[EM] Quick and Clean Burial Resistant Smith, compromise
Colin Champion
colin.champion at routemaster.app
Sat Jan 15 06:04:00 PST 2022
This seems very interesting. If I understand it correctly, Daniel is
saying that when a voting method can be subverted by tactical voting in
such a way that candidate c is elected in place of the rightful winner
w, the subversion can nearly always be accomplished if all voters who
prefer c to w simultaneously compromise on c and bury w.
I'm surprised that "false cycles" don't come into it. Should I
conclude that artificially placing a candidate second hardly ever
achieves anything not achieved by compromising and burial?
CJC
On 15/01/2022 05:32, Daniel Carrera wrote:
> On Fri, Jan 14, 2022 at 6:33 AM Kristofer Munsterhjelm
> <km_elmet at t-online.de <mailto:km_elmet at t-online.de>> wrote:
>
> E.g. Smith//Plurality (Or Smith,Plurality) from the extremely easy to
> manipulate category, and Minmax from the intermediate-to-high one.
>
>
> I forgot you specifically asked about Smith//Plurality. I'm not
> familiar with the '//' notation but I'm going to guess that the rule
> is "find the Smith set and then find the plurality winner within
> that". If so, then that method is like Minimax in that it is less
> skewed toward the simplest strategies:
>
> Smith//Plurality
> - 59% susceptible
> - 89% of successful strategies are the trivial one
> - 79% of the non-trivial strategies are the "reverse" strategy and 21%
> are the JGA-style search.
>
> Minimax
> - 41% susceptible
> - 90% of successful strategies are the trivial one
> - 77% of the non-trivial strategies are the "reverse" strategy and 23%
> are the JGA-style search.
>
> Hare
> - 6.9% susceptible
> - 100% of successful strategies are the trivial one
>
> Benham
> - 4.8% susceptible
> - 98% of successful strategies are the trivial one
> - 90% of the non-trivial strategies are the "reverse" strategy and 23%
> are the JGA-style search.
>
> And I should have realized that for "Plurality" it is trivially true
> that 100% of successful strategies are trivial since only the first
> choice on the ballot matters.
>
> Cheers,
> --
> Dr. Daniel Carrera
> Postdoctoral Research Associate
> Iowa State University
>
> ----
> Election-Methods mailing list - see https://electorama.com/em for list info
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