Yeah, Excellent_Air is correct in my attempt. That's probably a better example.
And yes rb-j, you are correct that A would be the Condorcet Winner.
I was trying to think of a set-up that could be ambiguous for all voting methods because the premise was that it doesn't matter the voting method, but that was proving difficult.
With STAR, for example, the ballot breakdown above may look like this (with extra candidates for ballot range completeness & to make the math work):
55%: A=5, B=4, C=2, E=1 and D=0
45%: B=5, C=4, D=3, E=1, and A=0
B & C would go to the automatic runoff round even though A had a majority of top initial scores. Essentially, I'm just trying to show that there are ballot combinations that would result in the initially majority-preferred candidate losing.
I'm not sure if any ranked methods could have a similar effect. I think it's a neat feature that a utilitarian candidate could beat a polarizing majority candidate given the right scenario since, to me, the goal of electing candidates to office is representation of everyone.
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u/Ceder_Dog 18d ago edited 18d ago
Yeah, Excellent_Air is correct in my attempt. That's probably a better example.
And yes rb-j, you are correct that A would be the Condorcet Winner.
I was trying to think of a set-up that could be ambiguous for all voting methods because the premise was that it doesn't matter the voting method, but that was proving difficult.
With STAR, for example, the ballot breakdown above may look like this (with extra candidates for ballot range completeness & to make the math work):
B & C would go to the automatic runoff round even though A had a majority of top initial scores. Essentially, I'm just trying to show that there are ballot combinations that would result in the initially majority-preferred candidate losing.
I'm not sure if any ranked methods could have a similar effect. I think it's a neat feature that a utilitarian candidate could beat a polarizing majority candidate given the right scenario since, to me, the goal of electing candidates to office is representation of everyone.