Abstract and Applied Analysis
Volume 2003 (2003), Issue 5, Pages 295-309
doi:10.1155/S1085337503210034
Coincidence theorems for families of multimaps and their applications to equilibrium problems
Department of Mathematics, National Changhua University of Education, Changhua 50058, Taiwan
Received 30 October 2001
Copyright © 2003 Lai-Jiu Lin and Hsin I Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We apply some continuous selection theorems to establish
coincidence theorems for a family of multimaps under various conditions. Then we apply these coincidence theorems to study the equilibrium problem with m families of players and 2m families of constraints on strategy sets. We establish the existence theorems of equilibria of this problem and existence theorem of equilibria of abstract economics with two families of players.