COMPARATIVE STATICS OF FIXED 
POINTS
				J. Miguel Villas-Boas
Haas School of Business 
University of California 
350 Barrows Hall


Berkeley CA 94720, U.S.A.
ABSTRACT
	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 which generalize and have 
as  a  particular case the supermodularity results on the same topic. The 
main result is that if we take a certain order c 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.