

You’re the one who mentioned “game theory” in the first place, I was just directly quoting you. My sentence was of the form “game theory doesn’t say X”, not “game theory does say Y”. I added quotation marks to clarify.
My point here is that you can make whatever philosophical and ethical arguments about the situation you want, but none of game theory, Arrow’s theorem, nor the concept of a dictator have any bearing on it. It is an ethics question rather than a mathematical question, and it is an error to claim that your argument is a mathematical one.
As I explained elsewhere, my comment was just about the inapplicability of mathematics to this question. But also, is that really what morality always says? What if polls predict 1% will vote blue? What if they predict only one other person will vote blue? Are you always obligated to martyr yourself?