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Kenneth Arrow

Kenneth Joseph Arrow (23 August 1921 – 21 February 2017) was an American economist, mathematician, writer, and political theorist. He was the joint winner of the Nobel Memorial Prize in Economic Sciences with John Hicks in 1972.

Kenneth Arrow
Arrow in 1996
Born
Kenneth Joseph Arrow

(1921-08-23)23 August 1921
New York City, U.S.
Died21 February 2017(2017-02-21) (aged 95)
Academic career
InstitutionStanford University
Field
School or
tradition
Neoclassical economics
Alma mater
Doctoral
advisor
Harold Hotelling
Doctoral
students
Influences
Contributions
Awards
Information at IDEAS / RePEc
Websitehealthpolicy.fsi.stanford.edu/people/kenneth_j_arrow

In economics, he was a major figure in post-World War II neo-classical economic theory. Many of his former graduate students have gone on to win the Nobel Memorial Prize themselves. His most significant works are his contributions to social choice theory, notably "Arrow's impossibility theorem", and his work on general equilibrium analysis. He has also provided foundational work in many other areas of economics, including endogenous growth theory and the economics of information.

Education and early career

Arrow was born on 23 August 1921, in New York City.[3] Arrow's mother, Lilian (Greenberg), was from Iași, Romania, and his father, Harry Arrow, was from nearby Podu Iloaiei.[4][5] The Arrow family were Romanian Jews.[3][6][7] His family was very supportive of his education.[3] Growing up during the Great Depression, he embraced socialism in his youth. He would later move away from socialism, but his views retained a left-leaning philosophy.[8]

He graduated from Townsend Harris High School and then earned a Bachelor's degree from the City College of New York in 1940 in mathematics, where he was a member of Sigma Phi Epsilon. He then attended Columbia University for graduate studies, obtaining a Master's degree in mathematics in June 1941.[9] While there, Arrow studied under Harold Hotelling, who influenced him to change fields to economics.[8] He served as a weather officer in the United States Army Air Forces from 1942 to 1946.[10][3]

Academic career

From 1946 to 1949 Arrow spent his time partly as a graduate student at Columbia and partly as a research associate at the Cowles Commission for Research in Economics at the University of Chicago. During that time he also held the rank of Assistant Professor in Economics at the University of Chicago and worked at the RAND Corporation in California. He left Chicago to take up the post of Acting Assistant Professor of Economics and Statistics at Stanford University. In 1951, he earned his PhD from Columbia.[9] He served in the government on the staff of the Council of Economic Advisers in the 1960s with Robert Solow.[11] In 1968, he left Stanford for the position of Professor of Economics at Harvard University. It was during his tenure there that he received the Nobel Prize in Economics.[9]

Arrow returned to Stanford in 1979 and became the Joan Kenney Professor of Economics and Professor of Operations Research. He retired in 1991. As a Fulbright Distinguished Chair, in 1995 he taught Economics at the University of Siena. He was also a founding member of the Pontifical Academy of Social Sciences and a member of the Science Board of Santa Fe Institute. At various stages in his career he was a Fellow of Churchill College, Cambridge.[9] He was one of the founding editors of the Annual Review of Economics, which was first published in 2009.[12]

Five of his former students have gone on to become Nobel Prize winners, namely John Harsanyi, Eric Maskin, Roger Myerson, Michael Spence and Joseph E. Stiglitz.[13] A collection of Arrow's papers is housed at the Rubenstein Library at Duke University.[14]

Arrow's impossibility theorem

Arrow's monograph Social Choice and Individual Values derives from his 1951 PhD thesis.

If we exclude the possibility of interpersonal comparisons of utility, then the only methods of passing from individual tastes to social preferences which will be satisfactory and which will be defined for a wide range of sets of individual orderings are either imposed or dictatorial.[15]

In what he named the General Impossibility Theorem, he theorized that, unless we accept to compare the levels of utility reached by different individuals, it is impossible to formulate a social preference ordering that satisfies all of the following conditions:[16]

  1. Nondictatorship: The preferences of an individual should not become the group ranking without considering the preferences of others.
  2. Individual Sovereignty: each individual should be able to order the choices in any way and indicate ties
  3. Unanimity: If every individual prefers one choice to another, then the group ranking should do the same
  4. Freedom From Irrelevant Alternatives: If a choice is removed, then the others' order should not change
  5. Uniqueness of Group Rank: The method should yield the same result whenever applied to a set of preferences. The group ranking should be transitive.

The theorem has implications for welfare economics and theories of justice, and for voting theory (it extends the Condorcet paradox). Following Arrow's logical framework, Amartya Sen formulated the liberal paradox which argued that given a status of "Minimal Liberty" there was no way to obtain Pareto optimality, nor to avoid the problem of social choice of neutral but unequal results.[16]

General equilibrium theory

Work by Arrow and Gérard Debreu and simultaneous work by Lionel McKenzie offered the first rigorous proofs of the existence of a market clearing equilibrium.[17] For this work and his other contributions, Debreu won the 1983 Nobel Prize in Economics.[18] Arrow went on to extend the model and its analysis to include uncertainty, the stability. His contributions to the general equilibrium theory were influenced by Adam Smith's Wealth of Nations.[3] Written in 1776, The Wealth of Nations is an examination of economic growth brought forward by the division of labor, by ensuring interdependence of individuals within society.[19]

In 1974, The American Economic Association published the paper written by Kenneth Arrow, General Economic Equilibrium: Purpose, Analytic Techniques, Collective Choice, where he states:

From the time of Adam Smith's Wealth of Nations in 1776, one recurrent theme of economic analysis has been the remarkable degree of coherence among the vast numbers of individual and seemingly separate decisions about the buying and selling of commodities. In everyday, normal experience, there is something of a balance between the amounts of goods and services that some individuals want to supply and the amounts that other, different individuals want to sell. Would-be buyers ordinarily count correctly on being able to carry out their intentions, and would-be sellers do not ordinarily find themselves producing great amounts of goods that they cannot sell. This experience of balance is indeed so widespread that it raises no intellectual disquiet among laymen; they take it so much for granted that they are not disposed to understand the mechanism by which it occurs.[20]

Fundamental theorems of welfare economics

In 1951, Arrow presented the first and second fundamental theorems of welfare economics and their proofs without requiring differentiability of utility, consumption, or technology, and including corner solutions.[21]

Endogenous-growth theory

Arrow was one of the precursors of endogenous growth theory, which seeks to explain the source of technical change, which is a key driver of economic growth. Until this theory came to prominence, technical change was assumed to occur exogenously — that is, it was assumed to occur outside economic activities, and was outside (exogenous) to common economic models. At the same time there was no economic explanation for why it occurred. Endogenous-growth theory provided standard economic reasons for why firms innovate, leading economists to think of innovation and technical change as determined by economic actors, that is endogenously to economic activities, and thus belong inside the model. Endogenous growth theory started with Paul Romer's 1986 paper,[22] borrowing from Arrow's 1962 "learning-by-doing" model which introduced a mechanism to eliminate diminishing returns in aggregate output.[3][23] A literature on this theory has developed subsequently to Arrow's work.[24]

Information economics

In other pioneering research, Arrow investigated the problems caused by asymmetric information in markets. In many transactions, one party (usually the seller) has more information about the product being sold than the other party. Asymmetric information creates incentives for the party with more information to cheat the party with less information; as a result, a number of market structures have developed, including warranties and third party authentication, which enable markets with asymmetric information to function. Arrow analysed this issue for medical care (a 1963 paper entitled "Uncertainty and the Welfare Economics of Medical Care", in the American Economic Review);[25] later researchers investigated many other markets, particularly second-hand assets, online auctions and insurance.

Awards and honors

Arrow was awarded the John Bates Clark Medal in 1957[26] and was elected a Fellow of the American Academy of Arts and Sciences in 1959.[27] In 1968, he was elected to both the United States National Academy of Sciences[28] and the American Philosophical Society.[29] He was the joint winner of the Nobel Memorial Prize in Economics with John Hicks in 1972 and the 1986 recipient of the von Neumann Theory Prize.[9] He was one of the recipients of the 2004 National Medal of Science, the nation's highest scientific honor, presented by President George W. Bush for his contributions to research on the problem of making decisions using imperfect information and his research on bearing risk.[4][30]

He has received honorary doctorates from the University of Chicago (1967), the University of Vienna (1971) the City University of New York (1972).[9] On 2 June 1995 he received an honorary doctorate from the Faculty of Social Sciences at Uppsala University, Sweden.[31] He was elected a Foreign Member of the Royal Society (ForMemRS) in 2006.[32] He was elected to the 2002 class of Fellows of the Institute for Operations Research and the Management Sciences.[33]

Personal life and death

Arrow was a brother to the economist Anita Summers, uncle to economist and former Treasury Secretary and Harvard President Larry Summers, and brother-in-law of the late economists Robert Summers and Paul Samuelson.[34] In 1947, he married Selma Schweitzer, graduate in economics at the University of Chicago[35] and psychotherapist, who died in 2015; they had two children, David Michael (b. 1962), an actor,[36] and Andrew Seth (b. 1965), an actor/singer.[9]

Arrow was well known for being a polymath, possessing prodigious knowledge of subjects far removed from economics. On one occasion (recounted by Eric Maskin), in an attempt to artificially test Arrow's knowledge, the junior faculty agreed to closely study the breeding habits of gray whales — a suitably obscure topic — and discuss it in his presence. To their surprise, Arrow already was familiar with the work they had studied and, in addition, thought it had been refuted by other research.[34]

Arrow died in his Palo Alto, California home on 21 February 2017 at the age of 95.[34]

Publications

  • Arrow, Kenneth J. (1951a). "Alternative approaches to the theory of choice in risk-taking situations". Econometrica. The Econometric Society. 19 (4): 404–37. doi:10.2307/1907465. JSTOR 1907465.
  • Arrow, Kenneth J. (1951b). Social Choice and Individual Values (1st ed.). New Haven, New York / London: J. Wiley / Chapman & Hall. OCLC 892549124.
Reprinted as: Arrow, Kenneth J. (1963). Social Choice and Individual Values (2nd ed.). New Haven: Yale University Press. ISBN 9780300013641.
Also available as: Arrow, Kenneth J.; Hurwicz, Leonid (1977). Appendix: An optimality criterion for decision-making under ignorance. Cambridge Books Online. pp. 461–72. doi:10.1017/CBO9780511752940.015. ISBN 9780511752940.
and as: Arrow, Kenneth J.; Hurwicz, Leonid (1977), "Appendix: An optimality criterion for decision-making under ignorance", in Arrow, Kenneth J.; Hurwicz, Leonid (eds.), Studies in resource allocation processes, Cambridge New York: Cambridge University Press, pp. 461–72, ISBN 9780521215220.
  • Arrow, Kenneth J.; Debreu, Gérard (July 1954). "Existence of an equilibrium for a competitive economy". Econometrica. The Econometric Society. 22 (3): 265–90. doi:10.2307/1907353. JSTOR 1907353.
  • Arrow, Kenneth J. (February 1959a). "Functions of a theory of behaviour under uncertainty". Metroeconomica. Wiley. 11 (1–2): 12–20. doi:10.1111/j.1467-999X.1959.tb00258.x.
  • Arrow, Kenneth J. (1959b), "Toward a theory of price adjustment", in Abramovitz, Moses; et al. (eds.), The allocation of economic resources: essays in honor of Bernard Francis Haley, Stanford, California: Stanford University Press, OCLC 490147128.
  • Arrow, Kenneth J. (1960), "Price-quantity adjustments in multiple markets with rising demands", 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. 3–15, ISBN 9780804700214.
  • Arrow, Kenneth J.; Suppes, Patrick; Karlin, Samuel (1960). Mathematical models in the social sciences, 1959: Proceedings of the first Stanford symposium. Stanford, California: Stanford University Press. ISBN 9780804700214.
Including: Arrow, Kenneth J. Price-quantity adjustments in multiple markets with rising demands, pp. 3–15.
Reprinted as: Arrow, Kenneth J. (1983b), "The organization of economic activity: issues pertinent to the choice of market versus non-market allocations", in Arrow, Kenneth J. (ed.), Collected papers of Kenneth J. Arrow, volume 2: general equilibrium, Cambridge, Massachusetts: Belknap Press, pp. 133–55, ISBN 9780674137615.
Also reprinted as a pdf.
Reprinted as: Arrow, Kenneth J. (1983a), "Extended sympathy and the possibility of social choice", in Arrow, Kenneth J. (ed.), Collected papers of Kenneth J. Arrow, volume 1: social Choice and justice, Cambridge, Massachusetts: Belknap Press, ISBN 9780674137608.
Arrow, Kenneth J. (1983a). Collected papers of Kenneth J. Arrow, volume 1: social Choice and justice. Cambridge, Massachusetts: Belknap Press. ISBN 9780674137608.
Arrow, Kenneth J. (1983b). Collected papers of Kenneth J. Arrow, volume 2: general equilibrium. Cambridge, Massachusetts: Belknap Press. ISBN 9780674137615.
Arrow, Kenneth J. (1984a). Collected papers of Kenneth J. Arrow, volume 3: individual choice under certainty and uncertainty. Cambridge, Massachusetts: Belknap Press. ISBN 9780674137622.
Arrow, Kenneth J. (1984b). Collected papers of Kenneth J. Arrow, volume 4: the economics of information. Cambridge, Massachusetts: Belknap Press. ISBN 9780674137639.
Arrow, Kenneth J. (1985a). Collected papers of Kenneth J. Arrow, volume 5: production and capital. Cambridge, Massachusetts: Belknap Press. ISBN 9780674137776.
Arrow, Kenneth J. (1985b). Collected papers of Kenneth J. Arrow, volume 6: applied economics. Cambridge, Massachusetts: Belknap Press. ISBN 9780674137783.
Also available online as: Arrow, Kenneth J. (2008). "Arrow's theorem". The New Palgrave Dictionary of Economics (2nd ed.). Palgrave Macmillan. pp. 241–245. doi:10.1057/9780230226203.0061. ISBN 978-0-333-78676-5.
Also available online as: Arrow, Kenneth J. (2008). "Hotelling, Harold (1895–1973)". The New Palgrave Dictionary of Economics (2nd ed.). Palgrave Macmillan. pp. 73–75. doi:10.1057/9780230226203.0747. ISBN 978-0-333-78676-5.
  • Arrow, Kenneth J.; Debreu, Gérard (2001). Landmark papers in general equilibrium theory, social choice and welfare. Cheltenham, UK Northampton, Massachusetts, USA: Edward Elgar Publishing. ISBN 9781840645699.
  • Arrow, Kenneth J. (June 2009). "Some developments in economic theory since 1940: an eyewitness account". Annual Review of Economics. Wiley. 1: 1–16. doi:10.1146/annurev.economics.050708.143405.
  • Arrow, Kenneth J.; Anderson, Philip W.; Pines, David (1988). The economy as an evolving complex system: the proceedings of the evolutionary paths of the global economy workshop, held September, 1987 in Santa Fe, New Mexico. Redwood City, California: Addison-Wesley Pub. Co. ISBN 9780201156850.
  • Arrow, Kenneth J.; Bensoussan, Alain; Feng, Qi; Sethi, Suresh P. (2007). "Optimal Savings and the value of population". PNAS. 104 (47): 18421–18426. Bibcode:2007PNAS..10418421A. doi:10.1073/pnas.0708030104. PMC 2141792. PMID 17984059.

See also

References

  1. ^ Dewar, Diane M. (2017). Essentials of Health Economics. Jones & Bartlett Publishers. ISBN 978-1-284-05462-0.
  2. ^ Arrow, Kenneth Joseph (2017). On Ethics and Economics: Conversations with Kenneth J. Arrow. Routledge. pp. 12, 33. ISBN 978-1-138-67606-0.
  3. ^ a b c d e f Maskin, Eric S. (2 August 2019). "The Economics of Kenneth J. Arrow: A Selective Review". Annual Review of Economics. 11 (1): 1–26. doi:10.1146/annurev-economics-080218-030323. ISSN 1941-1383. S2CID 164272068. Retrieved 27 March 2023.
  4. ^ a b Velupillai, K. Vela (December 2019). "Kenneth Joseph Arrow. 23 August 1921—21 February 2017". Biographical Memoirs of Fellows of the Royal Society. 67: 9–28. doi:10.1098/rsbm.2019.0002. ISSN 0080-4606. S2CID 186214334. Retrieved 28 March 2023.
  5. ^ Feiwel, George R., ed. (1 January 2016). Arrow and the Foundations of the Theory of Economic Policy. Springer. ISBN 978-1-349-07357-3.
  6. ^ Wahid, Abu N.M. (2002). Frontiers of Economics: Nobel Laureates of the Twentieth Century. Greenwood Publishing. p. 5. ISBN 0-313-32073-X.
  7. ^ Pressman, Steven (1999). Fifty major economists: Business & Economics. Routledge Publishing. p. 177. ISBN 0-415-13480-3.
  8. ^ a b Klein, Daniel B. (2013). "Kenneth J. Arrow [Ideological Profiles of the Economics Laureates]" (PDF). Econ Journal Watch. 10 (3): 268–281. Retrieved 28 March 2023.
  9. ^ a b c d e f g Kenneth Arrow on Nobelprize.org  
  10. ^ "Kenneth J. Arrow, MA, PhD". Stanford University. Retrieved 1 November 2014.
  11. ^ D., S. (25 February 2010). "The best since the 1960s?". The Economist. Retrieved 28 March 2023.
  12. ^ Arrow, Kenneth J.; Bresnahan, Timothy (2009). "Preface". Annual Review of Economics. 1. doi:10.1146/annurev.ec.1.081709.100001.
  13. ^ Stefancic, Mitja (July 2021). "Review of J. Maesse et al. (2022) "Power and Influence of Economists: Contributions to the Social Studies of Economics" | World Economics Association". WEA Commentaries. 11 (2): 11–12. Retrieved 28 March 2023.
  14. ^ "Kenneth J. Arrow Papers, 1939–2009". Rubenstein Library, Duke University.
  15. ^ Arrow, Kenneth J. (1950). "A Difficulty in the Concept of Social Welfare". Journal of Political Economy. 58 (4): 328–346. doi:10.1086/256963. ISSN 0022-3808. JSTOR 1828886. S2CID 13923619.
  16. ^ a b Morreau, Michael (1 January 2016). "Arrow's Theorem". The Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University. Retrieved 25 February 2017.
  17. ^ Mas-Colell, Andreu; Whinston, Michael D.; Green, Jerry R. (1995). Microeconomic Theory. New York: Oxford University Press. pp. 691–93. ISBN 0-19-507340-1.
  18. ^ "Gerard Debreu – Biographical". nobelprize.org. Retrieved 25 February 2017.
  19. ^ Smith, Adam, and Andrew S. Skinner. The wealth of nations. London: Penguin Books, 1999. Print.
  20. ^ Arrow, Kenneth (1974). "General Economic Equilibrium: Purpose, Analytic Techniques, Collective Choice". American Economic Review. 64 (3): 253–72. JSTOR 1808881.
  21. ^ "Kenneth Arrow (1921– )". Concise Encyclopedia of Economics. Liberty Fund. 2008. Retrieved 18 June 2017.
  22. ^ Romer, Paul M. (1986). "Increasing Returns and Long-Run Growth" (PDF). Journal of Political Economy. 94 (5): 1002–37. doi:10.1086/261420. JSTOR 1833190. S2CID 6818002.
  23. ^ Arrow, Kenneth J. (1962). "The Economic Implications of Learning by Doing". The Review of Economic Studies. 29 (3): 155–73. doi:10.2307/2295952. JSTOR 2295952. S2CID 155029478.
  24. ^ Barro, Robert J.; Sala-i-Martin, Xavier (2004). Economic Growth (2nd ed.). Cambridge: MIT Press. pp. 212–20. ISBN 0-262-02553-1.
  25. ^ Savedoff, William D. (February 2004). "Kenneth Arrow and the birth of health economics". Bulletin of the World Health Organization. 82 (2): 139–140. hdl:10665/269064. ISSN 0042-9686. PMC 2585899. PMID 15042237. Retrieved 27 March 2023.
  26. ^ "John Bates Clark Medal". American Economic Association. Retrieved 25 February 2017.
  27. ^ "Kenneth Joseph Arrow". American Academy of Arts and Sciences. Retrieved 25 April 2011.
  28. ^ "Kenneth J. Arrow". National Academy of Sciences. Retrieved 16 September 2022.
  29. ^ "Dr. Kenneth J. Arrow". American Philosophical Society Member History. Retrieved 16 September 2022.
  30. ^ "The President's National Medal of Science: Recipient Details". National Science Foundation. Retrieved 28 March 2023.
  31. ^ "Honorary Doctors of the Faculty of Social Sciences - Uppsala University, Sweden". Uppsala University. Retrieved 27 March 2023.
  32. ^ "Central Secretariat and Library and Information Services List of Fellows of the Royal Society 1660 - 201" (PDF). The Royal Society. February 2020. Retrieved 28 March 2023.
  33. ^ "INFORMS Fellows: Class of 2002". INFORMS. Retrieved 27 March 2023.
  34. ^ a b c Weinstein, Michael M. (21 February 2017). "Kenneth Arrow, Nobel-Winning Economist Whose Influence Spanned Decades, Dies at 95". The New York Times. Retrieved 21 February 2017.
  35. ^ Heller, Walter P.; Starr, Ross M.; Starrett, David A., eds. (1986). "Kenneth J. Arrow". Social Choice and Public Decision Making: Essays in Honor of Kenneth J. Arrow, Volume I. Cambridge University Press. p. xiv. ISBN 0-521-30454-7.
  36. ^ David Arrow at IMDb

External links

  • Kenneth J. Arrow papers, 1921-2017, Duke University
  • Biography of Kenneth J. Arrow from the Institute for Operations Research and the Management Sciences
  • Kenneth Arrow on Nobelprize.org  
  • Kenneth Arrow: An Oral History, Stanford Historical Society Oral History Program, 2011
  • Kenneth J. Arrow: An Oral History, Stanford Historical Society Oral History Program, 2016

kenneth, arrow, kenneth, joseph, arrow, august, 1921, february, 2017, american, economist, mathematician, writer, political, theorist, joint, winner, nobel, memorial, prize, economic, sciences, with, john, hicks, 1972, arrow, 1996bornkenneth, joseph, arrow, 19. Kenneth Joseph Arrow 23 August 1921 21 February 2017 was an American economist mathematician writer and political theorist He was the joint winner of the Nobel Memorial Prize in Economic Sciences with John Hicks in 1972 Kenneth ArrowArrow in 1996BornKenneth Joseph Arrow 1921 08 23 23 August 1921New York City U S Died21 February 2017 2017 02 21 aged 95 Palo Alto California U S Academic careerInstitutionStanford UniversityFieldMicroeconomics General equilibrium theory Social choice theorySchool ortraditionNeoclassical economicsAlma materCity College of New York BS Columbia University MS PhD DoctoraladvisorHarold HotellingDoctoralstudentsDavid F Bradford Michael Bruno John Geanakoplos Joshua Gans Nancy Gordon Gillian Hadfield John Harsanyi Jan Kmenta Timur Kuran Jean Jacques Laffont Eric Maskin Roger Myerson Sebastian Pinera Andrea Prat Karl Shell Michael Spence Nancy Stokey 1 Menahem YaariInfluencesAlfred Tarski 2 ContributionsGeneral equilibrium theory Fundamental theorems of welfare economics Arrow s impossibility theorem Endogenous growth theoryAwardsJohn Bates Clark Medal 1957 Nobel Prize in Economics 1972 von Neumann Theory Prize 1986 National Medal of Science 2004 ForMemRS 2006 Information at IDEAS RePEcWebsitehealthpolicy wbr fsi wbr stanford wbr edu wbr people wbr kenneth wbr j wbr arrowIn economics he was a major figure in post World War II neo classical economic theory Many of his former graduate students have gone on to win the Nobel Memorial Prize themselves His most significant works are his contributions to social choice theory notably Arrow s impossibility theorem and his work on general equilibrium analysis He has also provided foundational work in many other areas of economics including endogenous growth theory and the economics of information Contents 1 Education and early career 2 Academic career 2 1 Arrow s impossibility theorem 2 2 General equilibrium theory 2 3 Fundamental theorems of welfare economics 2 4 Endogenous growth theory 2 5 Information economics 3 Awards and honors 4 Personal life and death 5 Publications 6 See also 7 References 8 External linksEducation and early career EditArrow was born on 23 August 1921 in New York City 3 Arrow s mother Lilian Greenberg was from Iași Romania and his father Harry Arrow was from nearby Podu Iloaiei 4 5 The Arrow family were Romanian Jews 3 6 7 His family was very supportive of his education 3 Growing up during the Great Depression he embraced socialism in his youth He would later move away from socialism but his views retained a left leaning philosophy 8 He graduated from Townsend Harris High School and then earned a Bachelor s degree from the City College of New York in 1940 in mathematics where he was a member of Sigma Phi Epsilon He then attended Columbia University for graduate studies obtaining a Master s degree in mathematics in June 1941 9 While there Arrow studied under Harold Hotelling who influenced him to change fields to economics 8 He served as a weather officer in the United States Army Air Forces from 1942 to 1946 10 3 Academic career EditFrom 1946 to 1949 Arrow spent his time partly as a graduate student at Columbia and partly as a research associate at the Cowles Commission for Research in Economics at the University of Chicago During that time he also held the rank of Assistant Professor in Economics at the University of Chicago and worked at the RAND Corporation in California He left Chicago to take up the post of Acting Assistant Professor of Economics and Statistics at Stanford University In 1951 he earned his PhD from Columbia 9 He served in the government on the staff of the Council of Economic Advisers in the 1960s with Robert Solow 11 In 1968 he left Stanford for the position of Professor of Economics at Harvard University It was during his tenure there that he received the Nobel Prize in Economics 9 Arrow returned to Stanford in 1979 and became the Joan Kenney Professor of Economics and Professor of Operations Research He retired in 1991 As a Fulbright Distinguished Chair in 1995 he taught Economics at the University of Siena He was also a founding member of the Pontifical Academy of Social Sciences and a member of the Science Board of Santa Fe Institute At various stages in his career he was a Fellow of Churchill College Cambridge 9 He was one of the founding editors of the Annual Review of Economics which was first published in 2009 12 Five of his former students have gone on to become Nobel Prize winners namely John Harsanyi Eric Maskin Roger Myerson Michael Spence and Joseph E Stiglitz 13 A collection of Arrow s papers is housed at the Rubenstein Library at Duke University 14 Arrow s impossibility theorem Edit Main article Arrow s impossibility theorem Arrow s monograph Social Choice and Individual Values derives from his 1951 PhD thesis If we exclude the possibility of interpersonal comparisons of utility then the only methods of passing from individual tastes to social preferences which will be satisfactory and which will be defined for a wide range of sets of individual orderings are either imposed or dictatorial 15 In what he named the General Impossibility Theorem he theorized that unless we accept to compare the levels of utility reached by different individuals it is impossible to formulate a social preference ordering that satisfies all of the following conditions 16 Nondictatorship The preferences of an individual should not become the group ranking without considering the preferences of others Individual Sovereignty each individual should be able to order the choices in any way and indicate ties Unanimity If every individual prefers one choice to another then the group ranking should do the same Freedom From Irrelevant Alternatives If a choice is removed then the others order should not change Uniqueness of Group Rank The method should yield the same result whenever applied to a set of preferences The group ranking should be transitive The theorem has implications for welfare economics and theories of justice and for voting theory it extends the Condorcet paradox Following Arrow s logical framework Amartya Sen formulated the liberal paradox which argued that given a status of Minimal Liberty there was no way to obtain Pareto optimality nor to avoid the problem of social choice of neutral but unequal results 16 General equilibrium theory Edit Main articles General equilibrium theory and Arrow Debreu model Work by Arrow and Gerard Debreu and simultaneous work by Lionel McKenzie offered the first rigorous proofs of the existence of a market clearing equilibrium 17 For this work and his other contributions Debreu won the 1983 Nobel Prize in Economics 18 Arrow went on to extend the model and its analysis to include uncertainty the stability His contributions to the general equilibrium theory were influenced by Adam Smith s Wealth of Nations 3 Written in 1776 The Wealth of Nations is an examination of economic growth brought forward by the division of labor by ensuring interdependence of individuals within society 19 In 1974 The American Economic Association published the paper written by Kenneth Arrow General Economic Equilibrium Purpose Analytic Techniques Collective Choice where he states From the time of Adam Smith s Wealth of Nations in 1776 one recurrent theme of economic analysis has been the remarkable degree of coherence among the vast numbers of individual and seemingly separate decisions about the buying and selling of commodities In everyday normal experience there is something of a balance between the amounts of goods and services that some individuals want to supply and the amounts that other different individuals want to sell Would be buyers ordinarily count correctly on being able to carry out their intentions and would be sellers do not ordinarily find themselves producing great amounts of goods that they cannot sell This experience of balance is indeed so widespread that it raises no intellectual disquiet among laymen they take it so much for granted that they are not disposed to understand the mechanism by which it occurs 20 Fundamental theorems of welfare economics Edit In 1951 Arrow presented the first and second fundamental theorems of welfare economics and their proofs without requiring differentiability of utility consumption or technology and including corner solutions 21 Endogenous growth theory Edit See also AK model Arrow was one of the precursors of endogenous growth theory which seeks to explain the source of technical change which is a key driver of economic growth Until this theory came to prominence technical change was assumed to occur exogenously that is it was assumed to occur outside economic activities and was outside exogenous to common economic models At the same time there was no economic explanation for why it occurred Endogenous growth theory provided standard economic reasons for why firms innovate leading economists to think of innovation and technical change as determined by economic actors that is endogenously to economic activities and thus belong inside the model Endogenous growth theory started with Paul Romer s 1986 paper 22 borrowing from Arrow s 1962 learning by doing model which introduced a mechanism to eliminate diminishing returns in aggregate output 3 23 A literature on this theory has developed subsequently to Arrow s work 24 Information economics Edit In other pioneering research Arrow investigated the problems caused by asymmetric information in markets In many transactions one party usually the seller has more information about the product being sold than the other party Asymmetric information creates incentives for the party with more information to cheat the party with less information as a result a number of market structures have developed including warranties and third party authentication which enable markets with asymmetric information to function Arrow analysed this issue for medical care a 1963 paper entitled Uncertainty and the Welfare Economics of Medical Care in the American Economic Review 25 later researchers investigated many other markets particularly second hand assets online auctions and insurance Awards and honors EditArrow was awarded the John Bates Clark Medal in 1957 26 and was elected a Fellow of the American Academy of Arts and Sciences in 1959 27 In 1968 he was elected to both the United States National Academy of Sciences 28 and the American Philosophical Society 29 He was the joint winner of the Nobel Memorial Prize in Economics with John Hicks in 1972 and the 1986 recipient of the von Neumann Theory Prize 9 He was one of the recipients of the 2004 National Medal of Science the nation s highest scientific honor presented by President George W Bush for his contributions to research on the problem of making decisions using imperfect information and his research on bearing risk 4 30 He has received honorary doctorates from the University of Chicago 1967 the University of Vienna 1971 the City University of New York 1972 9 On 2 June 1995 he received an honorary doctorate from the Faculty of Social Sciences at Uppsala University Sweden 31 He was elected a Foreign Member of the Royal Society ForMemRS in 2006 32 He was elected to the 2002 class of Fellows of the Institute for Operations Research and the Management Sciences 33 Personal life and death EditArrow was a brother to the economist Anita Summers uncle to economist and former Treasury Secretary and Harvard President Larry Summers and brother in law of the late economists Robert Summers and Paul Samuelson 34 In 1947 he married Selma Schweitzer graduate in economics at the University of Chicago 35 and psychotherapist who died in 2015 they had two children David Michael b 1962 an actor 36 and Andrew Seth b 1965 an actor singer 9 Arrow was well known for being a polymath possessing prodigious knowledge of subjects far removed from economics On one occasion recounted by Eric Maskin in an attempt to artificially test Arrow s knowledge the junior faculty agreed to closely study the breeding habits of gray whales a suitably obscure topic and discuss it in his presence To their surprise Arrow already was familiar with the work they had studied and in addition thought it had been refuted by other research 34 Arrow died in his Palo Alto California home on 21 February 2017 at the age of 95 34 Publications EditArrow Kenneth J 1951a Alternative approaches to the theory of choice in risk taking situations Econometrica The Econometric Society 19 4 404 37 doi 10 2307 1907465 JSTOR 1907465 Arrow Kenneth J 1951b Social Choice and Individual Values 1st ed New Haven New York London J Wiley Chapman amp Hall OCLC 892549124 Reprinted as Arrow Kenneth J 1963 Social Choice and Individual Values 2nd ed New Haven Yale University Press ISBN 9780300013641 dd Arrow Kenneth J Harris Theodore Marschak Jacob July 1951 Optimal inventory policy Econometrica The Econometric Society 19 3 250 72 doi 10 2307 1906813 JSTOR 1906813 S2CID 51766626 Arrow Kenneth J Hurwicz Leonid 1953 Hurwicz s optimality criterion for decision making under ignorance Technical Report 6 Stanford University Also available as Arrow Kenneth J Hurwicz Leonid 1977 Appendix An optimality criterion for decision making under ignorance Cambridge Books Online pp 461 72 doi 10 1017 CBO9780511752940 015 ISBN 9780511752940 and as Arrow Kenneth J Hurwicz Leonid 1977 Appendix An optimality criterion for decision making under ignorance in Arrow Kenneth J Hurwicz Leonid eds Studies in resource allocation processes Cambridge New York Cambridge University Press pp 461 72 ISBN 9780521215220 dd Arrow Kenneth J Debreu Gerard July 1954 Existence of an equilibrium for a competitive economy Econometrica The Econometric Society 22 3 265 90 doi 10 2307 1907353 JSTOR 1907353 Arrow Kenneth J February 1959a Functions of a theory of behaviour under uncertainty Metroeconomica Wiley 11 1 2 12 20 doi 10 1111 j 1467 999X 1959 tb00258 x Arrow Kenneth J 1959b Toward a theory of price adjustment in Abramovitz Moses et al eds The allocation of economic resources essays in honor of Bernard Francis Haley Stanford California Stanford University Press OCLC 490147128 Arrow Kenneth J 1960 Price quantity adjustments in multiple markets with rising demands 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 3 15 ISBN 9780804700214 Arrow Kenneth J Suppes Patrick Karlin Samuel 1960 Mathematical models in the social sciences 1959 Proceedings of the first Stanford symposium Stanford California Stanford University Press ISBN 9780804700214 Including Arrow Kenneth J Price quantity adjustments in multiple markets with rising demands pp 3 15 dd Arrow Kenneth J June 1962 The economic implications of learning by doing The Review of Economic Studies Oxford Journals 29 3 155 73 doi 10 2307 2295952 JSTOR 2295952 S2CID 155029478 Arrow Kenneth J December 1963 Uncertainty and the welfare economics of medical care PDF American Economic Review American Economic Association 53 5 941 73 JSTOR 1812044 Archived from the original PDF on 11 May 2011 Arrow Kenneth J 1968 Economic equilibrium in Merton Robert K Sills David L eds International encyclopedia of the social sciences vol 4 London and New York Macmillan and the Free Press pp 376 88 OCLC 310091393 Arrow Kenneth J 1969 The organization of economic activity issues pertinent to the choice of market versus non market allocations in Papers ed The analysis and evaluation of public expenditures the PPB system a compendium of papers submitted to the Subcommittee on Economy in Government of the Joint Economic Committee Congress of the United States vol 1 Washington D C Government Printing Office pp 47 64 OCLC 26897 Reprinted as Arrow Kenneth J 1983b The organization of economic activity issues pertinent to the choice of market versus non market allocations in Arrow Kenneth J ed Collected papers of Kenneth J Arrow volume 2 general equilibrium Cambridge Massachusetts Belknap Press pp 133 55 ISBN 9780674137615 Also reprinted as a pdf dd Arrow Kenneth J 1970 Essays in the theory of risk bearing Amsterdam North Holland Pub Co ISBN 9780720430479 Arrow Kenneth Hahn Frank 1971 General competitive analysis San Francisco Holden Day ISBN 9780816202751 Arrow Kenneth J Hurwicz Leonid 1972 Decision making under ignorance in Carter C F Ford J L eds Uncertainty and expectations in economics essays in honour of G L S Shackle Oxford New York Basil Blackwell Augustus M Kelley ISBN 9780631141709 Arrow Kenneth J 1974 The limits of organization New York Norton ISBN 9780393093230 Arrow Kenneth J February 1977 Extended sympathy and the possibility of social choice American Economic Review American Economic Association 67 1 219 25 JSTOR 1815907 Reprinted as Arrow Kenneth J 1983a Extended sympathy and the possibility of social choice in Arrow Kenneth J ed Collected papers of Kenneth J Arrow volume 1 social Choice and justice Cambridge Massachusetts Belknap Press ISBN 9780674137608 dd Arrow Kenneth J Intriligator Michael D 1981 Handbook of mathematical economics Handbook of Economics Series Amsterdam New York New York Elsevier North Holland ISBN 9780444861269 Arrow Kenneth J Collected papers of Kenneth J Arrow Cambridge Massachusetts Harvard University Press Arrow Kenneth J 1983a Collected papers of Kenneth J Arrow volume 1 social Choice and justice Cambridge Massachusetts Belknap Press ISBN 9780674137608 Arrow Kenneth J 1983b Collected papers of Kenneth J Arrow volume 2 general equilibrium Cambridge Massachusetts Belknap Press ISBN 9780674137615 Arrow Kenneth J 1984a Collected papers of Kenneth J Arrow volume 3 individual choice under certainty and uncertainty Cambridge Massachusetts Belknap Press ISBN 9780674137622 Arrow Kenneth J 1984b Collected papers of Kenneth J Arrow volume 4 the economics of information Cambridge Massachusetts Belknap Press ISBN 9780674137639 Arrow Kenneth J 1985a Collected papers of Kenneth J Arrow volume 5 production and capital Cambridge Massachusetts Belknap Press ISBN 9780674137776 Arrow Kenneth J 1985b Collected papers of Kenneth J Arrow volume 6 applied economics Cambridge Massachusetts Belknap Press ISBN 9780674137783 dd Arrow Kenneth J 1987 Rationality of self and others in an economic system in Hogarth Robin M Reder Melvin W eds Rational choice the contrast between economics and psychology Chicago University of Chicago Press pp 201 16 ISBN 9780226348575 Arrow Kenneth J Anderson Philip W Pines David eds 1988 The economy as an evolving complex system the proceedings of the Evolutionary Paths of the Global Economy Workshop held September 1987 in Santa Fe New Mexico Redwood City California Addison Wesley Pub Co ISBN 9780201156850 Book details Arrow Kenneth J Intriligator Michael D Harberger Arnold C Wolf Jr Charles Tullock Gordon April 1993 Economic integration and the future of the nation state Contemporary Economic Policy Wiley 11 2 1 22 doi 10 1111 j 1465 7287 1993 tb00376 x Arrow Kenneth J May 1994 Methodological individualism and social knowledge Richard T Ely Lecture PDF American Economic Review American Economic Association 84 2 1 9 JSTOR 2117792 Arrow Kenneth J 2008 Arrow s theorem in Durlauf Steven N Blume Lawrence E eds The new Palgrave dictionary of economics 8 volume set 2nd ed Basingstoke Hampshire New York Palgrave Macmillan ISBN 9780333786765 Also available online as Arrow Kenneth J 2008 Arrow s theorem The New Palgrave Dictionary of Economics 2nd ed Palgrave Macmillan pp 241 245 doi 10 1057 9780230226203 0061 ISBN 978 0 333 78676 5 dd Arrow Kenneth J 2008 Hotelling Harold 1895 1973 in Durlauf Steven N Blume Lawrence E eds The new Palgrave dictionary of economics 8 volume set 2nd ed Basingstoke Hampshire New York Palgrave Macmillan ISBN 9780333786765 Also available online as Arrow Kenneth J 2008 Hotelling Harold 1895 1973 The New Palgrave Dictionary of Economics 2nd ed Palgrave Macmillan pp 73 75 doi 10 1057 9780230226203 0747 ISBN 978 0 333 78676 5 dd Arrow Kenneth J Debreu Gerard 2001 Landmark papers in general equilibrium theory social choice and welfare Cheltenham UK Northampton Massachusetts USA Edward Elgar Publishing ISBN 9781840645699 Arrow Kenneth J June 2009 Some developments in economic theory since 1940 an eyewitness account Annual Review of Economics Wiley 1 1 16 doi 10 1146 annurev economics 050708 143405 Arrow Kenneth J Anderson Philip W Pines David 1988 The economy as an evolving complex system the proceedings of the evolutionary paths of the global economy workshop held September 1987 in Santa Fe New Mexico Redwood City California Addison Wesley Pub Co ISBN 9780201156850 Arrow Kenneth J Bensoussan Alain Feng Qi Sethi Suresh P 2007 Optimal Savings and the value of population PNAS 104 47 18421 18426 Bibcode 2007PNAS 10418421A doi 10 1073 pnas 0708030104 PMC 2141792 PMID 17984059 See also EditArrow information paradox List of economists List of Jewish Nobel laureates List of think tanksReferences Edit Dewar Diane M 2017 Essentials of Health Economics Jones amp Bartlett Publishers ISBN 978 1 284 05462 0 Arrow Kenneth Joseph 2017 On Ethics and Economics Conversations with Kenneth J Arrow Routledge pp 12 33 ISBN 978 1 138 67606 0 a b c d e f Maskin Eric S 2 August 2019 The Economics of Kenneth J Arrow A Selective Review Annual Review of Economics 11 1 1 26 doi 10 1146 annurev economics 080218 030323 ISSN 1941 1383 S2CID 164272068 Retrieved 27 March 2023 a b Velupillai K Vela December 2019 Kenneth Joseph Arrow 23 August 1921 21 February 2017 Biographical Memoirs of Fellows of the Royal Society 67 9 28 doi 10 1098 rsbm 2019 0002 ISSN 0080 4606 S2CID 186214334 Retrieved 28 March 2023 Feiwel George R ed 1 January 2016 Arrow and the Foundations of the Theory of Economic Policy Springer ISBN 978 1 349 07357 3 Wahid Abu N M 2002 Frontiers of Economics Nobel Laureates of the Twentieth Century Greenwood Publishing p 5 ISBN 0 313 32073 X Pressman Steven 1999 Fifty major economists Business amp Economics Routledge Publishing p 177 ISBN 0 415 13480 3 a b Klein Daniel B 2013 Kenneth J Arrow Ideological Profiles of the Economics Laureates PDF Econ Journal Watch 10 3 268 281 Retrieved 28 March 2023 a b c d e f g Kenneth Arrow on Nobelprize org Kenneth J Arrow MA PhD Stanford University Retrieved 1 November 2014 D S 25 February 2010 The best since the 1960s The Economist Retrieved 28 March 2023 Arrow Kenneth J Bresnahan Timothy 2009 Preface Annual Review of Economics 1 doi 10 1146 annurev ec 1 081709 100001 Stefancic Mitja July 2021 Review of J Maesse et al 2022 Power and Influence of Economists Contributions to the Social Studies of Economics World Economics Association WEA Commentaries 11 2 11 12 Retrieved 28 March 2023 Kenneth J Arrow Papers 1939 2009 Rubenstein Library Duke University Arrow Kenneth J 1950 A Difficulty in the Concept of Social Welfare Journal of Political Economy 58 4 328 346 doi 10 1086 256963 ISSN 0022 3808 JSTOR 1828886 S2CID 13923619 a b Morreau Michael 1 January 2016 Arrow s Theorem The Stanford Encyclopedia of Philosophy Metaphysics Research Lab Stanford University Retrieved 25 February 2017 Mas Colell Andreu Whinston Michael D Green Jerry R 1995 Microeconomic Theory New York Oxford University Press pp 691 93 ISBN 0 19 507340 1 Gerard Debreu Biographical nobelprize org Retrieved 25 February 2017 Smith Adam and Andrew S Skinner The wealth of nations London Penguin Books 1999 Print Arrow Kenneth 1974 General Economic Equilibrium Purpose Analytic Techniques Collective Choice American Economic Review 64 3 253 72 JSTOR 1808881 Kenneth Arrow 1921 Concise Encyclopedia of Economics Liberty Fund 2008 Retrieved 18 June 2017 Romer Paul M 1986 Increasing Returns and Long Run Growth PDF Journal of Political Economy 94 5 1002 37 doi 10 1086 261420 JSTOR 1833190 S2CID 6818002 Arrow Kenneth J 1962 The Economic Implications of Learning by Doing The Review of Economic Studies 29 3 155 73 doi 10 2307 2295952 JSTOR 2295952 S2CID 155029478 Barro Robert J Sala i Martin Xavier 2004 Economic Growth 2nd ed Cambridge MIT Press pp 212 20 ISBN 0 262 02553 1 Savedoff William D February 2004 Kenneth Arrow and the birth of health economics Bulletin of the World Health Organization 82 2 139 140 hdl 10665 269064 ISSN 0042 9686 PMC 2585899 PMID 15042237 Retrieved 27 March 2023 John Bates Clark Medal American Economic Association Retrieved 25 February 2017 Kenneth Joseph Arrow American Academy of Arts and Sciences Retrieved 25 April 2011 Kenneth J Arrow National Academy of Sciences Retrieved 16 September 2022 Dr Kenneth J Arrow American Philosophical Society Member History Retrieved 16 September 2022 The President s National Medal of Science Recipient Details National Science Foundation Retrieved 28 March 2023 Honorary Doctors of the Faculty of Social Sciences Uppsala University Sweden Uppsala University Retrieved 27 March 2023 Central Secretariat and Library and Information Services List of Fellows of the Royal Society 1660 201 PDF The Royal Society February 2020 Retrieved 28 March 2023 INFORMS Fellows Class of 2002 INFORMS Retrieved 27 March 2023 a b c Weinstein Michael M 21 February 2017 Kenneth Arrow Nobel Winning Economist Whose Influence Spanned Decades Dies at 95 The New York Times Retrieved 21 February 2017 Heller Walter P Starr Ross M Starrett David A eds 1986 Kenneth J Arrow Social Choice and Public Decision Making Essays in Honor of Kenneth J Arrow Volume I Cambridge University Press p xiv ISBN 0 521 30454 7 David Arrow at IMDbExternal links Edit Wikiquote has quotations related to Kenneth Arrow Kenneth J Arrow papers 1921 2017 Duke University Biography of Kenneth J Arrow from the Institute for Operations Research and the Management Sciences Kenneth Arrow on Nobelprize org Kenneth Arrow An Oral History Stanford Historical Society Oral History Program 2011 Kenneth J Arrow An Oral History Stanford Historical Society Oral History Program 2016AwardsPreceded bySimon Kuznets Laureate of the Nobel Memorial Prize in Economics1972 Served alongside John R Hicks Succeeded byWassily Leontief Retrieved from https en wikipedia org w index php title Kenneth Arrow amp oldid 1170002512, wikipedia, wiki, book, books, library,

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