That depends on the age of the child.
If a child is in a pre-operational or concrete-operational stage where the abstract and the concept of consequences are still hard to fathom, then the parents are responsible to help the child understand the concept of action/reaction.
If a parent is consistent and effective in showing this correlation to their child, then the child would be well suited to operate on his or her own during their operational stages, because they would have had the support and guidance of a good parent.
Now, if the parent has left a pre-operational or concrete-operational child to be raised by the TV and Xbox 360, careless providers, and the computers, of course the child would not know what in the world to do in a situation of social learning. Hence, the parent is directly responsible for not taking the time to teach these concepts to the child.
However, let's also consider mental processing problems. Jeffrey Dahmer presumably had two very good parents. He ended up being a sadist, a cannibal, and a serial killer. Those issues are different because this idiot was obviously sick. Yet, not long ago new information surfaced implicating the parents in extremely permissive behavior that may have accelerated Dahmer's already-sick mind.
So, childhood is the maker of heros or losers. And parents are responsible or SHOULD be responsible for their children!