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

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Author Info
John Kennan (University of Wisconsin, Madison)

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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)

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File URL: http://dx.doi.org/10.1006/redy.2001.0139
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Publisher Info
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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Related research
Keywords: fixed points; concavity.;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium

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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. John Kennan, 2006. "Private Information, Wage Bargaining and Employment Fluctuations," NBER Working Papers 11967, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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