Kenneth Arrow

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Kenneth J. Arrow
Kenneth Arrow, Stanford University.jpg
National Medal of Science award ceremony, 2004
Born (1921-08-23) August 23, 1921 (age 93)
New York City, USA
Nationality United States
Institution Stanford University
Field Microeconomics
General equilibrium theory
Social choice theory
School/tradition Neoclassical economics
Alma mater Columbia University
City College of New York
Influences Alfred Tarski
Harold Hotelling
Influenced Amartya Sen
Allan Gibbard
John C. Harsanyi
Roger Myerson
A. Michael Spence
Eric S. Maskin
Nancy Stokey
Karl Shell
Anthony Downs
Wahidul Haque
Contributions General equilibrium theory
Fundamental theorems of welfare economics
Arrow's impossibility theorem
Endogenous growth theory
Awards John Bates Clark Medal (1957)
Nobel Prize in Economics (1972)
von Neumann Theory Prize (1986)
National Medal of Science (2004)
Information at IDEAS/RePEc

Kenneth Joseph Arrow (born August 23, 1921) is an American economist, writer, and political theorist. He is the joint winner of the Nobel Memorial Prize in Economics with John Hicks in 1972. To date, he is the youngest person to have received this award, at 51.

In economics, he is a 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.

Arrow remains active on the international scene through a variety of initiatives including trustee of Economists for Peace and Security and a member of the Advisory Board of Incentives for Global Health, the not-for-profit behind the Health Impact Fund.

Education and early career[edit]

Arrow was born on August 23, 1921, in New York City. Arrow's mother, Lilian, was from Iaşi (Romania), and his father, Harry, was from Podu Iloaiei (Iaşi, Romania).[1] Arrow family has Romanian Jewish origins.[2][3] His family was very supportive of his education.[4] 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 sensibility.[5]

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 attended Columbia University, for his graduate studies. While there, he studied under Harold Hotelling, and was greatly influenced by him.[5] He received a Master's degree in 1941. He served as a weather officer in the US Air Corps from 1942–1946.[6]

From 1946 to 1949 he 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. In 1951 he earned his Ph.D. from Columbia.[7]

Arrow is brother to the economist Anita Summers, uncle to economist Larry Summers, and brother-in-law of the late economists Robert Summers and Paul Samuelson.

Arrow and his wife Selma have two children, sons David and Andrew, both actors. Andrew is married to actress Donna Lynne Champlin.

Academic career[edit]

He is currently the Joan Kenney Professor of Economics and Professor of Operations Research, Emeritus at Stanford University. He is also a founding member of the Pontifical Academy of Social Sciences. He is also currently a member of the Science Board of Santa Fe Institute.

He is a trustee of Economists for Peace and Security. He was a convening lead author for the Intergovernmental Panel on Climate Change. He is also Editor of the Annual Review of Economics.

Five of his former students have gone on to become Nobel Prize winners. These include Eric Maskin, John Harsanyi, Michael Spence and Roger Myerson.[8]

He served in the government on the staff of the Council of Economic Advisers in the 1960s with Robert Solow.[9]

A collection of Arrow's papers is housed at the Rubenstein Library at Duke University.[10] He has an Erdős number of 3.

Contributions[edit]

Arrow's impossibility theorem[edit]

Arrow's monograph Social Choice and Individual Values derives from his Ph.D. thesis. In it he sets out a result (in one final form).

General Impossibility Theorem: It is impossible to formulate a social preference ordering that satisfies all of the following conditions:

  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. It was extended by Amartya Sen to 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.

An example of this would be to have the following choices to divide a cake between three people. Let us call them A, B and C.

Choice 1: A gets nothing, B and C get half each.
Choice 2: B gets nothing, A and C get half each.
Choice 3: C gets nothing, A and B get half each.
Choice 4: divide the cake equally.

Thus, if each person votes to get as much cake as possible, choice 4 would be third from the top in everyone's list, and would in any direct choice lose 2 to 1 against an unequal distribution. Since all of these choices are Pareto-optimal – no one's welfare can be improved without reducing the welfare of others – choice 4 would not be chosen, since there would always be other preferred choices.

General equilibrium theory[edit]

Working with Gérard Debreu, Arrow produced the first rigorous proof of the existence of a market clearing equilibrium, given certain restrictive assumptions. For this work and his other contributions, Debreu won the Nobel prize in 1983. Arrow went on to extend the model and its analysis to include uncertainty, the stability. His contributions to the general equilibrium theory were strongly influenced by Adam Smith's Wealth of Nations. 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.[11]

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 indeed so widespread that it raises no intellectual disquiet among laymen; they take it so much for granted that they are not supposed to understand the mechanism by which it occurs.”'[12]

Fundamental theorems of welfare economics[edit]

He presents the first and second fundamental theorems of welfare economics and their proofs without requiring differentiability of utility, consumption, or technology, and including corner solutions.

Endogenous-growth theory[edit]

Arrow was researching endogenous-growth theory (also known as new-growth theory), which sought 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. A literature on this theory has developed subsequently to Arrow's work.

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); later researchers investigated many other markets, particularly second-hand assets, online auctions and insurance.

Awards and honors[edit]

Arrow was elected a Fellow of the American Academy of Arts and Sciences in 1959.[13] 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.

Publications[edit]

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". (online book) (Cambridge Books Online): 461–472. doi:10.1017/CBO9780511752940.015. 
and as: Arrow, Kenneth J.; Hurwicz, Leonid (1977), "Appendix: An optimality criterion for decision-making under ignorance", in Arrow, Kenneth J.; Hurwicz, Leonid, Studies in resource allocation processes, Cambridge New York: Cambridge University Press, pp. 461–472, ISBN 9780521215220 
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., Collected papers of Kenneth J. Arrow, volume 2: general equilibrium, Cambridge, Massachusetts: Belknap Press, pp. 133–155, 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., 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 online, (2nd ed.) (Palgrave Macmillan). doi:10.1057/9780230226203.0061. 
Also available online as: Arrow, Kenneth J. (2008). "Hotelling, Harold (1895–1973)". The new Palgrave dictionary of economics online, (2nd ed.) (Palgrave Macmillan). doi:10.1057/9780230226203.0747. 

See also[edit]

References[edit]

  1. ^ "Premiat Nobel cu origini româneşti, Doctor Honoris Causa al Universităţii "Al. I. Cuza" din Iaşi". Jurnalul.ro. Retrieved 1 November 2014. 
  2. ^ Abu N.M. Wahid (2002). Frontiers of Economics: Nobel Laureates of the Twentieth Century. Greenwood Publishing. p. 5. ISBN 0-313-32073-X. 
  3. ^ Steven Pressman (1999). Fifty major economists: Business & Economics. Routledge Publishing. p. 177. ISBN 0-415-13480-3. 
  4. ^ "American Jewish Recipients of the Nobel Prize". Fau.edu. Retrieved 1 November 2014. 
  5. ^ a b "Econ Journal Watch - Ideological Profiles of the Economics Laureates". Econjwatch.org. Retrieved 1 November 2014. 
  6. ^ "Kenneth J. Arrow, MA, PhD". Stanford University. Retrieved 1 November 2014. 
  7. ^ "Kenneth J. Arrow - Biographical". Nobelprize.org. Retrieved 1 November 2014. 
  8. ^ John B. Shoven. "Kenneth Arrow Contributions to Economics" (PDF). Siepr.stanford.edu. Retrieved 1 November 2014. 
  9. ^ "American President". Millercenter.org. Retrieved 1 November 2014. 
  10. ^ "Kenneth J. Arrow Papers, 1939–2009.". Rubenstein Library, Duke University. 
  11. ^ Smith, Adam, and Andrew S. Skinner. The wealth of nations. London: Penguin Books, 1999. Print.
  12. ^ Arrow, Kenneth (1974). "General Economic Equilibrium: Purpose, Analytic Techniques, Collective Choice". American Economic Review 64 (3): 253–272. JSTOR 1808881. 
  13. ^ "Book of Members, 1780-2010: Chapter A". American Academy of Arts and Sciences. Retrieved 25 April 2011. 

External links[edit]