Uniqueness of Positive Fixed Points for Increasing Concave Functions on Rn: An Elementary Result

The square root function has a unique positive fixed point. This function has the following properties: it is strictly increasing and strictly concave, with f(0)=0, and there are points a>0 and b>0 such that f(b)>a and b>f(b). It is shown that any function from Rn to Rn satisfying these properties has a unique positive fixed point. (Copyright: Elsevier)

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Year of publication:	2001
Authors:	Kennan, John
Published in:	Review of Economic Dynamics. - Society for Economic Dynamics - SED. - Vol. 4.2001, 4, p. 893-899
Publisher:	Society for Economic Dynamics - SED
Subject:	fixed points \| concavity

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Extent:	application/pdf
Type of publication:	Article
Notes:	Published
Other identifiers:	10.1006/redy.2001.0139 [DOI]
Classification:	C62 - Existence and Stability Conditions of Equilibrium
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005091028