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On the existence of Nash equilibrium points

Published online by Cambridge University Press:  09 April 2009

E. Tarafdar
Affiliation:
Department of MathematicsMcMaster UniversityHamilton, Ont., Canadaand Department of MathematicsUniversity of QueenslandSt. Lucia, BrisbaneAustralia4067
T. Husain
Affiliation:
Department of MathematicsMcMaster University Hamilton, Ont., Canada
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Abstract

The existence of Nash equilibrium points of game between n players has been established under the conditions dual to known ones.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1979

References

Browder, F. E. (1968), ‘The fixed point theory of multivalued mappings in topological vector spaces’, Math. Ann. 177, 283301.CrossRefGoogle Scholar
Fan, K. (1966), ‘Applications of a theorem concerning sets with convex sections’, Math. Ann. 163, 189203.CrossRefGoogle Scholar
Fan, K. (1972), ‘A minimax inequality and applications, Inequalities III’, Proceedings of the third symposium on inequalities, edited by Shisha, (Academic Press), pp. 103113.Google Scholar
Ma, T. W. (1969), ‘On sets with convex sections’, J. Math. Anal. Appl. 27, 413416.CrossRefGoogle Scholar
Nash, J. (1951), ‘Non-co-operative games’, Ann. of Math. 54, 286295.CrossRefGoogle Scholar
Tarafdar, E. and Husain, T. (1978), ‘Duality in fixed point theory of multivalued mappings with applications’, J. Math. Anal. Appl. 63, 371376.CrossRefGoogle Scholar

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