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As long as n-1 person is the next lever puller who cares.
Well, the last human will have no one to pass the problem to, and will have to kill 2^(human population - 1), which will cap to the entire population.
If you assume that each person takes at least 10 seconds to make the decision, it would take something like 2500 years for everyone currently alive to cycle through one time, at which point we'll have plenty of new people to pass the decision along to.
As long as we don't increase the human lifespan past 2500 years or fully stop reproducing, we should be okay!
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