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

  • John Kennan

    (University of Wisconsin, Madison)

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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File URL: http://dx.doi.org/10.1006/redy.2001.0139
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Article provided by Elsevier for the Society for Economic Dynamics in its journal Review of Economic Dynamics.

Volume (Year): 4 (2001)
Issue (Month): 4 (October)
Pages: 893-899

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Handle: RePEc:red:issued:v:4:y:2001:i:4:p:893-899
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