PS and the whole article may be bait to trigger exactly this kind of proofs.
The entire reason to campaign for red is to reduce the dead percentage.
Voting blue is voting to possibly die, either because you want death or in risky solidarity with others who voted to possibly die, who may have chosen by mistake. Voting red is voting for those interested in death to die, along with those who chose blue by mistake, and along with anybody who voted blue in support of those who voted blue by mistake.
So we can have a blue campaign that says "we must not allow even one voter to die, we must all pull together and vote blue", and a red campaign that says "please don't be a giant crowd of idiots who risk death, just accept that maybe two voters aren't going to make it because one was depressed and the other had an involuntary hand movement, and everybody else play it safe and vote red".
This is a ridiculous situation, and Jonathan Swift unfortunately died in 1745, so the best commentary I can offer is "I don't know".
I think if you played the game for real, blue would get maybe 5% of the vote, tops.
By choosing red you will kill some people.
Blue is purely a win-win for me, so it's rational to only choose blue. Reds have their own value judgement.
"Rationality" is a useless quality to debate here.
Dying is a win for you?
Most of the world is not as individualistic as Silicon Valley engineers believe in their own ivory towers after decades of reading Ayn Rand.
(1) https://en.wikipedia.org/wiki/Mutual_Aid:_A_Factor_of_Evolut...
(2) https://www.optimallyirrational.com/p/the-true-story-of-the-...
But there is no advantage here to pick blue, nobody should pick blue because if we all pick red we all win.