this post was submitted on 18 Aug 2023
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Ah, but then you're giving the opportunity to the next guy to kill even more, if he wants. Most people obviously won't want to do that, but a rare few will, and the body count gets so big so fast that it only takes a few switches before that's a bad risk.
I was expecting a bigger number of switches, but I guess that's just another example of humans being bad at tracking the consequences of large quantities.
But if you assume that such a person exists, then it is inevitable that someone will pull the switch. The very best case is that such a person is immediately after you. Therefore, the only minimizing choice is to kill however many people you have.
Oh, I see. Yes, the context here was that we assume all possible chain lengths. If it's infinite the death-minimising strategy is obviously to pull it, and if your switch is the only one you obviously don't. The question was where it changes from one to the other.
I'll edit a clarification in.
Makes me wonder what happens when the number of people tied to the tracks exceeds rhe number of people currently alive. Should be around the 33rd lever.
I think you're on the right track.