Forest,
--- "Simmons, Forest " <[EMAIL PROTECTED]> a écrit :
> I like the modified ER Bucklin Whole version that Kevin and Mike have been
> considering.
I want to say: Although it's interesting that ERBW satisfies FBC and Majority,
I think it differentiates among adjacent ranks so little that strategically,
few would be worse off using Approval.
> I have two suggestions that might make it more viable as a public proposal:
>
> 1. Keep the number of possible distinct ranks down to seven or eight, for
> ballot simplicity.
I think a problem with this is that voters then need to be able to leave slots
empty, and we clearly have a ratings method, which makes it harder to say which
properties are satisfied.
> 2. Allow a special mark "+" to be made next to the favorite candidate in the
> top slot.
>
> Call this method ER Bucklin Whole Plus or ERBWP.
>
> The plus is there so that the voters who equal rank top for strategic
> purposes can still show
> extra moral support for their favorite, and for resolving ties.
>
> In case of a tie, a random ballot is drawn. The candidate with plus next to
> his name on that
> ballot gets to pick which of the tied candidates is elected.
>
> If two candidates have plus next to their names, then a coin is flipped to
> see which of the two
> candidates gets to pick from among the tied candidates.
It would be more clone-independent if we narrowed the field down to these two
candidates, and then drew further ballots to pick between them.
> This gives voters the expressive power that the voters want, along with a
> tiny bit of extra
> instrumental power for their favorite, without destroying the FBC property of
> Kevin's ER
> Bucklin Whole.
>
> Another version that would give even more meaning to the plus: if k is the
> first round in which
> there is a candidate with more than fifty percent, then consider all
> candidates with more than
> 50% in round k as tied, and use the "plus" tie breaking method described
> above.
>
> Would this version preserve the FBC?
I can't see any problem with using Random Ballot to break Bucklin ties. For
that matter, I can't see any problem with breaking ties based on the total
number
of "plus" votes.
Kevin Venzke
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