There are many situations in which there is a need to know not only the winner of the el...

There are many situations in which there is a need to know not only the winner of the election, but also how the other candidates ranked. Each of the methods we have studied can be extended to produce a winner and rank the other candidates for second place, third place, etc.

To use the pairwise comparison method to rank candidates, use the point totals. The candidate with the greatest point total is ranked first. The candidate with the next-largest point total is ranked second, and so on. Use this method to rank the consultants from problem 18.

Problem 18:

Returning to the situation presented in problem 5, the planning commission is going to select a consultant for a management study. Each of the seven members on the commission ranks the consultants from first to third. The results are shown in the following preference table.

a. Which consultant received the fewest first-place votes?

b. Eliminate the consultant who received the fewest first-place votes and create a new preference table.

c. Under the plurality with elimination method, which consultant is selected?