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
Lai-Jiu Lin
and Hsin I Chen
Department of Mathematics, National Changhua University of Education, Changhua 50058, Taiwan
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.