[rocqua]

Another interesting thing I cam across is [ThreeBalot](https://en.wikipedia.org/wiki/ThreeBallot). It has some non-obvious but solvable issues with non-binary votes (essentially like your system).

A weakness I see in both your system and ThreeBalot, is the need to trust in some decision maker to act correctly. You need the poll worker to actually work randomly (and not have awesome memory), ThreeBalot needs a way to confirm ballots are entered correctly.

I think the biggest sticking point with your system is the random aspect. We are essentially introducing noise into the votes. The noise might be negligible, but it impacts people's perception massively. There is also the challenge issue, because you'd need some arbitrary cut-off on the probability of the noise being to large. After all, the chance is technically nonzero that all random votes went the same way, and only the random votes were counted.