If you are ok with your girlfriend sleeping around and she is ok with you sleeping around then noone (below 25) will look twice at either of you, you are making a big deal out of nothing imo.
And most likely you won't have a hard time at all convincing your girlfriend to have that kind of relationship.
If you are actually talking about men having several girlfriends, while the girls stay faithful to that one man that would never work (on a scale large enough to matter) simply because girls in general wouldn't want that.