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 plurality with elimination method to rank candidates, the order of elimination is important.

The first candidate to be eliminated will be ranked last. The second candidate to be eliminated will be ranked second to last. This will continue until we are left with one candidate, who will be ranked first.

Use this method to rank the candidates 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?