Kakutani fixed-point theorem: Difference between revisions

Revision as of 14:02, 28 December 2022

Revision as of 20:03, 28 February 2023

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===Game theory===

{{See also|Game theory}}

The Kakutani fixed point theorem can be used to prove the [[Minimax theorem|minimax theorem]] in the theory of [[zero-sum game]]s. This application was specifically discussed by Kakutani's original paper.<ref name="kakutani"/>

Mathematician [[John Forbes Nash|John Nash]] used the Kakutani fixed point theorem to prove a major result in [[game theory]].<ref name="nash">