4) Consider the following election with 7 voters and 4 candidates. Determine thewinner using the methods listed below:FirstSecondThirdFourth2CABDNumber of Voters (7)1C2DACCBBDABa) Plurality Votingb)Borda Countc) Hare Systemd) Sequential Pairwise with agenda: B, D, C, A.1BDAC1ADBCC

Answered: Image /qna-images/answer/65ccc38b-2c23-48d9-887d-7bcd6189fc77.jpg

Answered: 4) Consider the following election with…

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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A country with four states, A, B, C and D apportions the 70 seats in its congress using Hamilton's Method. The table below lists the population for each state and the final apportionment. Apportionment State A B C D State A Population 8000 10000 B C D 4625 7625 New census data came in this year and the 70 seats need to be reapportioned using Hamilton's Method. The table below shows the new populations for each state. New Population 8088 10670 4537 7938 A's final apportionment: B's final apportionment: C's final apportionment: 18 23 11 18 D's final apportionment: Have any paradoxes occurred? If so, which ones? Explain your answer. Population Paradox Alabama Paradox New States Paradox None of the above
The divider-chooser method is best suited for which of the following scenarios?A) Mike and Jack were given a list of errands to run by their mom. They need to divide the list between them as fairly as possible.B) Mike and Jack were given a vintage car by their parents and must decide who gets to have the car.C) Voters must choose a candidate between two candidates.D) The number of seats given to a territory in the house of representatives must bedetermined.
7
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…
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?
Suppose a six-member committee needs to select a chair from among three candidates named Li, Condie, and Kargbo. Their preference rankings are as follows: Number of Voters 1 1 2 2 Li 1 1 2 3 Condie 2 3 1 2 Kargbo 3 2 3 1 Who is the winner using Borda’s method? A) Li B) Condie C) Kargbo D) none of these
Consider the weighted voting system [q: 11, 8, 7, 5, 2] a. What is the total weight of the system? 33 b. What is the smallest value that the quota q can take? 18 c. What is the largest value that the quota q can take? 33 d. What is the weight of the coalition formed by P₁ and P3? 18 e. For what values of the quota q is the coalition formed by P₁ and P2 a winning coalition? Enter values in increasing order separated by a comma but no spaces. |
Using Webster's Method, if the modified quota is 50,100 and the population for State J is 1, 646,000, then the exact number of seats to be apportioned for State J is Group of answer choices 33 34 31 32
This is the entire problem using the Hamilton voting method.
suppose and electronics company has three divisions D digital C computers and B business products division D has 142 employees see has 84 and B has 27 assume that 12 member quality improvement counsel has membership on the council proportional to the number of employees in the three divisions a. apportion this council using Hamilton method b. now increase the councils size to 13 and then to 14 and apportion this council using Hamilton method. c. what is the first size above 12 when the Alabama paradox, occurs, and what division loses a seat when the size of the council increases.

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4) Consider the following election with 7 voters and 4 candidates. Determine the winner using the methods listed below: First Second Third Fourth a) Plurality Voting b) Borda Count c) Hare System 2 C A B D Number of Voters (7) 1 C D A B 2 D A C B 1 B D A C 1 A D B C