So the same in these buttons. It is appropriate for me to push blue if I believe I am likely to be part of the majority doing that and to push red if I am confident most others will push red: that’s a principle that everyone could follow.
Though that’s just on of the many examples of how actually these kind of Game Theory type thought experiments aren’t actually a very good model of real life human behavior. When you have these situations where people have to get out of a crowded room in an emergency they panic and act in irrational ways that neither maximize their individual benefit or the group benefit.
Trying make statements about how hypothetical blue-vs-red pressers will behave or believe IRL is silly IMO.
What if exactly 50% of the people press red, and 50% of the people press blue?
I think that exactly 50% of the people die.
Since otherwise WalterBishop’s phrasing would create an unresolvable situation on a tie I think we can assume an odd number of participants.
If there’s an even number of people in the world when we play this game, I volunteer to sit this one out.
Actually, scratch that, I volunteer my youngest to sit this one out since I can’t trust her to pick red.
The button overlords kill everyone to settle the matter.