Mathematician:Carlton Edward Lemke

Mathematician

American mathematician, working in Algebra, Mathematical Programming, Operations Research, and Statistics.

Also contributed to game theory.

Developed the dual simplex method in $1954$, independently from E.M.L. Beale.

With J.T. Howson, Constructed an algorithm in $1964$ for finding Nash equilibria the case of finite two-person games, for which he received the John von Neumann Theory Prize in $1978$.

Nationality

American

History

• Born: October 11, 1920 in Buffalo, New York
• 1949: Bachelor's degree from University of Buffalo
• 1952 -- 1954: Instructor at the Carnegie Institute of Technology
• 1953: Received Ph.D. at Carnegie Institute of Technology
• 1954 -- 1955: Instructor at Knolls Atomic Power Laboratory of General Electric
• 1955 -- 1956: Engineer at Radio Corporation of America in New Jersey
• 1956: Assistant professor and later professor at Rensselaer Polytechnic Institute
• 1967: Ford Foundation Professor of Mathematics
• 1978: Received John von Neumann Theory Prize
• Died: April 12, 2004 in Tucson, Arizona

Theorems and Definitions

• Lemke-Howson Algorithm (with J.T. Howson)

Publications

• 1954: The Dual Method of Solving the Linear Programming Problem (Naval Research Logistics Quarterly Vol. 1: pp. 36 – 47)
• 1964: Equilibrium Points of Bimatrix Games (Journal of the SIAM Vol. 12: pp. 413 – 423) (with J.T. Howson)