Question 9.70

40. A voting system is said to satisfy the majority criterion if a candidate ranked first by a majority of the voters is always among the winners. For each of the following, either give a sentence or two explaining why the answer is “yes,” or give a collection of ballots showing that the answer is “no.”

  1. Does plurality voting satisfy the majority criterion?
  2. Does the Borda count satisfy the majority criterion?
  3. Does the Hare system satisfy the majority criterion?
  4. Does sequential pairwise voting satisfy the majority criterion?