Ask yourself what behavior you're displaying that attracts game players. What do all of the men you've dated have in common? That is usually the beginning thread to finding out why the same thing happens again and again.
For example, I kept getting into relationships with people who were emotional infants. I have a great sense of humor because I tend to use it to deflect personal intimacy. I was also attracted to men who had a great sense of humor. We'd have great times, but the relationship would fall apart because both of us deflected personal intimacy and closeness through humor. Once I figured it out, I had to sacrifice a little of my personal attraction (great sense of humor) for a guy who wasn't quite as funny, but was very open and pushed me to come out behind my wall. For you, something in your own behavior/attraction matches up with game players. I don't know you, so I can't say what. But consider your own traits and attractions and how they influence your relationships.