You wouldn't be starving them; they would be starving themselves. People in society know that in order to eat, they have to work. The same should be the case in prison. If a person refuses to work, they don't get food, simple as that.
Libertarianism holds that certain rights are undeniable, and that includes the right to life. Just because you take someone's right to life doesn't mean the government (or anyone else) has the right to take yours. If we accept this right, then we are left with only two choices: lock them up to protect society, or maroon them somewhere. Of course, the second option always runs the risk of them finding a way back, and I don't think many families of the victims would appreciate that idea, so the only viable option is to lock them away.
It's a bit like national defense. In a Libertarian society we would spend money on training the armed forces, not so that we can invade, but so that we are ready for the worst possible scenario. You can see it as a waste of money, but it does have benefits in the long run.
Libertarianism holds that certain rights are undeniable, and that includes the right to life. Just because you take someone's right to life doesn't mean the government (or anyone else) has the right to take yours. If we accept this right, then we are left with only two choices: lock them up to protect society, or maroon them somewhere. Of course, the second option always runs the risk of them finding a way back, and I don't think many families of the victims would appreciate that idea, so the only viable option is to lock them away.
It's a bit like national defense. In a Libertarian society we would spend money on training the armed forces, not so that we can invade, but so that we are ready for the worst possible scenario. You can see it as a waste of money, but it does have benefits in the long run.