1. Consider the following preference ballots for candidates A, B, C, and D:Number of votersRankings 654 21st choice AD2nd choice BBD3rd choice DCB4th choice C A AUDсBUDCAFor each of the voting systems we have studied (plurality/first-past-the-post, two-round sys-tem, Borda count, and instant run-off/ranked choice voting), determine who would win theelection.

The objective of this question is to determine the winner of an election under four different voting…

Answered: 1. Consider the following preference…

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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An organization with branches across the Northeast is trying to decide where it should hold its annual employee picnic. Each branch ranks the locations of Augusta, ME; Boston, MA; and Erie, PA, and the following preference schedule is created: Number of Votes 36 24 19 16 13 1st Choice Erie Augusta Boston Augusta Boston 2nd Choice Augusta Erie Erie Boston Augusta 3rd Choice Boston Boston Augusta Erie Erie The organization has chosen to use the Borda Count method to determine which city they will hold their picnic in. Where will the organization’s picnic be held? Make sure to include an explanation along with your answer.
1. Number of voters 11 9 14 1st choice B A C 2nd choice C B B 3rd choice A C A Find the winner of this election under the plurality method.Winner = 2. Number of voters 7 7 6 5 7 10 1st choice B B D C C A 2nd choice A C A B D C 3rd choice D A B D B D 4th choice C D C A A B Find the winner of this election under the plurality method.Winner = 3. Number of voters 4 13 14 1st choice B C A 2nd choice C B B 3rd choice A A C Find the Condorcet Candidate, if there is one. If there is not a Condorcet Candidate, enter noneCondorcet Candidate = 4. Number of voters 13 14 18 9 1st choice D B A C 2nd choice B C D D 3rd choice C A B A 4th choice A D C B Find number of points Candidate D receives under Pairwise Comparison (Copeland's Method)Points = Find the winner of this election under Pairwise Comparison (Copeland's Method)Winner = 5. Number of voters 21 15 17 14 22 31 1st choice C D A C A B 2nd choice B A D…
Select one of the following awards for this discussion: Academy Award for Best Picture Grammy Award for Best Album Heisman Trophy Nobel Peace Prize Pulitzer Price for Fiction For the award you selected, answer the following four questions: How are the nominees selected? Who votes? What type of voting is used? Remember the methods we studied in this unit - majority, plurality, plurality with elimination, Borda count method, Pairwise comparison method. Is one of these types of voting methods used or another method? Describe the method used. Who tabulates the results?
1. Thirteen members of a dinner committee want to decide what kind of background music will be played during a meal. Their choices are easy listening, jazz, classical, and new age. Following are their preference rankings: Number of Voters Easy Listening 1 3 1 2 2 2 1 1 1 1 1 2 2 3 4 4 Jazz 3 3 1 1 3 Classical 3 2 4 4 1 1 2 New age 4 4 4 3 3 4 1 A) What option would win using the plurality method? (Show vote totals) B) top two finishers? (Show vote totals) What option would win using the plurality method with a runoff between the C) counts. (You should say if you are using Easy Borda method). Which candidate would win using the Borda method? Show the Borda
Consider the preference schedule (below) for an election. (a) Determine the winner using the plurality method. (b) Determine the winner using sequential runoff. First D A B C B Second C B A D C Third A C C A D Fourth B D D B A Votes 31 26 22 15 8
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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