Suppose that the Borda count method is used on the following preference table. If A drops Number of votesout, is the irrelevant alternatives criterion satisfied? Explain.131211FirstSecondAВВCAThirdAВChoose the correct answer below.A. No; C wins by the Borda count method. If A drops out, B wins.B. No; B wins by the Borda count method. If A drops out, C wins.C. Yes; C wins by the Borda count method. If A drops out, C still wins.D. Yes; B wins by the Borda count method. If A drops out, B still wins.

Answered: Image /qna-images/answer/8735a7e6-1aa7-494b-98ae-a96d1accbc3c.jpg

Answered: Suppose that the Borda count method is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the pairwise comparison method Number of votes is used on the following preference table. If the First five voters who voted B, A, D, C, in that order, Second change their votes to A, C, B, D, is the monotonicity criterion satisfied? Explain. 8 7 6. A C C Third D В Fourth A Choose the correct answer below. O A. Yes. Candidate A wins by pairwise comparison. If the voters change their preference as described, candidate A still wins by pairwise comparison. B. Yes. Candidate C wins by pairwise comparison. If the voters change their preference as described, candidate A wins by pairwise comparison although candidate C has not lost any support. C. No. Candidate D wins by pairwise comparison. If the voters change their preference as described, candidate D still wins by pairwise comparison. D. No. Candidate A wins by pairwise comparison. If the voters change their preference as described, candidate C wins by pairwise comparison although candidate A has not lost any support. LO m <…
hree-Way Race Preference Schedule. Consider a three-way race between candidates called A, B, C. Make a preference schedule for the following results: 22 voters rank the candidates in the order (first choice to last choice) A, B, C. 20 voters rank the candidates in the order C, B, A. 16 voters rank the candidates in the order B, C, A. 8 voters rank the candidates in the order C, A, B. The answers are in the attached table.
Suppose a sample of Supernatural fans are asked to rank the characters of Castiel, Dean, and Sam. The results are presented in the preference schedule below. 15 7 12 10 6 1st Choice Dean Sam Castiel Dean Sam 2nd Choice Castiel Castiel Dean Sam Dean 3rd Choice Sam Dean Sam Castiel Castiel Under the Borda Count, 3rd choice candidates will be awarded 1 point, 2nd choice candidates will be awarded 2 points, and 1st choice candidates are awarded 3 points. Determine whether each statement below is True or False. a. In the first column, Dean wins 15 × 4 = 60 points. b. In the second column, Dean wins 7 × 1 = 7 points. c. In the last column, Dean wins 6 × 2 = 12 points. d. Castiel wins a total of 50 points. e. Sam wins a total of 86 points.
Qw.17.
Suppose that the Borda count method is used on the following preference table. If B drops out, is the irrelevant alternatives criterion satisfied? Explain. Choose the correct answer below. OA. No; C wins by the Borda count method. If B drops out, A wins. OB. Yes; A wins by the Borda count method. If B drops out, A still wins. OC. Yes; C wins by the Borda count method. If B drops out, C still wins. OD. No; A wins by the Borda count method. If B drops out, C wins. C TUBA 3BAC B GAC6 Number of votes 9 8 7 First Second Third
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2. Suppose that an employer decides to hire a new CEO using the Borda count. A panel of 35 managers, board members, and other executives rank the candidates using a preference ballot. Here is the preference schedule. 1st Place Chen Ashford Ashford 2nd Place Ashford Borge Chen 3rd Place Borge Chen Borge Voters 18 16 1 (a) Find the Borda count for each of the candidates to determine who will be hired. (b) Now forget the Borda counts and look at the number of first place votes. (c) Does any candidate have a majority of the votes? Which one? (d) Does Criterion 1 apply? Has Criterion 1 been satisfied? (e) Again, forget the Borda counts and look at the number of first place votes in pairwise comparisons. Who wins in a race between Chen and Ashford? between Chen and Borge? (f) Is there a Condorcet winner? Did the Condorcet winner win the election? (g) Does Criterion 2 apply? Has Criterion 2 been satisfied?
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