Question 12.37
9. In Exercise 8, Candidates and receive 12 and 8 delegates, respectively. When all the supporters of vote for instead, ends up with 20 delegates. Will it always be the case that, if the votes for the two candidates are combined, the sum of the delegate counts for two candidates is the same as the delegates received? Try constructing a three-candidate example in which eight delegates are awarded and the sum of the delegates awarded to and to is different from the number of delegates awarded to the combined Candidate .
9.
No, it is not always the case. Answers will vary for the last part. One such example is when , , and receive 2700, 1000, and 1000 votes, respectively, and 8 delegates are to be awarded. Candidates , , and receive 4, 2, and 2 delegates, respectively, under Hamilton’s method. If candidates and are combined, then receives 5 delegates and the combined receives 3.