Existence of equilibria for generalized games without paracompactness |
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Institution: | 1. Ryan Institute, National University of Ireland, University Road, Galway, H91 REW4, Ireland;2. School of Engineering, University of Limerick, Limerick, V94 T9PX, Ireland |
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Abstract: | In this paper, we first prove an existence theorem of maximal elements without any paracompactness. Then, we establish an existence theorem of equilibrium points of generalized games with infinite many players and without any paracompactness, by applying our maximal element existence theorem. Our equilibrium existence theorem answers the two questions raised by Kim 6] in the affirmative. |
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