Get a nut that is bigger than the original bolt size, needs a to be a snug fit, drill it out to the correct size if you have to. Tap it on with a hammer, use the arc and weld it together, undo while still hot [but not glowing], the heat helps to loosen the bolt anyway.
Otherwise, all the other suggestions here are good as well, dremel can be a lifesaver, ezy outs are good but can snap off and tend to expand the original bolt as they bite in. Bashing a socket on can work, but be careful that you don't break the parent material [the thread hole that the bolt is screwed into] with over exhuberant hammering cos then your really f*#ked.