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Uniqueness of positive fixed points for increasing concave functions on Rn : an elementary result

  • Kennan,J.

    (University of Wisconsin-Madison, Social Systems Research Institute)

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://www.ssc.wisc.edu/~jkennan/research/FixedPoint21.pdf
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Paper provided by Wisconsin Madison - Social Systems in its series Working papers with number 2.

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Date of creation: 2001
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Handle: RePEc:att:wimass:20012
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UNIVERSITY OF WISCONSIN MADISON, SOCIAL SYSTEMS RESEARCH INSTITUTE(S.S.R.I.), MADISON WISCONSIN 53706 U.S.A.

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