Use Hare System to determine the winner of the following election:Number of Voters (21)6BFirstSecondThirdFourth7ABCDACD5CBAD3DсBANow, modify the ballot on the far right (with 3 voters) so that the winner is inFirst place. Does the winning candidate still win? What can we conclude from thisabout the Hare System?

Answered: Image /qna-images/answer/9fe21721-12ff-4f91-83c9-ab85108344f8.jpg

Answered: Use Hare System to determine the winner…

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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There are 6 candidates running in a Presidential primary. After each primary, two of the candidates will withdraw, except for the last one, when the winner becomes the nominee.(a) The first primary has all 6 candidates. In how many ways could the 6 candidates finish the race?(b) The second primary will only have the top 4 finishers from the first race. How many ways could the4 candidates finish the second race?(c) The third primary only has the 2 remaining candidates. How many ways could this race finish?(d) Use your answers to parts (a)-(c) to calculate the total number of ways the primaries could play out (that is, how many different ways could the candidates win/lose in the primary)?
1. Using the method of Pairwise comparison, who is the winner? 2. Using the Borda count method, which candidate comes in second?
I I am using the HARE method, would I choose B as the winner since B has more than 50% of total votes in the 2nd round? 5 4 3 2 1 1st A B C D D 2nd B C D A B 3rd D D A B C 4th C A B C A
Consider a fictitious country Makria with four states Urbinulla, Konta, Cyclos, and Pantou. The population of each state is given in the table below. If the new constitution of country Makria calls for 28 representatives to be chosen from the four states, what are the number of representative for each state if we use Adams Method?(Hint: Use Dm = 1200 ). Makria Country State Роpulation Urbinulla 12,521 Konta 3, 879 Cyklos 8, 764 Pantou 4, 836 A Urbinulla: 11 Konta: 3 Cyklos: 8 Pantou: 4 В Urbinulla: 12 Konta: 4 Cyklos: 8 Pantou: 4 Urbinulla: 12 Konta: 3 Cyklos: 9 Pantou: 4 Urbinulla: 11 Konta: 4 Cyklos: 8 Pantou: 5
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…
PLEASE HELP How many votes were cast?How many votes are needed for a majority?Which candidate is the winner using Plurality-with-elimination?Which fairness criteria, if any, were violated by using Plurality-with-elimination?
Consider an election with three candidates with the results: (CBA) (ACB) (BAC) (BCA) 2 ,8, 7, 2 Who wins the election using the Borda count method?
A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the company's 221 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below. Shirt Jacket Male 97 16 Female 84 24 Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the employee is female and prefers a shirt? (b) What is the probability that the employee is female or prefers a shirt?
Number of voters 9 8 10 4 17 1st choice В A C A 2nd choice C 3rd choice D C A C A 4th choice A D В В Find the winner under Plurality with Elimination (Instant Runoff Voting) Winner = Enter text Imore 1
only HANDWRITTEN answer needed ( NOT TYPED)
The members of a town board are holding an election to select a company to maintain the property at the town park. The choices are: • Lucky Lawn (L), • Trawick Landscape (T), • Johnson's Lawncare (). The 15 board members ranked their choices and used the Borda count method to make their selection. What are the results using the Borda method? Does this violate the majority criterion? Number of votes 8 2 First L Second Third a Lucky Lawn = 33, no violate the majority criterion. b Trawick Landscape = 37, yes, it violates the majority criterion. C Lucky Lawn = 8 first place votes and it does not violate the majority criterion. d. Trawick Landscape = 7 first place votes and it does not violate the majority criterion. %3D O O O O
Number of voters 6 12 16 1st choice C B A D 2nd choice B A C B 3rd choice D C D A 4th choice A D B C Find number of points Candidate C receives under Pairwise Comparison (Copeland's Method) Points = Find the winner of this election under Pairwise Comparison (Copeland's Method) Winner 10 n 08

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