Understanding Fixed Point Theorems

URN to cite this document:: urn:nbn:de:bvb:355-opus-1394
DOI to cite this document:: 10.5283/epub.4494

Arnold, Lutz G.

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Date of publication of this fulltext: 26 Feb 2003 13:47

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Abstract

Fixed point theorems are the standard tool used to prove the existence of equilibria in mathematical economics. This paper shows how to prove a slight generalization of Brouwer's and Kakutani's fixed point theorems using the familiar techniques of drawing and shifting curves in the plane and is, therefore, intelligible without advanced knowledge of topology. This makes proofs of fixed point ...