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Maximal elements and equilibria for u-majorised preferences

Published online by Cambridge University Press:  17 April 2009

Kok-Keong Tan  and
Xian-Zhi Yuan
Kok-Keong Tan
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova ScotiaCanadaB3H 3J5, kktan@cs.dal.ca and yuan@cs.dal.ca
Xian-Zhi Yuan
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova ScotiaCanadaB3H 3J5, kktan@cs.dal.ca and yuan@cs.dal.ca
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Abstract

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The purpose of this note is to give a general existence theorem for maximal elements for a new type of preference correspondences which are u-majorised. As an application, an existence theorem of equilibria for a qualitative game is obtained in which the preferences are u-majorised with an arbitrary (countable or uncountable) set of players and without compactness assumption on their domains in Hausdorff locally convex topological vector spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 1 , February 1994 , pp. 47 - 54
Copyright
Copyright © Australian Mathematical Society 1994

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