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Minimax inequalities and generalisations of the Gale-Nikaido-Debreu Lemma

Published online by Cambridge University Press:  17 April 2009

Kok-Keong Tan  and
Jian Yu
Kok-Keong Tan
Affiliation:
Department of Mathematics, Statistics and Computing Science Dalhousie University Halifax, Nova ScotiaCanadaB3H 3J5
Jian Yu
Affiliation:
Instituet of Applied Mathematics Guizhou Institute of Technology Guiyang, GuizhouChina550003
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Some minimax inequalities are first proved both in the compact case and in the non-compact case using the concept of escaping sequences introduced by Border. Applications are given to deduce a generalisation of the Gale-Nikaido-Debreu Lemma due to Mehta and Tarafdar and to obtain a new generalisation of the Gale-Nikaido-Debreu Lemma from which the corresponding generalisation due to Grandmont is derived.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 2 , April 1994 , pp. 267 - 275
Copyright
Copyright © Australian Mathematical Society 1994

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