It's an interesting theory, although what's to stop people from just using those "extra votes" on the same people day after day. Basically rewarding the bad behavior by giving them free votes to use for those "friends" or their own secondary accounts.

The problem as I see it, is the more effort you put into trying to solve the problem, the more people are going to find a way around those restrictions. In the end, you really end up penalizing the people who are trying to work within the rules of the game more than the people who are trying to go around the rules.

Keep thinking!