2) Use the Condorcet's Method to find the winner of this election.FirstSecondThirdFourth1ABCDNumber of Voters (5)1CABD1DBCA1DAсB1BADODC

There are a total of 5 voters who made their first, second, third and fourth choice in elections.…

Answered: Use the Condorcet's Method to find the…

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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Consider an election with 301 voters cast for 3 candidates. What is the smallest number of first-place votes that a candidate can receive to win by the Plurality method?
If 107 votes are cast, what is the smallest number of votes a winning candidate can have in a four-candidate race that is to be decided by plurality?
In an election with 7 candidates, how many pairwise comparisons would need to be made in the Method of Pairwise Comparisons?
There are 12 students running for three student council positions: president, Vice President, and secretary. Which of the following is the number of ways in which these three positions can be filled by 12 candidates
Voting is done in a class consisting of 30 students to determine the study tour destination. One student may choose more than one tourist destination. Based on the choice of tours, it is known that A received a total of 9 votes, B 13 votes, C 7 votes, and D 9 votes. There are several students who choose 2 destinations at once, namely: 3 students choose A and B, 1 student chooses A and C, 4 students choose C and B. Draw the voting results in a venn diagram!
Four candidates, Lito, Quennie, Kyleigh, and Irish are running for president of the studentgovernment. After the polls close, votes are tallied, and the results in the table below areobtained Candidate Lito Quennie Kyleigh IrishNumber of 314 155 1052 479Votes How many votes were cast? Using the plurality method of voting, who wins the election? Did the winner receive a majority of the votes? Why?
Find the winner under Plurality with Elimination (Instant Runoff Voting)
The students in a class get to decide on the color of the classroom. The two choices are blue and yellow. Polling shows yellow is preferred by a small majority, 53% for yellow to 47% for blue. However, before the vote is held, a new color choice is added: red. Not a lot of people like red, but there are some yellow supporters who would actually vote for red. The results of the vote are below. Blue Yellow Red 46% 44% 10% What statement below is correct about adding a third choice to the plurality vote? O a Ob Oc d Red did not win the vote, but it draws enough support away from yellow to make blue the winner, even though a majority of students preferred yellow over blue when there were two choices. Red did not win the vote, but it had no effect on drawing enough support away from yellow to make blue the winner, even though a majority of students preferred yellow over blue when there were two choices. Red did not win the vote, so because of this, yellow should win the vote over blue.…
Suppose that three candidates—Woodward, Seiple, and Porter—are running in an election that will be decided by the plurality method with a runoff between the top two finishers if none of the candidates receives a majority of the votes. The results of the first ballot (plurality) are given next. Woodward 2315 Seiple 1885 Porter 800 In a runoff election between Woodward and Seiple, what is the smallest percentage of Porter supporters that would need to vote for Seiple in order for Seiple to win the election?
Four candidates, Lito, Quennie, Kyleigh, and Irish are running for president of the student government. After the polls close, votes are tallied, and the results in the table below are obtained. Candidate Lito Quennie Kyleigh IrishNumber of Votes 314 155 1,052 479 How many votes were cast? Using the plurality method of voting, who wins the election?Did the winner receive a majority of the votes? Why?
Determine which candidate will win using the Borda count method. Rankings for Club President Franco 1 4 2 1 3 Jurdan 4 1 3 3 2 Tarshikov 3 2 4 2 1 Vansaghi 2 3 1 4 4 Number of voters: 8 12 4 3 9 Jurdan Vansaghi Franco Tarshikov
Scientific Research Corporation has offices in Boston and Chicago. The number of employees at each office is shown in the following table. There are 22 vice presidents to be apportioned between the offices. Chicago 1220 Office Boston Employees 154 (a) Use the Hamilton method to find each office's apportionment of vice presidents. Boston Chicago (b) The corporation opens an additional office in San Francisco with 145 employees and decides to have a total of 24 vice presidents. If the vice presidents are reapportioned using the Hamilton method, will the new states paradox occur? Explain. O Yes. Boston lost a vice president and Chicago gained one. O Yes. Chicago lost a vice president and Boston gained one. O Yes. Both Boston and Chicago lost a vice president. O No. Both Boston and Chicago gained a vice president. O No. The number of vice presidents in Boston and Chicago remained the same.

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Use the Condorcet's Method to find the winner of this election. First Second Third Fourth 1 A B C D Number of Voters (5) 1 C A B D 1 D B C A 1 D A C B 1 B A DC с