Tie: Difference between revisions

All three candidates are in a symmetrical situation, that is, one could swap their name labels and they would still be in the exact same situation as before: ranked 1st on 1 ballot, ranked 2nd on 1 ballot, and ranked 3rd on 1 ballot. These types of ties are interesting in the context of evaluating [[Condorcet cycle|Condorcet cycles]]. They also feature when discussing an [[Equally Weighted Vote]]; some voting methods which pass the "test of balance" can fail to produce an equally weighted vote when there are symmetrical ties; this includes all [[Unanimity criterion|unanimity]]-passingmany voting methods which reducepass to athe [[Majoritymajority criterion|majority vote]] in the two-candidate case:; see [[Equally Weighted Vote#Notes]] for an example.