Tie: Difference between revisions
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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 many voting methods which pass the [[majority criterion]] in the two-candidate case; see [[Equally Weighted Vote#Notes]] for an example.
=== Probability ===
Som
me voting method criteria are/must be defined with respect to candidates having or not having positive probability rather than winning or not winning. For example, the [[plurality criterion]] can be defined either as "B must not win" or "A's probability of winning must be at least as good as B's" (see also [[w:Plurality criterion]]).
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