Crazy like Hamlet

It's the big question for many readers of Hamlet: sanity. Is Hamlet insane, or is he just pretending to be insane
as a means to an end?
In a short paper, present your argument for whether Hamlet is genuinely losing his mind or whether he is
simply playing that role so he can advance his own goals. Support your argument with textual evidence, as well
as any well-cited outside sources.