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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
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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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
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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