8. Consider an 11-member committee that must choose one of three alternatives: X, Y, or 2. Their schedule of preferences is shown below. If the Hare system is used, alternative X wins. Could the voters who most prefer Z vote insincerely in some way to change the outcome in a way that would benefit them? Number of Voters 5 4. 2. First choice Second choice Third choice Y Y Z X A. Yes, switch ranking of X and Y. B. Yes, switch ranking of Y and Z. C. Yes, switch ranking of X and Z. D. No, X would always win. 9. In the preference schedule below, which columns give Candidate A 2 Borda points per vote (assuming 3 points for first choice, 2 points for second choice, and 1 point for third choice)? Columns are numbered 1-6 from left to right. ? ? C. BC ast A|AB 2nd BC ACA B CBCA BA A. Columns 1 and 2 B. Columns 3 and 4 C. Columns 3 and 5 D. Columns 4 and 6 E. Columns 4 and 6
8. Consider an 11-member committee that must choose one of three alternatives: X, Y, or 2. Their schedule of preferences is shown below. If the Hare system is used, alternative X wins. Could the voters who most prefer Z vote insincerely in some way to change the outcome in a way that would benefit them? Number of Voters 5 4. 2. First choice Second choice Third choice Y Y Z X A. Yes, switch ranking of X and Y. B. Yes, switch ranking of Y and Z. C. Yes, switch ranking of X and Z. D. No, X would always win. 9. In the preference schedule below, which columns give Candidate A 2 Borda points per vote (assuming 3 points for first choice, 2 points for second choice, and 1 point for third choice)? Columns are numbered 1-6 from left to right. ? ? C. BC ast A|AB 2nd BC ACA B CBCA BA A. Columns 1 and 2 B. Columns 3 and 4 C. Columns 3 and 5 D. Columns 4 and 6 E. Columns 4 and 6
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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I only need help on question 9
Transcribed Image Text:8. Consider an 11-member committee that must choose one of three alternatives: X, Y, or
Z. Their schedule of preferences is shown below. If the Hare system is used, alternative X wins.
Could the voters who most prefer Z vote insincerely in some way to change the outcome in a
way that would benefit them?
Number of Voters
4.
First choice
Second choice
Third choice
X
A. Yes, switch ranking of X and Y.
B. Yes, switch ranking of Y and Z.
C. Yes, switch ranking of X and Z.
D. No, X would always win.
9. In the preference schedule below, which columns give Candidate A 2 Borda points per vote
(assuming 3 points for first choice, 2 points for second choice, and 1 point for third choice)? Columns are
numbered 1-6 from left to right.
B.
B.
C.
A.
C.
B.
A.
A.
B.
CA B
C.
C.
8 pu7
A
C.
A. Columns 1 and 2
B. Columns 3 and 4
C. Columns 3 and 5
D. Columns 4 and 6
E. Columns 4 and 6
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