Shizuo Kakutani (28 August 1911 to 17 August 2004) was a Japanese and American mathematician, best known for his eponymous fixed-point theorem, a generalization of Brouwer's fixed-point theorem holding for generalized correspondences instead of functions, whose most important uses are in proving the existence of Nash equilibria in game theory. He attended Tohoku University in Sendai, received his Ph.D. in 1941 from Osaka University, later returned to the Institute for Advanced Study, and was given a professorship at Yale in 1949. He received the Imperial Prize and the Academy Prize of the Japan Academy in 1982.
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1. Wikipedia: Shizuo Kakutani
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At one point he spent two years at the Institute for Advanced Study in Princeton at the invitation of the mathematician Hermann Weyl.
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The theorem was developed by Shizuo Kakutani in 1941, and was used by John Nash in his description of Nash equilibria.
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