Understanding Fixed Point Theorems

Lutz Georg Arnold ()

No 379, Regensburger Diskussionsbeiträge zur Wirtschaftswissenschaft from University of Regensburg, Department of Economics

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 theorems accessible to a broader audience.Kurvenverschieben in der Ebene' beweisen lassen.

Keywords: Fixed Point Theorems; General Equilibrium; Nash Equilibrium; Brouwerscher Fixpunktsatz; Allgemeines Gleichgewicht; Nash-Gleichgewicht (search for similar items in EconPapers)
JEL-codes: C62 (search for similar items in EconPapers)
Date: 2003-02-26
Note: This paper is part of http://www.opus-bayern.de/uni-regensburg/schriftenreihen_ebene2.php?sr_id=3

Downloads: (external link)
http://www.opus-bayern.de/uni-regensburg/volltexte ... point%20theorems.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: http://EconPapers.repec.org/RePEc:bay:rdwiwi:139

Access Statistics for this paper

More papers in Regensburger Diskussionsbeiträge zur Wirtschaftswissenschaft from University of Regensburg, Department of Economics
Contact information at EDIRC.
Series data maintained by Marc Reymann (). This e-mail address is bad, please contact .