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A Short And Constructive Proof of Tarski's Fixed-Point Theorem

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Author Info
Federico Echenique (California Institute of Technology)

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Abstract

I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.

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File URL: http://129.3.20.41/eps/ge/papers/0305/0305001.pdf
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Publisher Info
Paper provided by EconWPA in its series GE, Growth, Math methods with number 0305001.

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Length: 4 pages
Date of creation: 06 May 2003
Date of revision:
Handle: RePEc:wpa:wuwpge:0305001

Note: Type of Document - Tex; prepared on Dell PC - Linux; to print on PostScript; pages: 4; figures: non
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Web page: http://129.3.20.41

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Related research
Keywords: tarski; fixed-point theorem; supermodular; supermodular games; strategic complementarities; equilibrium existence;

Other versions of this item:

Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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References listed on IDEAS
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  1. Zhou Lin, 1994. "The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice," Games and Economic Behavior, Elsevier, vol. 7(2), pages 295-300, September. [Downloadable!] (restricted)
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This page was last updated on 2009-10-29.


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