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How would blockchain help this in the least?

Paper ballots work really well too, and though they can go missing just like files get deleted, it's pretty easy to see that.

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Blockchain would definitely solve this: Traceability, verifiability (no double casting). If you dont trust the counters (which no1 in america should) you can also use a form of Secure Multiparty Computation to hide the outcome from the counters until the last ballot is cast. So ya.

> you can also use a form of Secure Multiparty Computation to hide the outcome from the counters until the last ballot is cast

That sounds like a terrible idea. What happens when somebody tries to hold the election process hostage by not casting a vote?

That will never happen because voting happens during a finite window of time.

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