On a base level, I have to agree with Pat.
My dad always taught me that there would be idiots out there to deal with. He told me to not let it get to me, but that if it was starting to bother me, that I needed to stand up for myself.
It's a HUGE generalization of course, and every case is different, but there are many "bullied" kids out there who simply don't stand up for themselves. They have a victim's mentality, and they take it and take it until they're completely broken down, and that's when stuff gets serious.
There are always going to be bullies. The difference is that these days, parents don't tell kids to stand up for themselves, thus ingraining them with the mentality that they are strong enough to deal with things. They simply teach the kid that bullying is wrong, but they don't prepare the kid for when it happens anyway.