stare down
• look fixedly at someone, typically in a hostile or intimidating way, until they feel forced to look away.
• "the two stared each other down after the match"
staredown
noun
• a situation in which two individuals stare at each other, typically in a hostile or intimidating way, until one is no longer able to maintain eye contact and feels forced to look away.
• "he won his staredown with Matt"