Why would a guy not look away when you catch them staring?

Anonymous
This guy I'm friends with will stare me down every time he passes me. I met him around 2 months ago so we don't know each other that well but he's a bit flirty with me. I catch him staring and hold his gaze but he doesn't ever look away. I don't look away because I feel like if I look away first he wins. I know that sounds weird and immature but it's the truth. His stare his so intense though that I end up looking away first.
Why would a guy not look away when you catch them staring?
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