Regarding corporal punishment, the opposite is actually true. Bullies want to exercise power and control, and they do this by bullying, whether it be physical, emotional, or psychological. Parents also wish to exercise power and control, and can do this through any number of means. Children also learn from their parents, and if a child does not make a conscious effort to change, it will often repeat the behaviors of its parent(s). Therefore, if a child is beaten by its parents if and when the parents wish to exercise power and control over the child for whatever reason (be it discipline or abuse, and especially the latter) then the child is likely to do the same thing if and when it bullies. Especially in the case of abused children, there will be empathy and control issues in the child, and the child is then likely to perform some form of (usually similar to the parents') abuse. If it's physical, then the child beats his/her colleagues, if it's emotional or psychological, then they become manipulators, and the list goes on and on. Therefore, corporal punishment will not reduce physical bullying except for in the rarest of cases.
-Penguin