Comparative statics of fixed points
成果类型:
Article
署名作者:
VillaBoas, JM
刊物名称:
JOURNAL OF ECONOMIC THEORY
ISSN/ISSBN:
0022-0531
DOI:
10.1006/jeth.1996.2224
发表日期:
1997
页码:
183-198
关键词:
摘要:
Comparing fixed points of different mappings is often required when doing economic analysis. I present here some results on the comparison of fixed points of different mappings that generalize and have as a particular case the super-modularity results on the same topic. The main result is that if we take a certain order greater than or equal to for which the mappings are increasing and ordered, then the fixed points of the different mappings are also ordered in that same order: every fixed point of a lower (higher) mapping has at least one higher (lower) fixed point in a higher (lower) mapping. These results allow us, for example, to make comparisons among equilibria of Cournot games with any number of firms, which were not possible under the supermodularity results. (C) 1997 Academic Press.