same set of ballots, since the reversed preference order of the first voter resembles the preference order of the second, and similarly with the third and fourth. In the following the Plurality winner is determined. Plurality ballots only contain the single favorite: Result: The candidates A and B receive 1 vote each, candidate C receives a plurality of 2 votes (50%). Thus, C is elected Plurality winner. C is the Plurality winner using the normal ballots and also using the reversed ballot. Thus, Plurality fails the Reversal symmetry criterion. Note, that every voting system that satisfies the Reversal symmetry criterion, would have to lead to a tie in this example (as in every example in which the set of reversed ballots is the same as the set of normal ballots). STAR voting References Electoral system criteria