Explain why the Borda count method satisfies the monotonicity criterion. Choose the correct answer below. A. When a voter moves a candidate down in his or her ballot, that candidate's Borda points increase. If X had the most Borda points and a voter changes his or her ballot to rank X lower, then X still has the most Borda points. B. When a voter moves a candidate up in his or her ballot, that candidate's Borda points decrease. If X had the most Borda points and a voter changes his or her ballot to rank X higher, then X still has the least Borda points. C. When a voter moves a candidate up in his or her ballot, that candidate's Borda points increase. If X had the most Borda points and a voter changes his or her ballot to rank X higher, then X still has the most Borda points. D. When a voter removes a candidate from his or her ballot, that candidate's Borda points transfer to the lowest-ranking candidate. If X had the most Borda points and a voter changes his or her ballot to remove X, then the lowest-ranking candidate now has the most Borda points.
Explain why the Borda count method satisfies the monotonicity criterion. Choose the correct answer below. A. When a voter moves a candidate down in his or her ballot, that candidate's Borda points increase. If X had the most Borda points and a voter changes his or her ballot to rank X lower, then X still has the most Borda points. B. When a voter moves a candidate up in his or her ballot, that candidate's Borda points decrease. If X had the most Borda points and a voter changes his or her ballot to rank X higher, then X still has the least Borda points. C. When a voter moves a candidate up in his or her ballot, that candidate's Borda points increase. If X had the most Borda points and a voter changes his or her ballot to rank X higher, then X still has the most Borda points. D. When a voter removes a candidate from his or her ballot, that candidate's Borda points transfer to the lowest-ranking candidate. If X had the most Borda points and a voter changes his or her ballot to remove X, then the lowest-ranking candidate now has the most Borda points.
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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Explain why the Borda count method satisfies the monotonicity criterion.
Choose the correct answer below.
When a voter moves a candidate down in his or her ballot, that candidate's Borda points increase. If X had the most Borda points and a voter changes his or her ballot to rank X lower, then X still has the most Borda points.
When a voter moves a candidate up in his or her ballot, that candidate's Borda points decrease. If X had the most Borda points and a voter changes his or her ballot to rank X higher, then X still has the least Borda points.
When a voter moves a candidate up in his or her ballot, that candidate's Borda points increase. If X had the most Borda points and a voter changes his or her ballot to rank X higher, then X still has the most Borda points.
When a voter removes a candidate from his or her ballot, that candidate's Borda points transfer to the lowest-ranking candidate. If X had the most Borda points and a voter changes his or her ballot to remove X, then the lowest-ranking candidate now has the most Borda points.
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