Suppose that the Borda count method is used on the following preference table. Is the majority criterion satisfied?
Suppose that the Borda count method is used on the following preference table. Is the majority criterion satisfied?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.7: Combinations
Problem 13E
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Question
Suppose that the Borda count method is used on the following preference
table. Is the majority criterion satisfied?
Expert Solution
Step 1
According to borda count we first assign
Rank 1 - 3points
Rank 2 - 2 points
Rank 3 - 1point
Therefore Total points earned by each is
A - 4x3 + 3x1 = 15
B - 2x3 + 5x2 = 16
C - 1x3 + 2x2 + 4x1 = 11
Since B has maximum points
So B is borda count winner
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