Albert W. Tucker

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Albert W. Tucker
Albert William Tucker
Albert William Tucker
Born 28 November 1905
Ontario, Canada
Died 25 January 1995
Highstown, N.J., USA
Residence USA
Nationality American
Field Mathematician
Institution Princeton University
Alma mater Princeton University
Academic advisor Solomon Lefschetz
Notable students David Gale
Marvin Minsky
John Forbes Nash
Torrence Parsons
Lloyd Shapley
Known for Prisoner's dilemma
Karush-Kuhn-Tucker conditions

Albert William Tucker (28 November 190525 January 1995) was a Canadian-born American mathematician, who made important contributions in topology, game theory and non-linear programming.

Albert Tucker was born in Ontario, Canada, and earned his B.A. at the University of Toronto in 1928. In 1932, he completed his Ph.D. at the Princeton University under the supervision of Solomon Lefschetz, with the thesis An Abstract Approach to Manifolds.

In 1932–33 he was a National Research Fellow at Cambridge, Harvard, and the University of Chicago. He then returned to Princeton to join the faculty in 1933, where he stayed till 1970. He chaired the mathematics department for about twenty years. Almost no one else was there for such a long time. Tucker also knew everyone and remembered everything making him a great source for oral histories of the mathematics community.

His Ph.D. students include Michel Balinski, David Gale, Alan Goldman, Stephen Maurer, Marvin Minsky, Nobel Prize winner John Nash, and Torrence Parsons.

In 1950, Albert Tucker gave the name and interpretation "prisoner's dilemma" to Merrill M. Flood and Melvin Dresher's model of cooperation and conflict, resulting in the most well-known game theoretic paradox. He is also well known for the Karush-Kuhn-Tucker conditions, a basic result in non-linear programming, which was published in conference proceedings, rather than in a journal.

In the 1960s, he was heavily involved in mathematics education, as chair of the AP Calculus committee for the College Board (1960–1963), through work with the Committee on the Undergraduate Program in Mathematics (CUPM) of the MAA (he was president of the MAA in 1961–1962), and through many NSF summer workshops for high school and college teachers.

Albert Tucker received a honorary degree from Dartmouth College. He died in Highstown, N.J. in 1995 at age 89.

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