[EM] Re: simulating an Approval campaign/election
Rob LeGrand
honky1998 at yahoo.com
Wed Feb 2 14:45:57 PST 2005
Forest wrote:
> Actually, DSV with Strategy A can sometimes converge to a stable
> equilibrium even when there is no Condorcet Winner:
>
> 4900 C
> 2400 B
> 2700 A>B
You're right. I forgot to disclose my assumption of strict
preferences. A better way to say what I meant: When for every
candidate X there is another candidate Y that is strictly preferred
by a majority of voters to candidate X, there is no equilibrium
under Approval when every voter uses strategy A. Also, I forgot to
mention that the results of my example election under the different
DSV modes assume that all voters use strategy A.
> [In my opinion this is unfortunate, since it would be better to
> have B and C win with about equal probability in this example.]
Why, do you think? Candidate A can't win under Approval no matter
what (unless some voters are completely irrational), so the A-first
voters have strong motivation to approve B. Plus, a majority
strictly prefers B to C.
=====
Rob LeGrand, psephologist
rob at approvalvoting.org
Citizens for Approval Voting
http://www.approvalvoting.org/
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