voters cast the following votes: A has 110 Borda points (55 × 2 + 35 × 0 + 10 × 0). B has 135 Borda points (55 × 1 + 35 × 2 + 10 × 1). C has 55 Borda points (55 × 0 + 35 × 1 + 10 × 2). Candidate A is the first choice of a majority of voters but candidate B wins the election. Score voting For example 100 voters cast the following votes: Candidate B would win with a total of 80 × 9 + 20 × 10 = 720 + 200 = 920 rating points, versus 800 for candidate A. Because candidate A is rated higher than candidate B by a (substantial) majority of the voters, but B is declared winner, this voting system fails to satisfy the criterion due to using additional information about the voters' opinion. Conversely, if the bloc of voters who rate A highest know they are in the majority, such as from pre-election polls, they can strategically give a maximal rating to A, a minimal rating to all others, and thereby guarantee the election of their favorite candidate. In this regard, score voting gives a majority the power to elect their favorite, but just as with approval voting, it does not force them to. STAR voting Majority judgment It is controversial how to interpret the term "prefer" in the definition of the criterion. Criterion 1 If "A is preferred" means that the voter gives a better grade to A than to every other candidate, this system can fail: A is preferred by a majority, in fact by almost all voters, but B's median is Good and A's median is only Fair. B would win. Criterion 2 If "A is preferred" means that the voter uniquely top-rates candidate A, then this system passes the criterion. A candidate who is "preferred" in this sense by a majority of the voters will always be elected. For example 100 voters cast the following votes: Candidate A would win with a median rating of Excellent, versus Good for candidate B. Thus, this voting system satisfies the criterion in that case. See also Mutual majority criterion Voting system Voting system criterion Condorcet criterion References Electoral system criteria