The Collaborative International Dictionary of English v.0.48:
Outstare \Out*stare"\, v. t. To excel or overcome in staring; to face down. [1913 Webster] I would outstare the sternest eyes that look. --Shak. [1913 Webster]WordNet (r) 3.0 (2006):
outstare v 1: overcome or cause to waver or submit by (or as if by) staring; "He simply stared down his opponent" [syn: stare down, outstare, outface]