To get rid of bullying entirely you would have to get rid of all that causes bullies to develop and act out in the first place, which is a whole host of factors. You'd have to have a perfect world, basically.
I just read an interesting article about how Japan has adopted Western anti-bullying measures in their schools, and how it has resulted in more bullying. It's like when you crack down on certain behaviors in society and make them illegal, the tendency is an increased rebellion against that law. (Well, they say that applies to underage drinking and marijuana, but I don't know if the same could be said for rape and murder.) People need more incentive than a slap on the wrist if they're going to change their behavior. Even lasting physical and emotional damage aren't enough of a deterrent. Wanton sex and smoking, which everyone with half a brain knows have damaging consequences, are still practiced regularly. Instant gratification. Life is tough, gotta live it up now. Discipline=bad, entitlement=good. In today's culture.
To be fair, too many young people don't know what a better alternative looks like. You always hear kids complaining about their strict, tyrannical parent/s, yet psychologists say kids want boundaries. I guess too many parents simply yell at their kids (which basically says "don't be bad!"), instead of taking the time beforehand to set boundaries and explain why those boundaries should exist (which says "I care about you"), and to actually tell the kid they're proud of him when he does do well, or even when he doesn't. Some parents just keep setting goals in front of their child, as if their love can be earned only by meeting successive goals.
I've heard explanations for why some bullies pick on poor, weakling kids and outcasts, but I still find it hard to imagine. Whether you're an outcast yourself, or you just think that poor kid looks like a dopey idiot, how do you derive pleasure from knocking him down yet another peg in his miserable world?