Don't really care if people overtake me when I'm out running, they do it in races so why not training runs?
When we were out on Tuesday we (me and two male running friends) were catching up to a couple of blokes, they only realised when we were about 20 meters behind them, and picked up the pace. Considering we hadn't sped up to catch them, they were going to burn out at some point. Lo and behold, a bit further up the path they stopped and pretended to be looking at the scenery (whilst gasping for breath)
Also had a woman spot me behind her, again I was catching up to her. I was about 2 miles into a 20-mile run so wasn't speeding up for anyone. Once she spotted me she picked up the pace, and kept looking back to see if I was still there. She then disappeared into a house after about half a mile of running away.
I've been the overtaker and the overtakee on runs and in races, there's always someone both faster and slower than you.
I sometimes try to race cars crawling along in rush hour if that counts? 