Re: Constitutional amendment: Condorcet/Clone Proof SSD vote tallying
> you wrote (25 May 2003):
> > On the other hand, if you could show that the May 15 mechanism
> > violates monotonicity, then I'd be opposed to it.
On Sun, May 25, 2003 at 06:21:13PM +0200, Markus Schulze wrote:
> Situation 1:
> Default option: A, Quorum: 30.
> 40 ACB, 32 BAC, 28 CBA
> A:B=40:60, A:C=72:28, B:C=32:68
> Manoj's May 15 proposal would choose B.
> Situation 2:
> 3 ACB voters change their minds to CAB.
> 37 ACB, 32 BAC, 28 CBA, 03 CAB
> A:B=40:60, A:C=69:31, B:C=32:68
> Manoj's May 15 proposal would choose A.
Hmm... but A is the default option.
Are there any circumstances where monotonicity is violated and not by
the introduction of the default option in place of the option which was
ranked higher? [Or, equivalently, where ranking an option lower violates
monotonicity, and not by the elimination of the default option?]
As an aside: how do you find these cases? [I sometimes write programs to
simulate some kind of activity and search for a specific kind of anomaly
-- but that can be rather time consuming as the models and issues change.]