Title :
An intersection theorem on a product of generalized convex spaces and applications to equilibria
Author_Institution :
Department of Mathematics, School of Science, Beijing Information Science and Technology University, 100192, China
Abstract :
In this paper, we give an intersection theorem on a product of generalized convex spaces, and apply this theorem to investigate the existence of equilibrium points of an abstract economy with infinite (countable or uncountable) number of agents for non-paracompact setting of commodity spaces.
Keywords :
Educational institutions; Games; Indexes; Nash equilibrium; Space technology; System-on-a-chip; Topology; Generalized convex space; abstract economy; equilibrium; intersection theorem; non-paracomactness;
Conference_Titel :
Information Science and Engineering (ICISE), 2010 2nd International Conference on
Conference_Location :
Hangzhou, China
Print_ISBN :
978-1-4244-7616-9
DOI :
10.1109/ICISE.2010.5691816
