When you don’t know a guy
A guy might stare because he thinks you’re beautiful. However, if he’s socialized well, he probably knows staring isn’t nice, and he’ll try to look only when you’re not looking.
On the other hand, some women do respond to a stare by staring back, and then the guy feels like they’ve got a connection and he’ll try to pick her up. It can be a game sometimes, when it’s like this.
Then there are guys who just have no clue about how they might be making a woman feel, and they just stare in a kind of carnivorous way. They just want to bag you and don’t realize that relationships are not a game. It’s kind of psychopathic.
In conversation
Some people have been taught that it is proper to maintain constant eye contact during conversation. Looking away is the sign of a liar. So the guy may be someone who was taught this.
It could also be a kind of dominance game. If he stares at you and you look away first, he may feel like he’s got power over you. I don’t know. It doesn’t really make sense to me, but maybe it works.
If you’re talking to a “starer,” I would not take it personally. I’d just try to look him in the eye in a kind of unfocused way. That way you can stare at his eyes while still being able to think about what you are saying.
I’ve been in situations, usually when I’m with a woman I think is very attractive, and I have a hard time taking my eyes off her. I have a hard time thinking. I’m thinking about her more than I’m thinking about the task at hand. I wish I could tell her “I am really attracted to you,” and then let it go at that. But even if that were socially acceptable, it would not be acceptable in my work place. It would create a toxic workplace or something.
Last time I was attracted to a client, I got into her personal space (not on purpose, but because I had to do something at my desk and she was close to it) and when I looked up, into her eyes, I saw they were fluttering very rapidly. I wondered if that was a sign she was also attracted to me. Not that it matters. I’m married. But still, I wonder.