How does one stop attracting addicted dependant people?

My last few girlfriends turned out to be pathological liars who are emotionally as stable as a cardboard box in the rain. It seems so consistent that i attract people who are unable to sustain themselves in their own lives that I must be doing something wrong that draws them in. Conversely, the most stable people I have ever seen, have always been stuck in similar relationships where they are the anchor. Is the only way to date an emotionally well-together person to be messed up yourself?