Title :
On the Existence of Greatest and Maximal Elements
Author_Institution :
Sch. of Econ. & Manage., Jiangsu Teachers Univ. of Technol., Changzhou
Abstract :
The main purpose of this paper is to deal with the existence of greatest and maximal elements of weak and strict preference relations and give necessary conditions for the existence of greatest and maximal elements of weak and strict preference relations in framework of general topological spaces without linear and convex structure. The well known KKM theorem is applied to proving the existence theorem of greatest and maximal elements of weak and strict preference relations under mild conditions.
Keywords :
set theory; topology; utility theory; KKM theorem; convex structure; general topological space; greatest element existence; linear structure; maximal element existence; set theory; strict preference relation; utility theory; weak preference relation; Engineering management; Information management; Information technology; Seminars; Sufficient conditions; Technology management;
Conference_Titel :
Future Information Technology and Management Engineering, 2008. FITME '08. International Seminar on
Conference_Location :
Leicestershire, United Kingdom
Print_ISBN :
978-0-7695-3480-0
DOI :
10.1109/FITME.2008.73
