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

被引：40

作者：

Kennan, J

机构：

[1] Univ Wisconsin, Dept Econ, Madison, WI 53706 USA

[2] NBER, Cambridge, MA 02138 USA

来源：

REVIEW OF ECONOMIC DYNAMICS | 2001年 / 4卷 / 04期

关键词：

fixed points; concavity;

D O I：

10.1006/redy.2001.0133

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

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 (a) > a and f (b) < b. It is shown that any function from R-n to R-n satisfying these properties has a unique positive fixed point. Journal of Economic Literature Classification Number: C62. (C) 2001 Academic Press.

引用

页码：893 / 899

页数：7