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New minimax inequality with applications to existence theorems of equilibrium points |
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| Authors: | K K Tan J Yu |
| Institution: | (1) Department of Mathematics, Statistics, and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada;(2) Institute of Applied Mathematics, Guizhou Institute of Technology, Guiyang, Guizhou, China |
| Abstract: | A new minimax inequality is proved on a set which is the union of an increasing sequence of compact convex sets in a topological vector space. As applications, several existence theorems of equilibrium points for different games are obtained.The authors would like to thank the referees for their helpful suggestions. |
| Keywords: | Minimax inequalities topological vector spaces N-person games qualitative games equilibrium points reflexive Banach spaces |
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