Tie: Difference between revisions
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(Created page with "A tie is when two or more options have the same amount of something, usually the same number of votes. They appear in many different contexts in voting methods, and are usuall...") |
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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 |
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. |
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