verb (used with object), out·stared, out·star·ing.
Examples from the Web for outstare
If you have the stoniest of British stares he will outstare you.Brothers of Pity and Other Tales of Beasts and Men|Juliana Horatia Gatty Ewing
We were less than a skiff's length apart, each trying to outpose and outstare the other.Roof and Meadow|Dallas Lore Sharp
Remembering their first encounter, the grocer tried to outstare him; but Gourlay hardened his glower, and the grocer blinked.The House with the Green Shutters|George Douglas Brown