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it's mathematically proven that all ranked methods can fail IIA. see arrow's theorem. > Isn't this due to defining "performance" in a way that is congruent wit
by ClayShentrup 11mo ago
it's mathematically proven that all ranked methods can fail IIA. see arrow's theorem.
> Isn't this due to defining "performance" in a way that is congruent with Approval (/ Score)
1. i did not define performance in a way that is congruent with approval/score. scores are not utilities. they are the modification of utilities via ignorance, normalization, and strategy.
2. that the correct social welfare function is just the sum of all voter utilities (the definition of "performance") is mathematically proven.
https://www.rangevoting.org/UtilFoundns https://www.rangevoting.org/UtilFoundns
> do I Approve my latent terrible party or not?
this is not a "problem". it's well understood.
https://www.rangevoting.org/RVstrat6 https://www.rangevoting.org/RVstrat6
approval voting obliterates IRV ("RCV") with any mixture of strategic or honest voters, so i'm not sure why you're bringing up strategy.
https://www.rangevoting.org/StratHonMix https://www.rangevoting.org/StratHonMix