International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 1, Pages 179-189
doi:10.1155/S0161171299221795
Maximal elements and equilibria of generalized games for 𝒰-majorized and condensing correspondences
George Xian-Zhi Yuan1
and E. Tarafdar2
1Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia B3H 3J5, Canada
2Department of Mathematics, The University of Queensland, Brisbane 4072, Australia
Abstract
In this paper, we first give an existence theorem of maximal elements for a new type of preference correspondences which are 𝒰-majorized. Then some existence theorems for compact (resp., non-compact) qualitative games and generalized games in which the constraint or preference correspondences are 𝒰-majorized (resp., Ψ-condensing) are obtained in locally convex topological vector spaces.