Chapter 12.2, Problem 34E

One way to avoid the issue described in Exercises 32 and 33 is to have ballots turned in with only the top few candidates in order of preference, as opposed to all of the candidates. For example, suppose that eight candidates are in the running for CEO of a company, but voters list only their top three choices in order. Discuss whether or not you think this restriction has the potential to change the outcome of an election using the Borda count method or plurality-with-elimination.