[EM] Manipulability stats for every tested method (plus Approval Sorted Margins)

Closed Limelike Curves closed.limelike.curves at gmail.com
Fri May 10 15:42:39 PDT 2024


>
> I do want to ask though, do you think the rate of manipulable elections
> is a good measure of the "general strategy resistance" of an electoral
> method? The resistant set certainly seems to reduce that rate, but for all
> I know that 7.5% is all turkey-elections.


On Fri, May 10, 2024 at 12:29 PM Kristofer Munsterhjelm <
km_elmet at t-online.de> wrote:

> Here are the manipulability stats that I've checked, for methods
> cardinal and ordinal. I've also added Approval Sorted Margins (or MSA),
> as I ran that test last night. As usual, asterisks mark non-poll methods.
>
> 0.937    *Range(0-5, absolute scale)
> 0.928    Approval (absolute scale)
>
> 0.710    *Range (0-10, normalized)
> 0.708    *Range(0-5, normalized)
> 0.705    Smith//Range(0-5, absolute scale)
>
> 0.698    *Borda
> 0.666    Approval (mean utility cutoff)
> 0.655    Smith//Range(0-10, absolute scale)
> 0.645    STAR
>
> 0.564    Smith//Range (0-5, normalized)
> 0.557    Smith//Range (0-10, normalized)
> 0.545    Condorcet//Borda (Black)
> 0.514    Smith//Approval (explicit, mean utility cutoff)
> 0.508    Approval Sorted Margins (mean utility cutoff)
> 0.490    Smith//Approval (implicit, mean utility cutoff)
>
> 0.480    Copeland//Borda (Ranked Robin)
> 0.443    Smith//DAC (mean utility truncation)
>
> 0.417    Plurality
> 0.412    *BTR-IRV
>
> 0.350    Baldwin
> 0.333    Raynaud (Gross Loser Elimination)
> 0.333    Schulze(wv)
> 0.332    Minmax(wv)
> 0.321    Ranked Pairs(wv)
>
> 0.075    Woodall, Schwartz-Woodall
> 0.074    RCIPE
> 0.074    IRV
> 0.074    Benham
>
> -km
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