Question 9.41

11. Condorcet’s method can be used to create a new voting system that operates in a manner similar to the Hare system in that it involves repeatedly deleting candidates that are “least preferred.” But now we use Condorcet’s method to decide what least preferred means, and we do this in the following clever kind of way. We tip the ballots upside-down and we look for a Condorcet winner from these inverted ballots. Intuitively, a candidate that wins when all the ballots are reversed is “least preferred,” according to the original ballots. So this new system works by tipping the ballots upside-down and then repeatedly deleting a Condorcet winner, if there is one. Use this new system to find the winner for the following ballots:

Voter 1 Voter 2 Voter 3 Voter 4 Voter 5
First
choice
Second
choice
Third
choice
Fourth
choice

11.

is the winner.