IJPAM: Volume 55, No. 3 (2009)

ESSENTIAL COMPONENTS OF THE SET OF
EQUILIBRIUM POINTS FOR GENERALIZED
GAMES IN THE UNIFORM TOPOLOGICAL
SPACE OF BEST REPLY CORRESPONDENCES

Xiaojun Yu
School of Mathematics and Statistics
Guizhou College of Finance and Economics
Guiyang, 550004, P.R. CHINA
e-mail: xjyu-myu@163.com


Abstract.In this article, we discuss the stability of the set of equilibrium points for generalized games. We first give a existence theorem of generalized games. Then, we show that, for every generalized game in the uniform topological space of best reply correspondences, there exists at least one essential component of the set of equilibrium points for generalized games.

Received: August 22, 2008

AMS Subject Classification: 91A06, 91A10

Key Words and Phrases: generalized game, best reply correspondences, essential components

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 55
Issue: 3