The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 10 4 8 First JS J C Second S JCS Third CCS J After some discussion and quibbling from the committee about each candidate, a second election is then held resulting in the following preference table. The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 11 38 JSJC First Second Third CCS J If the plurality with elimination method is used to determine the winner, is the monotonicity criterion satisfied? Select one: a. No b. Yes S JCS

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Author:Erwin Kreyszig
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The Mathematics Department is holding
an election for department chair. Each
member ranks the candidates from first
to third. The preference table below
shows the results of the ballots with
candidates Clark (C), Jones (J), and
Smith (S).
Number of Votes 7 10 4 8
First
JS JC
Second
S JCS
Third
CCS J
After some discussion and quibbling from
the committee about each candidate, a
second election is then held resulting in
the following preference table.
The Mathematics Department is holding
an election for department chair. Each
member ranks the candidates from first
to third. The preference table below
shows the results of the ballots with
candidates Clark (C), Jones (J), and
Smith (S).
Number of Votes 7 11
First
Second
Third
CCS J
If the plurality with elimination method is
used to determine the winner, is the
monotonicity criterion satisfied?
Select one:
a. No
b. Yes
3 8
JSJC
S JCS
Transcribed Image Text:The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 10 4 8 First JS JC Second S JCS Third CCS J After some discussion and quibbling from the committee about each candidate, a second election is then held resulting in the following preference table. The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 11 First Second Third CCS J If the plurality with elimination method is used to determine the winner, is the monotonicity criterion satisfied? Select one: a. No b. Yes 3 8 JSJC S JCS
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