For an election with four candidates (A, B, C, D) we have the following the following preference tableNUMBER OF6358VOTERS1st ChoiceDDAC2nd ChoiceВACA3rd ChoiceA4th ChoiceCCDВUsing the plurality method, which candidate wins the election?ОАовO D

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Answered: For an election with four candidates…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Number of voters 10 4 25 13 12 1st choice C D B A D 2nd choice A B A C C 3rd choice B A D D A 4th choice D C C B B Find the winner under Plurality with Elimination (Instant Runoff Voting)Winner =
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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 Second Third JSJ C SJC S CCS J Determine the winner using the Borda count method. Did the winner receive a majority of the first place votes using the Borda count method? Select one: a. Smith; No O b. Smith; Yes O c. Jones; No d. Clark; Yes e. Jones; Yes O f. Clark; No
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.
Number of voters 5 9 12 17 18 1st choice B B C D A 2nd choice C D B C D 3rd choice D A A A B 4th choice A C D B C How many votes were cast?How many votes are needed for a majority?If there is a tie for first place in any of the following election counts, enter the word "tie" (without quotes) as your response.Find the winner using the Plurality method.The winner is Find the winner under the Borda Count. Use the count that assigns 1 point to last place.The winner is Find the winner using the Pairwise Comparison method.The winner is Find the winner using the Plurality-with-elimination (Instant Runoff) method.The winner is
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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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For an election with four candidates (A, B, C, D) we have the following the following preference table NUMBER OE 6 8 VOTERS 1st Choice D D A C 2nd Choice B A C A 3rd Choice A D 4th Choice C D B Using the plurality method, which candidate wins the election? O A C O D