Walrasian economy and some properties of convexly compact sets

Abstract

G. Žitković defined the notion of a convexly compact set in a topological space and, among other things, used it to give an extension of the Walrasian excess-demand theorem. We continue the study of convexly compactness in LCS spaces and prove a Krein-Milman theorem in this setting.

Keywords

• convex set
• extremal point
• walrasian economy
• primary 46a55
• 91b52