Harold W. Kuhn
Born	(1925-07-29)July 29, 1925 Santa Monica, California
Died	July 2, 2014(2014-07-02) (aged 88) New York City, New York
Alma mater	Princeton University
Known for	Hungarian method Karush–Kuhn–Tucker conditions Kuhn poker
Awards	John von Neumann Theory Prize(1980)
Scientific career
Fields	Mathematics
Institutions	Princeton University
Thesis	Subgroup Theorems for Groups Presented by Generators and Relations (1950)
Doctoral advisor	Ralph Fox
Doctoral students	James G. MacKinnon Guillermo Owen Richard Stearns

Harold William Kuhn (July 29, 1925 – July 2, 2014) was an Americanmathematician who studiedgame theory. He won the 1980John von Neumann Theory Prize jointly withDavid Gale andAlbert W. Tucker. A former Professor Emeritus ofMathematics atPrinceton University, he is known for theKarush–Kuhn–Tucker conditions, forKuhn's theorem, and for developingKuhn poker. He described theHungarian method for theassignment problem, but a paper byCarl Gustav Jacobi, published posthumously in 1890 in Latin, was later discovered that had described the Hungarian method a century before Kuhn.^[1][2]

Kuhn was born inSanta Monica in 1925.^[3] He is known for his association withJohn Forbes Nash, as a fellow graduate student, a lifelong friend and colleague, and a key figure in getting Nash the attention of theNobel Prize committee that led to Nash's 1994Nobel Prize in Economics.^[4] Kuhn and Nash both had long associations and collaborations withAlbert W. Tucker, who was Nash's dissertation advisor. Kuhn co-editedThe Essential John Nash,^[5] and is credited as the mathematics consultant in the 2001 movie adaptation of Nash's life,A Beautiful Mind.^[6]

Harold Kuhn served as the third president of theSociety for Industrial and Applied Mathematics (SIAM). He was elected to the 2002 class ofFellows of theInstitute for Operations Research and the Management Sciences.^[7]

In 1949, he married Estelle Henkin, sister of logicianLeon Henkin. His oldest son was oral historianClifford Kuhn (1952-2015), an associate professor atGeorgia State University noted for his scholarship on theAmerican South. Another son, Nicholas Kuhn, is a professor of mathematics at theUniversity of Virginia.^[8] His youngest son, Jonathan Kuhn, is Director of Art and Antiquities for the New York City Department of Parks & Recreation.

Kuhn died on July 2, 2014.^[9]

• Kuhn, H. W. (1955). "The Hungarian method for the assignment problem".Naval Research Logistics Quarterly.2 (1–2):83–97.CiteSeerX 10.1.1.228.3906.doi:10.1002/nav.3800020109.
  • Republished; Kuhn, H. W. (2005). "The Hungarian method for the assignment problem".Naval Research Logistics.52 (1):7–21.CiteSeerX 10.1.1.228.5750.doi:10.1002/nav.20053.S2CID 247664096.
• Owen, Guillermo. (2004)"IFORS' Operational Research Hall of Fame Harold W. Kuhn"International Transactions in Operational Research 11 (6), 715–718.doi:10.1111/j.1475-3995.2004.00486.
• Kuhn, H.W.Classics in Game Theory. (Princeton University Press, 1997).ISBN 978-0-691-01192-9.
• Kuhn, H.W.Linear Inequalities and Related Systems (AM-38) (Princeton University Press, 1956).ISBN 978-0-691-07999-8.^[10]
• Kuhn, H.W.Contributions to the Theory of Games, I (AM-24). (Princeton University Press, 1950).ISBN 978-0-691-07934-9.^[11]
• Kuhn, H.W.Contributions to the Theory of Games, II (AM-28) (Princeton University Press, 1953).ISBN 978-0-691-07935-6.^[12]
• Kuhn, H.W.Lectures on the Theory of Games. (Princeton University Press, 2003).ISBN 978-0-691-02772-2.
• Kuhn, H.W. and Nasar, Sylvia, editors.The Essential John Nash. (Princeton University Press, 2001).ISBN 978-0-691-09527-1.

• Harold W. Kuhn at theMathematics Genealogy Project
• Princeton University Press: The Essential John Nash
• Collaboration with George Dantzig
• biography of Harold Kuhn from the Institute for Operations Research and the Management Sciences

• 20th-century American mathematicians
• 1925 births
• American game theorists
• Princeton University alumni
• Princeton University faculty
• John von Neumann Theory Prize winners
• Fellows of the Econometric Society
• 2014 deaths
• Fellows of the Institute for Operations Research and the Management Sciences
• Fellows of the Society for Industrial and Applied Mathematics
• Presidents of the Society for Industrial and Applied Mathematics
• Fair division researchers
• 20th-century American statisticians

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