We can address these.
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Our research has shown that a 2-choice voting system is the 2nd easiest for voters to understand when compared with STAR and RCV. We can do some more research and even conduct live, representatively sampled polls with your assistance if you're interested in finding out which option lay-people feel is easiest to understand.
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A better voting method does not need to completely eliminate vote splitting. In fact, any system that forces voters to make any kind of explicit preference decision will incur vote splitting. That's not an issue as long as the systems sufficiently reduces the IMPACT of vote splitting, which 2CV does to negligible levels.
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You've given no evidence to support this. Every scenario that we've tested 2CV in, which includes a variety of political landscapes and candidate quantities has produced "desirable*" election outcomes. Please give some examples where this might not be the case.
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2CV does not magnify electability bias compared to plurality voting. It may have slightly more bias than unlimited-choice systems, but unlimited choice methods introduce either gamesmanship (in the case of unlimited-choice Borda) or significant complexity (normalization of scores in Score voting). Most voters only have 1 or 2 preferences anyway, as every election results study has shown, and eliminating all data from any system on rankings of 4th choice or lower almost never has a material impact on the election outcome. 2CV asks voters for enough data to create a statistically sufficiently informed single-winner choice (assuming 250k+ voters, representatively sampled).
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I've heard all the feedback. I've listened and taken it into account, which led to modifying the runoff election so that no candidate can win without 50% support (either a 1st or 2nd choice from the majority, if none of the top3 get 51%, we drop the 3rd place candidate by points and upgrade all the their voter's 2nd choice votes to 1st choice votes). 2CV now ensures, unlike any other proposed system, that the winner will, under all circumstances, be one who received at least 51% of 1st or 2nd choice votes. Which leads to majority-consensus election outcomes, always.
* We can have a discussion as to what "desirable" means, but for our purposes it means that the winning candidate had a significant amount of 1st choice preference among the voting population, as well as acceptance/preference from among 51% of the entire voting population.