I agree with most of what Jezebel wrote, and I'm going to approach this from the sense of relative "value"
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1) Can you sense that the first guy is getting threatened. Is this unattractive to a girl
Yes, girls will likely sense it if he displays it at all--and it doesn't have to be a conscious reaction, you'd be surprised what your eyes show. I'm no Jedi mind reader, I just think that most people give away more than they think. Jez is absolutely right--showing confidence and not caring that the other guy is there is key. That tells me you KNOW you're better than Guy2 so it doesn't matter what he does. Confidence is sexy and attractive. Also, per your scenario I am already attracted to Guy1 and have been talking to him, so I have invested in him (time and effort), which raises his value. Guy2 needs to catch up--for me to be equally attracted to him I'd need to know something of his personality, not just his appearance and ability to interrupt a conversation.
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2) If the first guy walks away does the girl think less of him since he isnt playing to outdo the other guy. Does that make your attraction or interest get switched for guy1 to guy2
Walking away indicates either a) you weren't that interested in the girl to begin with, b) you truly are threatened by another guy, or c) Guy2 really is that annoying. If you had IOI's from the girl and wanted to block out Guy2 I'd try isolating her to another part of the bar. This is another place where you can convey a lot without using words--you can let the girl know what you think of the new guy. Think about how women communicate with each other in bars without talking--hold eye contact with the girl, while Guy2 is talking, glance quickly to Guy2 and back to the girl, and raise one eyebrow with half a grin. She now knows you think Guy2 is no competition and you can proceed with being nice to him.
Here's where I will part ways with Jez a bit--to me, yes, it's nice to have the attention of two guys, but if I was "attracted" to Guy1, and Guy2 was just "good looking", if Guy1 left in a non-AFC way I'd probably go find him. Women aren't like crows, attracted to the next shiny thing. Looks aside if you get a woman to invest, through conversation, rapport, just letting her get to know you (assuming she is still attracted), she has more to lose with you leaving than she has to gain with Guy2 arriving. I'd stick around or leave but take her with you.
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3) What is the best way that you think guy1 should react to this situation. Does showing unaffected and opening an adjust set of girls kind of make you think of him as socially adept and thus higher value.
See above--and it's less "unaffected" than it is conveying "I know what this other guy is up to, and it means nothing because I have more to offer". Being oblivious to the other guy is not HV; being aware, sticking around anyway, and having the girl see that you are socially aware and still running the set--HV.
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Does she even detect the competition? Is she enjoying it? or not? Why does Guy 1 always seem to have more of a challenge. In other words why does Guy 2 always seem to have a head start and Guy 1 is always making an uphill fight. Shouldn't it be the other way around? Or is it that women are always more open to new prospects despite what they already have.
Yes she sees the competition, she might enjoy it depending on the girl. For me, just the competition is not that appealing--I don't feel like I need that kind of confidence boost. Having options, however, is never a bad thing. I don't think Guy2 immediately has equal status to Guy1: it's easier for him because the set is already open, but that doesn't make him better or more appealing. I wouldn't be MORE open to him, I'd be polite and listen, but remember I now feel like I know something about Guy1, whereas I don't Guy2--so he needs to catch up. The things I find really appealing in a guy aren't things I can see in 30 seconds. I need to talk to him.
This is why it's great to get a bunch of girls' opinions though--we are all there looking for different things in different ways.
HTH,
--L
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The above is a woman's POV; may or may not represent the rest of my gender
