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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Suppose that the Borda count method is used on the following preference
table. Is the majority criterion satisfied?

Transcribed Image Text:Number of Votes
4.
1.
First
Second
Third
B CB
C A A
2B9
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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