On Jan 17, 2009, at 4:31 PM, Juho Laatu wrote:
The mail contained quite good
definitions.
I didn't however agree with the
referenced part below. I think "sincere"
and "zero-knowledge best strategic"
ballot need not be the same. For example
in Range(0,99) my sincere ballot could
be A=50 B=51 but my best strategic vote
would be A=0 B=99. Also other methods
may have similarly small differences
between "sincere" and "zero-knowledge
best strategic" ballots.
My argument is that the Range values (as well as the Approval cutoff
point) have meaning only within the method. We know from your example
how you rank A vs B, but the actual values are uninterpreted except
within the count.
The term "sincere" is metaphorical at best, even with linear ballots.
What I'm arguing is that that metaphor breaks down with non-linear
methods, and the appropriate generalization/abstraction of a sincere
ballot is a zero-knowledge ballot.
Juho
--- On Sun, 18/1/09, Jonathan Lundell <jlund...@pobox.com> wrote:
The generalization of a "sincere" ballot then
becomes the zero-knowledge (of other voters' behavior)
ballot, although we might still want to talk about a
"sincere ordering" (that is, the sincere linear
ballot) in trying to determine a "best possible"
outcome.
----
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