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Approval makes the game theory too complicated imo. Too easy to think of cases where a voter leaves off someone because they want their favorite to win but then ends up with neither winning. STAR is the best but voters might be too stupid to figure it out. Really multi district is the best but unfortunately no chance of that happening it seems
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I think the threat of unapproved candidates winning would lower a voter's approval threshold to include other candidates. Increasing the approval threshold happens when the voter likes all of the candidates, in which case there isn't too much of a problem.

I really want to believe that ordinary people can handle STAR voting. Not too far from product reviews: most will initially vote 5, 4, or 0. As long as the system encourages more honest voting (instead of lesser-evil voting), it can help fix our corrupt political system.

Full agreement with multi district/proportional, but I don't know how to sell it to normal people (they want THEIR representative).

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