J. Korean Math. Soc. 1999; 36(4): 813-828
Printed July 1, 1999
Copyright © The Korean Mathematical Society.
Sehie Park and Hoonjoo Kim
In this paper, we give a Peleg type KKM theorem on $G$-convex spaces and using this, we obtain a coincidence theorem. First, these results are applied to a whole intersection property, a section property, and an analytic alternative for multimaps. Secondly, these are used to prove existence theorems of equilibrium points in qualitative games with preference correspondences and in $n$-person games with constraint and preference correspondences for non-paracompact setting of commodity spaces.
Keywords: $G$-convex space, $\Gamma$-convex set, $G$-KKM, abstract economy, correspondence, $n$-person game, equilibrium, qualitative game, $\Gamma$-quasiconcave
MSC numbers: Primary 54H25, 90D06, 46N10
1998; 35(2): 491-502
1998; 35(4): 933-944
2007; 44(2): 393-406
2010; 47(5): 1017-1029
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd