MATH1180 Lecture Notes - Lecture 8: Majority Criterion, Borda Count
20 Oct 2016
School
Department
Course
Professor
Document Summary
Voters rank all the candidates and points are awarded to first choice, second, and so on. Successive rounds of elections are held with the candidate with the fewest voters dropped from the ballot each time until one candidate has a majority. Candidates are compared in pairs, with a point being awarded for the voters" preference in each pair. After all the candidates have been compared, the candidate with the most points wins. If a majority of the voters rank a candidate as their first choice, then that candidate should win the election. The purality, purality with elimination, and the pairwise comparison methods satisfy the majority criterion. *the winner has majority (over 50%) not just the most votes* The borda count method does not guarantee that a candidate with a majority always wins. If candidate x can defeat each of the other candidates in a head-to-head vote, then x is the winner of the election.
