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If a person engages in deliberate conduct with the intent of causing an injury to someone else, and actually does cause the intended injury, it's hard to argue how they could be more "at fault" than they are in those circumstances. And because the law of personal injury requires (with a few exceptions) that the wrongdoer be at fault, it's a no-brainer that the victim of intentional harm is entitled to compensation.
Battery is defined as "the harmful or offensive contact to the person of another." Basically, if you touch someone without their consent, in a way that causes harm or offense, you've committed battery. Remember, though, that the civil justice system exists to compensate people for actual injuries. So, if somebody slaps you on the back, and it stings a little for a few seconds, that person may have technically committed battery, and if you sue them, a court might even find them liable. But they'll only be liable for the injuries they caused to you, which, in this hypothetical case, would be none.
However, if more serious injuries are caused, the damages awarded will increase accordingly.