Suppose that the Borda count method is used on the following preference table. If B drops out, is the irrelevant alternativescriterion 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.CTUBA3BACBGAC6Number of votes9 87FirstSecondThird

The given number of votes for the candidates A, B, and C are as follows:Number of votes987First…

Answered: 7 TCBA 8BAC SACB Suppose that the Borda…

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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Refer to the following preference schedule to answer parts (a) – (i). a. How many votes were cast? _________ b. How many votes are needed to receive a majority? ________ c. Find the plurality winner: _________Show work to support the selection process. d. Did the plurality winner also receive a majority? _________. e. Find the winner by a single runoff of the top two candidates: ________Show work to support the selection process below. f. Find the winner by a sequential runoff: ________Show work to support the selection process. g. Find the winner by a Borda count: ________Show work to support the selection process. h. Find the winner, if any, by the method of pairwise comparisons: ________Show work to support the selection process i. From the results of (a)-(h) is there a clear winner? Explain.
13
13. Use the following preference schedule to answer the following question: Using plurality-with-elimination, who was eliminated 1st?
Using the preference schedule below, who would win the method of Pairwise Comparison is used? No. of voters 14 10 8. 4 1 1st choice Abby Ced Dora Ben Ced 2nd choice Ben Ben Ced Dora Dora 3rd choice Ced Dora Ben Ced Ben 4th choice Dora Abby Abby Abby Abby O a. Dora O b. Abby Ос. Ced O d. Ben
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.
For an election with four candidates (A, B, C, D) consider the following preference table: NUMBER OF VOTERS 6. 1st Choice A C 2nd Choice В A C A 3rd Choice A 4th Choice C В Using the majority method, which candidate wins the election? 8 5.
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Given the following preference table, the Majority Rules method winner is RANKING 15 12 8 11 1st Q T R Q 2nd Q R 3rd R R Q R 4th
only HANDWRITTEN answer needed ( NOT TYPED)
i need c for number 6
Candidates A, B, C, and D are competing to win an award. There are 5 voters in this election. The chart below shows the preference schedule. Voter 1 1st choice. A 2nd choice B 3rd choice C 4th choice D Voter 2 Voter 3 B C C B D D A A Voter 4 D B C A Voter 5 A D C B 8. Consider the following fairness criterion: If a majority of the voters have candidate X ranked last, then candidate X should not be a winner of the election. (a) Give an example to show that the plurality method violates this criterion. (b) Give an example to show that the plurality with elimination method violates this crite- rion.

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