[EM] A more typical example. How the various methods do.
Michael Ossipoff
email9648742 at gmail.com
Sat Feb 3 13:18:10 PST 2024
There are reasons why the CW is the most likely candidate to have the
highest Topcounts:
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1. The highest candidate in a ranking is ranked over more candidates.
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2. In an unskewed normal-distribution, max coincides with median. Yes,
median-crowding can spoil that, but our elections don’t have
median-crowding, because the crowding is at the phony center between Dem &
Repub. …though Bernie is probably an instance of Republocrat strategic
median-crowding.
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3. Polls confirm it.
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That’s why I propose Fav-Defeater as now my favorite autodeterrent method:
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Elect the highest Topcount (or Midcount) candidate who pairbeats the
highest Topcount candidate.
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Offensive strategy can’t affect anyone’s Topcount.
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Anyway, Chris’ example:
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46: A (the CW)
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44: B>C (burying A)
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10: C (the Bus)
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…is quite extreme, with the CW nearly being a majority-CW. I wanted
something more typical.
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So I suggest the following example as typical.
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CW is the Topcount-winner, because, as I mentioned, the CW is the most
likely Topcount-winner.
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The BF faction is larger than the Bus faction, because I didn’t want to
favor Bus.
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Given those requirements, I wanted the factions as nearly equal in size as
possible, because, that seems the center about which they’ll vary.
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Here’s my example:
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35: CW>BF
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33: BF>Bus
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32: Bus>CW
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With only one exception, all of the intended autodeterrent methods that
I’ve proposed here, including CTE(Coombs(whole)), elect BF. i.e. they fail
autodeterrence in this very typical example.
…
Failing in that example seems to definitely say something
evaluation-meaningful.
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But Fav-Defeater elects Bus, & thus succeeds in this example…directly from
its definition…which was the intent of that definition.
/…
A few methods’ choices in that example:
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DAC & DSC: CW
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Margins-Sorted Topcount: CW
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Fav-Defeater: Bus
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MinMax(wv), Schulze, & MAM (RP(wv)): Bus
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Fav-Defeater, MinMax(wv), Schulze, MAM also elect Bus in Chris’ example.
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So far then, considering the typicalness of my example, & how different
Chris’ example is, Fav-Defeater, MinMax(wv), Schulze & MAM seem the best &
most versatile ranked-methods..
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I don’t understand the motivation & justification of the double-sorting
methods such as Margins-Sorted Topcount. Neither would the would the
public, & it’s something essential for public-acceptance.
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If we dare to be optimistic, we can hope that the public will use the good
ranking methods well, & in that case the best Condorcet methods, & even
Hare, would be fine. But the voting behavior demonstrated by the many,
many people completely wedded to the protection of their precious
lesser-evil isn’t encouraging at all.
…
I used to say that we need Condorcet, to reassure the lesser-evil voters.
But it likely won’t reassure them enough. I told why, even with the best
Condorcet methods, I’d rank the Acceptables in order of winnability instead
of merit, because I regard candidate-merit as dichotomous. …Then why
wouldn’t our lesser-evil progressives, for the same reason, do the same, &
rank the Democrats over the progressives, topvoting the Dems with the most
media-promotion.
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So I don’t have confidence in the lesser-evil progressives with a
ranked-method.
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The pure Cardinal methods, Approval & Score, are the most foolproof
methods. They never give any possible incentive to not topvote Favorite. …or
any incentive to vote anyone over Favorite.
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They’re the public political voting-systems that I want for our timid
lesser-evil electorate.
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The ranked-methods are a morass.
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