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

John Kennan

Review of Economic Dynamics, 2001, vol. 4, issue 4, 893-899

Abstract: 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)

Keywords: fixed points; concavity. (search for similar items in EconPapers)
JEL-codes: C62 (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (44)

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DOI: 10.1006/redy.2001.0139

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