3. There are three candidates: a, b, c and 81 voters which are split into five...

Transcribed Image Text:

3. There are three candidates: a, b, c and 81 voters which are split into five groups depending on their preferences over these candidates: Number of voters (3) (30) (14) (9) (25) Top choice a a b. Second choice a a Bottom choice. b b a a) Draw the preferences by ranking the candidates by alphabetical order from left to right. Who has single-peaked preferences and who has not? b) Which candidates will be selected by majority voting? Is the outcome also a Median voter? Justify your answer. c) What is the outcome if we consider the Borda rule (count) system? What problem could arise with this voting system? 3. There are three candidates: a, b, c and 81 voters which are split into five groups depending on their preferences over these candidates: Number of voters (3) (30) (14) (9) (25) Top choice a a b. Second choice a a Bottom choice. b b a a) Draw the preferences by ranking the candidates by alphabetical order from left to right. Who has single-peaked preferences and who has not? b) Which candidates will be selected by majority voting? Is the outcome also a Median voter? Justify your answer. c) What is the outcome if we consider the Borda rule (count) system? What problem could arise with this voting system?

Answer rating: 100% (QA)

ANSWER Number of votes 3 30 14 9 25 Top choice a a b c b Second choice ... View the full answer