> 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.] Thanks, -- Raul
