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Understanding Fixed Point Theorems

URN to cite this document: urn:nbn:de:bvb:355-opus-1394

Arnold, Lutz G. (2003) Understanding Fixed Point Theorems. Regensburger Diskussionsbeiträge zur Wirtschaftswissenschaft 379, Working Paper.

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Other URL: http://www.opus-bayern.de/uni-regensburg/volltexte/2003/139


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 ...

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Item Type:Monograph (Working Paper)
Date:2003
Institutions:Business, Economics and Information Systems > Institut für Volkswirtschaftslehre und Ökonometrie > Lehrstuhl für Theoretische Volkswirtschaft (Prof. Dr. Lutz Arnold)
Identification Number:
ValueType
urn:nbn:de:bvb:355-opus-1394URN
RePEc:bay:rdwiwi:139RePEc Handle
Classification:
NotationType
C62Journal of Economics Literature Classification
Keywords:Brouwerscher Fixpunktsatz , Allgemeines Gleichgewicht , Nash-Gleichgewicht, , Fixed Point Theorems , General Equilibrium , Nash Equilibrium
Subjects:300 Social sciences > 330 Economics
Status:Published
Refereed:No this document will not be refereed
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:23 Sep 2008 09:23
Last Modified:13 Mar 2014 10:31
Item ID:4494
Owner Only: item control page
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