[EM] RE : D2MAC can be much more efficient than Range Voting (corrected)
stepjak at yahoo.fr
Wed Mar 7 14:40:34 PST 2007
--- Warren Smith <wds at math.temple.edu> a écrit :
> > Recall that in D2MAC you specify a favourite and as many "also
> > options as you want. Then two ballots are drawn and the winner is the
> > most approved option amoung those that are approved on both ballots
> > (if such an option exists), or else the favourite option of the first
> > ballot.
> > If voters are sincere, the result will be this:
> > 55%: favourite A, also approved C
> > 45%: favourite B, also approved C
> > Winner: C
> And you answered:
> > --WDS correction: actually, it appears to me that the winner is
> > A with probability 30.25%
> > B with probability 20.25%
> > C with probability 49.50%
> > with social average utility = 7.03
> That's definitely wrong: No matter what two ballots are drawn, both
> approve of C
> and C is the most approved option. Hence C is elected with certainty.
> --WDS: Huh?
> So suppose both ballots are "favorite A, also approved C."
> Are you claiming C wins with certainty???
That's quite obvious from the definition isn't it?
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