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

B-Tier
Journal: Review of Economic Dynamics
Year: 2001
Volume: 4
Issue: 4
Pages: 893-899

Score contribution per author:

2.011 = (α=2.01 / 1 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

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)

Technical Details

RePEc Handle
repec:red:issued:v:4:y:2001:i:4:p:893-899
Journal Field
Macro
Author Count
1
Added to Database
2026-01-25