Four candidates are running for president of their book club, which has a total of 36 members. The table below indicates the number of voters and their preferences. Determine the winner under the Condorcet method with the following rules:
a. In the first round of voting, Amy goes up against Byron. In the second round, the first-round winner goes up against Coco, and in the final round, the second-round winner goes up against Dinesh.
b. In the first round of voting, Byron goes up against Dinesh. In the second round, the first-round winner goes up against Coco, and in the final round, the second-round winner goes up against Amy.
c. In the first round of voting, Dinesh goes up against Coco. In the second round, the first-round winner goes up against Amy, and in the final round, the second-round winner goes up against Byron.
d. Based on the above three voting scenarios, is there a Condorcet winner for this election?
Number of voters and their preferences
7 14 6 9
1st Choice Amy Byron Coco Dinesh
2nd Choice Coco Dinesh Amy Amy
3rd Choice Byron Amy Dinesh Coco
4th Choice Dinesh Coco Byron Byron