Approval Sorted Margins: Difference between revisions

A sort that works from the top down or bottom up, like Bubble or Sink, will not enjoy this kind of symmetry.

 

 

If alternative A moves up relative to some other alternative, either pairwise or in approval, while none of the other alternatives move up or down relative to each other, then alternative A will move up (if at all) in the final order.

 

This method, like any approval seeded pairwise swap sorted method, is also clone independent. This is because (true) clones are seeded near each other by approval, and any alternative outside of a clone set will either pairwise defeat all of the members of the clone set or none of them. In other words, if it gets past one of them, it will make it past all of them, so that the clones will be together in the final order.