Symmetrical IRV
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It'd be great if we could design a system where the best that voters could do (individually) is vote their wishes, without taking into account any estimate about the other voters' affinities, and there'd be no vote splitting. However, Gibbard disproved this.
Approval-ordered Llull (letter grades) [10], Score // Llull [9], Score, STAR, Approval, other rated Condorcet [8]; equal-ranked Condorcet [4]; strictly-ranked Condorcet [3]; everything else [0].
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@jack-waugh said in Symmetrical IRV:
However, Gibbard disproved this.
You keep saying this, while ignoring the fact that the degree of vulnerability matters.
Do you accept that it is a fact that if you go for a walk in the park, a tree branch can fall on you and kill you?
Do you still go for walks in parks?
It sucks when it happens, but it is generally considered a "freak occurrence":
https://nypost.com/2022/08/15/nyc-park-goer-struck-by-tree-dies-at-hospital-police-source/If you answered yes to both, you are well on your way to understanding that the best way to evaluate problems is not to simply consider the binary question of whether or not the problem exists, but that you should instead be considering the magnitude of the problem.
I believe that you can reduce the concerns that Gibbard/Arrow noted to be so small that they effectively don't exist. Any reasonable Condorcet method does this.
I'd really love to hear you actually address this, you've expressed your concern over Gibbard etc so many times, and just ignore when we point out that the degree of concern can be reduced such that it is insignificant. But it is still non-zero, which you continue to dwell on.
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@rob How can the degrees of vulnerability to Gibbard be characterized? At this point, I'm not even asking how it could be estimated of a given voting system. Just, on what sort of a scale could the result of such an estimation be placed.
Approval-ordered Llull (letter grades) [10], Score // Llull [9], Score, STAR, Approval, other rated Condorcet [8]; equal-ranked Condorcet [4]; strictly-ranked Condorcet [3]; everything else [0].
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@jack-waugh It's not "vulnerability to Gibbard." It's vulnerability to vote splitting, strategic voting, strategic nomination, irrelevant alternatives, etc. Which are all interrelated (sides of the same coin?).
Gibbard isn't a "thing" to be vulnerable to, but to the extent it is, it is a binary. There are no shades of gray, just a black and white concept. Mathematicians may approach things as binaries, since they lend themselves to proofs.
All the other things are not binaries. Worrying about binaries is a waste of time in this context. It is preventing you from seeing what is "good enough" as you continue to spin on the undeniable -- but essentially meaningless -- fact that it can never be 100% perfect.
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@rob said in Symmetrical IRV:
I believe that you can reduce the concerns that Gibbard/Arrow noted to be so small that they effectively don't exist.
On what grounds?
Why not see Score as 100% perfect?
Approval-ordered Llull (letter grades) [10], Score // Llull [9], Score, STAR, Approval, other rated Condorcet [8]; equal-ranked Condorcet [4]; strictly-ranked Condorcet [3]; everything else [0].
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@jack-waugh said in Symmetrical IRV:
Why not see Score as 100% perfect?
Is this some kind of a trick question?
If the goal is to reduce the incentive to strategically vote, Score doesn't even seem to try. It is awful in that regard. Any system that strongly rewards me for guessing how others will vote is not "perfect."
It is very subject to vote splitting, albeit somewhat differently from choose-one. But even a simple case like Nader-Gore-Bush should demonstrate that plainly. A person who scores them
Nader 5
Gore 3
Bush 0
would have most likely rated Gore as 5 if Nader hadn't been in the race. So Nader split the vote.The voter might have rated them both 5, but that is only because they have some knowledge that Gore and Bush will be front runners. Not all elections are so clear (think local elections). Also that may conflict with the voters' ideal of honesty, since it suggests that they like Gore and Nader equally, which isn't true.
Would it have split the vote in other ways, that advantaged Gore? I don't know, but I doubt it in that election.
I really don't get the appeal of Score.
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@rob said in Symmetrical IRV:
If the goal is to reduce the incentive to strategically vote
Why is this a worthwhile subgoal toward achieving the larger goal of eliminating vote splitting?
Approval-ordered Llull (letter grades) [10], Score // Llull [9], Score, STAR, Approval, other rated Condorcet [8]; equal-ranked Condorcet [4]; strictly-ranked Condorcet [3]; everything else [0].
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@jack-waugh said in Symmetrical IRV:
Why is this a worthwhile subgoal toward achieving the larger goal of eliminating vote splitting?
Are you asking this sincerely? I'm increasingly getting the impression your questions are not sincere and are just designed to increase number of posts or something.
Do you really need me to explain why strongly rewarding voters for being the best at guessing who the front runners are, is less preferable than a system that allows them to vote sincerely without spending time and effort worrying about that? (*) Do you also need me to explain why it's bad to strongly punish voters who simply feel that voting sincerely is more ethical?
Finally, do you need me to explain what I just explained, again, as to how score voting can indeed cause vote splitting when some people vote sincerely?
I will if necessary, but I'd appreciate you directly saying "this is something I really don't understand and need you to explain to me." It's really frustrating to spend my time explaining concepts that you just ignore, only to post these short questions that indicate you haven't read anything, and that, as I said, don't even seem sincere.
* in the same sense as you can walk in the park without fear of being killed by a tree branch, despite the tiny but non-zero chance of that happening
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If one park is known to contain unsound trees but another park has been maintained by competent arborists, that makes for a strong reason to choose one park over the other to walk in, especially if when I walk, I have in my backpack the future of my country and the human species.
I'm suggesting that with Score, strategic voting is not an evil and does not lead to vote splitting. Everyone can be taught the best known strategy at any given time (depending on the state of mathematical knowledge at that time), and by applying the strategy, they get equal power to the other voters. This will prevent vote splitting, because vote splitting and unequal power are intimately related.
The voters could be told that exaggerating your support for your lesser evil is not unethical, on the grounds that a vote is an exercise of political power, not the answering of an opinion poll, and so it doesn't carry a responsibility for "honesty". However, ethics requires exercising your power in a way that would tend to promote the good of the residents of the polity concerned and does not contribute to the likelihood of collective unethical behavior.
I believe that you can reduce the concerns that Gibbard/Arrow noted to be so small that they effectively don't exist.
On what grounds? Let's lay Arrow aside for the moment and concentrate on just Gibbard.
Approval-ordered Llull (letter grades) [10], Score // Llull [9], Score, STAR, Approval, other rated Condorcet [8]; equal-ranked Condorcet [4]; strictly-ranked Condorcet [3]; everything else [0].
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@jack-waugh said in Symmetrical IRV:
If one park is known to contain unsound trees but another park has been maintained by competent arborists, that makes for a strong reason to choose one park over the other to walk in, especially if when I walk, I have in my backpack the future of my country and the human species.
This is again, insincere. One, the analogy is not about the human species, it's about a person's life. It's an analogy. Do you not understand how those work? Cherry picking parts of one side of the analogy and dropping them into the other side is not a sincere argument.
Two, you are obviously intentionally missing the point of the analogy. Do you know anyone who regularly chooses the parks they visit, or the sidewalks they walk on, based on their knowledge of competent arborists? I could make 100 other analogies, all based on the assumption that in the real world, there are many cases where the risks are considered small enough to not worry about them. Every single activity you engage in entails some level of risk. Instead of trying to get the point, you just pick apart the analogy, so that you can miss the point. Do you think this approach makes this forum better?
Three, electing a "less correct" candidate one time does not threaten the human species as you suggest.
Four, you haven't shown how Score is less likely to elect the less correct candidate than, for instance, a good Condorcet compliant method. All you've done is harp on the fact that Condorcet methods cannot 100% avoid strategy in a mathematical sense, while advocating for a method for which none of this can be proven because of the way it obscures things (mostly by incentivizing strategy so strongly, so it becomes more of a psychology exercise)
Five you haven't addressed anything else I've written about the negatives of rewarding strategy, such as the extra effort required on the part of voters, or the fact that it disadvantages certain classes of voters, such as people who avoid insincere voting because it feels unethical.
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I believe that you can reduce the concerns that Gibbard... noted to be so small that they effectively don't exist.
On what grounds?
Approval-ordered Llull (letter grades) [10], Score // Llull [9], Score, STAR, Approval, other rated Condorcet [8]; equal-ranked Condorcet [4]; strictly-ranked Condorcet [3]; everything else [0].
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@jack-waugh There is a ton of information in this PhD thesis about the likelihood and severity to which different voting rules are manipulable.
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@jack-waugh The difficulty of strategically manipulating Condorcet been covered excrutiating details in numerous discussions and papers, going back decades. Don't act like this is the first time the question has been asked.
You're still doing the same annoying thing, responding with a single question, derailing the meaningful and fresh part of conversation with circular questions, while ignoring everything else.
