2010/10/18 Kathy Dopp <[email protected]> > On Mon, Oct 18, 2010 at 7:06 PM, Jameson Quinn <[email protected]> > wrote: > > Because by simply voting (participation), you change the threshold needed > > for an absolute majority, and thus for certain kinds of wins. You cannot > do > > this by changing your vote (monotonicity). > > But Statement of Participation Criterion that you linked to says: > > Adding one or more ballots that vote X over Y should never change the > winner from X to Y. > > so failing the criteria means adding more votes having X > Y would > change the winner from X to Y. i.e. failing monotonicity. > > Kathy
This is not the definition of monotonicity. Monotonicity states that changing an existing vote from X≤Y to X>Y should not change the winner from X to Y. It says nothing about adding new X>Y votes. Clearly, the two ideas are related. However, MCA's failures of the "Combined Monotonicity and Participation Criterion" are limited to the rare "participation-type" failures, not the potentially more common "monotonicity-type" failures. (This goes for all stated versions of MCA) JQ
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