Consider the following preference table for 12 voters who ranked 3 candidates....

Consider the following preference table for 12 voters who ranked 3 candidates.

a. What is the result under the Borda count method?

b. Suppose a variation of the Borda count method, called Nanson’s method, is used in which a standard Borda count is generated in the first round. The candidate receiving the lowest Borda count is eliminated, and the count is recalculated. These steps are repeated until one candidate is left. Who is the winner under Nanson’s method?

c. This preference table demonstrates that Nanson’s method does not always satisfy a certain criterion. Which criterion does it violate? Justify your answer.