# Mathematician:Carlton Edward Lemke

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## 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

## Publications

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