PS and the whole article may be bait to trigger exactly this kind of proofs.
I think if you played the game for real, blue would get maybe 5% of the vote, tops.
The entire reason to campaign for red is to reduce the dead percentage.
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.
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.