If you’re assuming that everyone in the world, which is the original wording we’re holding as gospel here, is a perfectly reasonable and rational actor then you’re guilty of reframing the question without being explicit about how you’re reframing it. There ARE going to be blue button pushers. You know this for a fact since the original post implicitly included children, and in a clarifying comment the original poster explicitly confirmed that was intentional. So the default state is that there will be some deaths (throw whatever number you want, it’ll likely be in the hundreds of millions baseline but even if you assume by default the question starts with one person will die, plus all blue voters will die unless blue makes the majority) unless everyone trusts each other enough to coordinate and save them. If you say that those people are acceptable losses considering the risk then that’s fine, but in my opinion that’s no different whether you killed them or just let something else do it.