Skip to main content
Article thumbnail
Location of Repository

Fixed-point theorems with applications to game theory

By Roger Maleski


Nash's Theorem is an important game-theoretic result following from the fixed-point theorem of Kakutani, which is itself a generalization of Brouwer's Fixed-Point Theorem. This paper will present a detailed proof of Brouwer's Theorem, as well as an overview of the concepts of homology, homotopy, and degree which are necessary to the proof. Also included are discussion and less-detailed proofs of Kakutani's and Nash's theorems

Year: 2002
OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.