Dictionary :: People

Glossary of game theory terms.

Kakutani, Shizuo

Shizuo Kakutani
Twentieth century mathematician who expanded on earlier fixed point theorems. A fixed point theorem defines the conditions on a function, f(x), under which there exists a point such that f(x)=x. Kakutani demonstrated the existence of such a fixed point not for functions but correspondences. This theorem was instrumental in demonstrating the existence of a Nash equilibrium.

updated: 12 August 2005
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