argomento calciatori tedeschi è solo un abbozzo. Contribuisci a migliorarla secondo le convenzioni di Wikipedia. Segui i suggerimenti del progetto di riferimento. Marco ReichNazionalità Germania Calcio RuoloCentrocampista CarrieraSquadre di club1 1995-1996 Kaiserslautern II6 (0)1996-2001 Kaiserslautern117 (9)2001-2002 Colonia24 (0)2002-2004 Werder Brema17 (0)2004-2005 Derby County50 (7)2005-2007 Crystal Palace27 (2)2007-2008 Kic...