Approval voting is great. You can take the exact same intuitions and voter information you have for FPTP, but without the "vote only once". Legitimacy and legibility is important. There are other voting systems I like more, but approval voting is great.
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I think part of the problem is that the discussion is dominated by mathematicians and similar theorists who care about clever properties of algorithms they can prove. Rather than by political scientists who understand legitimacy.
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I think it's the opposite problem. political scientists think they understand it but they don't because they lack the mathematic and game theoretic understanding. Here's a presentation I gave to the league of women voters about this.https://www.youtube.com/watch?v=HyBm_Hcu4DI&t=487 …
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This is an important point. This is why although I think that Kenemy-Young is a good system, I'd never advocate for adoption. The math is probably too complicated for most voters, and they'd see elections as less legitimate as a result.
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