bucklin voting. (This method was used in the early part of the 20th century to determine

Chapter 1, Problem 70

(choose chapter or problem)

bucklin voting. (This method was used in the early part of the 20th century to determine winners of many elections for political office in the United States.) The method proceeds in rounds. Round 1: Count first-place votes only. If a candidate has a majority of the first-place votes, that candidate wins. Otherwise, go to the next round. Round 2: Count first- and second-place votes only. If there are any candidates with a majority of votes, the candidate with the most votes wins. Otherwise, go to the next round. Round 3: Count first-, second-, and third-place votes only. If there are any candidates with a majority of votes, the candidate with the most votes wins. Otherwise, go to the next round. Repeat for as many rounds as necessary. (a) Find the winner of the Math Club election using the Bucklin method. (b) Give an example that illustrates why the Bucklin method violates the Condorcet criterion. (c) Explain why the Bucklin method satisfies the monotonicity criterion