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Robert Aumann

From Wikipedia, the free encyclopedia
Israeli-American mathematician (born 1930)
Robert Aumann
ישראל אומן
Aumann in 2015
Born
Robert John Aumann

(1930-06-08)8 June 1930 (age 94)
NationalityIsraeli, American
Academic background
EducationCity College of New York (BS)
Massachusetts Institute of Technology (MS,PhD)
ThesisAsphericity of alternating linkages (1955)
Doctoral advisorGeorge Whitehead, Jr.
Academic work
DisciplineMathematical economics
Game theory
InstitutionsHebrew University of Jerusalem
Stony Brook University
Doctoral studentsDavid Schmeidler
Sergiu Hart
Abraham Neyman
Yair Tauman
AwardsNobel Memorial Prize in Economics
Erwin Plein Nemmers Prize in Economics
John von Neumann Theory Prize
Harvey Prize in Science and Technology
Israel Prize for Economical Research
Website

Robert John Aumann (Yisrael Aumann,Hebrew:ישראל אומן; born June 8, 1930) is anIsraeli-American mathematician, and a member of theUnited States National Academy of Sciences. He is a professor at the Center for the Study of Rationality in theHebrew University of Jerusalem. He also holds a visiting position atStony Brook University, and is one of the founding members of the Stony Brook Center for Game Theory.

Aumann received theNobel Memorial Prize in Economic Sciences in 2005 for his work on conflict and cooperation throughgame theory analysis.[1] He shared the prize withThomas Schelling.[1]

Early life and education

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Aumann was born inFrankfurt am Main, Germany, and fled to theUnited States with his family in 1938, two weeks before theKristallnacht pogrom. He attended theRabbi Jacob Joseph School, ayeshiva high school in New York City.[2]

Aumann graduated from theCity College of New York in 1950 with aB.S. inmathematics. He received hisM.S. in 1952, and hisPh.D. in Mathematics in 1955, both from theMassachusetts Institute of Technology. His doctoral dissertation,Asphericity of Alternating Linkages, concernedknot theory. His advisor wasGeorge Whitehead, Jr.[3]

Academic career

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In 1956 he joined the Mathematics faculty of theHebrew University of Jerusalem and has been a visiting professor atStony Brook University since 1989. He has held visiting professorship at theUniversity of California, Berkeley (1971, 1985–1986),Stanford University (1975–1976, 1980–1981), andUniversite Catholique de Louvain (1972, 1978, 1984).[4]

Mathematical and scientific contribution

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Aumann in 2005

Aumann's greatest contribution was in the realm ofrepeated games, which are situations in which players encounter the same situation over and over again.

Aumann was the first to define the concept ofcorrelated equilibrium in game theory, which is a type of equilibrium innon-cooperative games that is more flexible than the classicalNash equilibrium. Furthermore, Aumann has introduced the first purely formal account of the notion ofcommon knowledge in game theory. He collaborated withLloyd Shapley on theAumann–Shapley value. He is also known forAumann's agreement theorem, in which he argues that under his given conditions, twoBayesian rationalists with common prior beliefs cannot agree to disagree.[5]

Aumann andMaschler used game theory to analyzeTalmudic dilemmas.[6] They were able to solve the mystery about the"division problem", a long-standing dilemma of explaining the Talmudic rationale in dividing the heritage of a late husband to his three wives depending on the worth of the heritage compared to its original worth.[7] The article in that matter was dedicated to a son of Aumann, Shlomo, who was killed during the1982 Lebanon War, while serving as atank gunner in theIsrael Defense Forces's armored corps.

Aumann's Ph.D. students includeDavid Schmeidler,Sergiu Hart,Abraham Neyman, andYair Tauman.

Torah codes controversy

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Aumann has entered the controversy ofBible codes research. In his position as both areligious Jew and a man of science, the codes research holds special interest to him. He has partially vouched for the validity of the "Great Rabbis Experiment" by Doron Witztum,Eliyahu Rips, and Yoav Rosenberg, which was published inStatistical Science. Aumann not only arranged for Rips to give a lecture on Torah codes in theIsrael Academy of Sciences and Humanities, but sponsored the Witztum-Rips-Rosenberg paper for publication in theProceedings of the National Academy of Sciences. The academy requires a member to sponsor any publication in its Proceedings; the paper was turned down however.[8]

In 1996, a committee consisting ofRobert J. Aumann,Dror Bar-Natan,Hillel Furstenberg, Isaak Lapides, and Rips, was formed to examine the results that had been reported by H.J. Gans regarding the existence of "encoded" text in the bible foretelling events that took place many years after the Bible was written. The committee performed two additional tests in the spirit of the Gans experiments. Both tests failed to confirm the existence of the putative code.

After a long analysis of the experiment and the dynamics of the controversy, stating for example that "almost everybody included [in the controversy] made up their mind early in the game" Aumann concluded: "A priori, the thesis of the Codes research seems wildly improbable... Research conducted under my own supervision failed to confirm the existence of the codes – though it also did not establish their non-existence. So I must return to mya priori estimate, that the Codes phenomenon is improbable".[9]

Political views

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These are some of the themes of Aumann's Nobel[1] lecture, named "War and Peace":[10]

  1. War is not irrational, but must be scientifically studied in order to be understood, and eventually conquered;
  2. Repeated game study de-emphasizes the "now" for the sake of the "later";
  3. Simplistic peacemaking can cause war, while an arms race, credible war threats and mutually assured destruction can reliably prevent war.

Aumann is a member ofProfessors for a Strong Israel (PSI), a right-wing political group. Aumann opposedthe disengagement from Gaza in 2005 claiming that it was a crime againstGush Katif settlers and a serious threat to the security of Israel. Aumann drew on a case ingame theory called theBlackmailer Paradox to argue that giving land to the Arabs is strategically foolish based on the mathematical theory.[11] By presenting an unyielding demand, he claims that the Arab states will force Israel to "yield toblackmail due to the perception that it will leave the negotiating room with nothing if it is inflexible".

As a result of his political views, and his use of his research to justify them, the decision to give him the Nobel prize[1] was criticized in the European press. A petition to cancel his prize garnered signatures from 1,000 academics worldwide.[12]

In a speech to the religious Zionist youth movement,Bnei Akiva, Aumann got that Israel is in "deep trouble" due to his belief that anti-ZionistSatmar Jews might have been right in their condemnation of the original Zionist movement. "I fear the Satmars were right", he said, and quoted a verse fromPsalm 127: "Unless the Lord builds a house, its builders toil on it in vain." Aumann feels that the historical Zionist establishment failed to transmit its message to its successors, because it was secular. The only way that Zionism can survive, according to Aumann, is if it has a religious basis.[13]

In 2008, Aumann joined the right-wingreligious ZionistAhi political party, which was led at the time byEffi Eitam andYitzhak Levy.[14]

Personal life

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Aumann married Esther Schlesinger in April 1955 inBrooklyn. They had met in 1953, when Esther, who was from Israel, was visiting the United States. The couple had five children; the oldest, Shlomo, a student inYeshivat Shaalvim, was killed in action while serving as atank gunner in theIsrael Defense Forces's armored corps in the1982 Lebanon War.Machon Shlomo Aumann, an institute affiliated with Shaalvim that republishes old manuscripts of Jewish legal texts, was named after him. Esther died ofovarian cancer in October 1998. In late November 2005, Aumann married Esther's widowed sister, Batya Cohn.[1]

Aumann is a cousin of the lateOliver Sacks.[15]

Honours and awards

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Publications

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See also

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References

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  1. ^abcdefRobert J. Aumann on Nobelprize.orgEdit this at Wikidata
  2. ^Olivestone, David (25 May 2022)."Jerusalemites – Yisrael Aumann – World Mizrachi".World Mizrachi. Retrieved20 April 2024.
  3. ^"Robert J. Aumann: Biographical".NobelPrize.org. Retrieved2025-03-19.
  4. ^"CV (Robert J. Aumann)".Einstein Institute of Mathematics. Retrieved4 June 2017.
  5. ^Aumann, Robert J. (1976)."Agreeing to Disagree".The Annals of Statistics.4 (6).Institute of Mathematical Statistics:1236–1239.doi:10.1214/aos/1176343654.ISSN 0090-5364.JSTOR 2958591.
  6. ^Aumann, Robert J. (2003)."Risk Aversion in the Talmud"(PDF).Economic Theory.21 (2–3).Springer-Verlag:233–239.doi:10.1007/s00199-002-0304-9.S2CID 153741018. RetrievedJuly 29, 2015.
  7. ^Aumann, Yisrael (1999)."B'Inyan Mi SheHayah Nasui Shalosh Nashim"בענין מי שהיה נשוי שלוש נשים [Regarding One who was Married to Three Wives](PDF).מוריה (Moriah) (in Hebrew).22 (3–4).Jerusalem:Machon Yerushalayim:98–107. RetrievedJuly 29, 2015.[verification needed]
  8. ^Szpiro, George G. (2006),The Secret Life of Numbers: 50 Easy Pieces on how Mathematicians Work and Think, National Academies Press, p. 190,ISBN 9780309096584.
  9. ^Aumann, R.H.; Furstenberg, H.; Lapides, I.; Witztum, D."Analyses of the Gans Committee Report".The Federmann Center for the Study of Rationality. Retrieved20 April 2024.
  10. ^Robert Aumann's Nobel Prize in Economics lecture,Stockholm, 8 December 2005
  11. ^Aumann, Robert (July 3, 2010)."Game Theory and negotiations with Arab countries".ICJS.
  12. ^"Anti-Israel protests against Nobel prize award". Western Europe.European Jewish Press. Archived fromthe original on 2010-12-15. Retrieved2010-02-05.
  13. ^Chason, Miri (2006-01-24)."Nobel laureate: Satmars were right about Israel".Ynet.
  14. ^Hoffman, Gil (9 February 2008)."New party starts 'Anglo' registration drive".TheJerusalem Post. Archived fromthe original on 2012-01-04. Retrieved2018-01-13.http://www.eitam.org.il/info_en.asp?id=2062535187Archived 2008-06-26 at theWayback Machine
  15. ^Sacks, Oliver (14 August 2015)."Sabbath". Opinion | Oliver Sacks.The New York Times.
  16. ^"Book of Members, 1780–2010: Chapter A"(PDF). American Academy of Arts and Sciences. Retrieved27 April 2011.
  17. ^"Israel Prize Official Site – Recipients in 1994 (in Hebrew)".
  18. ^Nemmers Prize RecipientsArchived 2006-02-22 at theWayback Machine Northwestern University
  19. ^"The EMET Prize for Art, Science and Culture in the Social Sciences". Archived from the original on March 21, 2016.
  20. ^"Recipients of Yakir Yerushalayim award (in Hebrew)". Archived fromthe original on 2013-10-22. City of Jerusalem official website

External links

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Awards
Preceded byLaureate of the Nobel Memorial Prize in Economics
2005
Served alongside:Thomas C. Schelling
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