Voting Preference Ballots and Preference Schedules

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Presentation transcript:

Voting Preference Ballots and Preference Schedules DM.8

Vocabulary A Preference Ballot is a ballot in which the voters are asked to rank the candidates in order of preference. This is not the most typical style of voting. A Linear Ballot is a ballot in which ties are not allowed. This is the preferred type of voting. A Preference Schedule is a way to organize the ballots by grouping together identical ballots. Usually placed in a table format. Voters’ preferences are Transitive, which is another way of saying “If they prefer A over B and B over C, then They prefer A over C.”

Preference Schedule Ex: Number of ballots that match Number of voters 5 3 1 1st A C B 2nd D 3rd 4th

Plurality Method Plurality voting is a voting system for elections with several candidates in which the candidate with the most first place votes wins. This is the most commonly used style of voting.

Example of Plurality Voting Imagine that student employees on your campus have decided to organize to win the effort to improve their salaries and working conditions. As a first step, a group of 33 students, calling themselves the Undergraduate Labor Council (ULC), have just had an election to choose their president. The result for the elections are as follows: Using the Plurality Method who is the winner of this election? What percentage of students actually voted for Carmin? Ann 10 Ben 9 Carmin 11 Doreen 3

Majority Rule Majority Rule is a voting system for elections with two candidates in which the candidate preferred by more than half the voters is the winner.

Example How many votes are needed for Majority? Who would win using the Plurality Method A, B, C, D? Why? Number of voters 5 3 1 1st A C B 2nd D 3rd 4th

Borda Count Borda Count is voting method for elections with several candidates in which points are assigned to voters’ preferences and these points are added for each candidate to determine a winner. Sports use this method often to rank teams.

Example: Assume ULC used the Borda Method to determine its president. The table provides you with the preference ballots cast in the election. Who is the winner of the election? A – Ann B – Ben C – Carmin D - Doreen Preference 6 7 5 3 9 1st C A B D 2nd 3rd 4th

Solutions Ann 93 Ben 87 Carmin 83 Doreen 76

Assignments Classwork – Pg 29-33 1,3,5, 9,11 a&b,15,17 a,b&c , 23,25 Homework – Pg 29-33 2,4,6,10,12a&b,16,18 a,b&c, 24,26