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Also, I like your solution of not pressing the button gets a worst outcome, just auto-lose and don't even contribute to the percentage. It's an exigency absent in the original framing, which just says everyone "has to". (Wonder how it would change the outcome if non-voters counted as blue?)

Oh yeah, that too. I also just assumed it was anticipating the inevitability of a student or two that never check their email.

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