Coalition and Critical PlayersSolve the following problem.Consider the weighted voting system [75: 50, 46, 35, 20, 3]1. What is the smallest quota?Look at the following different coalitions. Determine if any player is critical. If any player iscritical, explain why they are critical.2. {pl, p2} or [50, 46].Write your response below:3. {pl, p3, p5} or [50, 35, 4].Write your response below:

Consider the weighted voting system 75:50, 46, 35, 20, 3.

Answered: Consider the weighted voting system…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 40E: Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary,...

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Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer need to be filled. In how many different ways can the offices be filled?
Coalition and Critical Players Solve the following problem. Consider the weighted voting system [75: 50, 46, 35, 20, 3] 1. What is the smallest quota? Look at the following different coalitions. Determine if any player is critical. If any player is critical, explain why they are critical. 2. {p2, p3, p4} or [46, 35, 20]. Write your response below: 3. {p1, р 2, р3, р4} or [50, 46, 35, 20]. Write your response below:
Solve the following problem. Consider the weighted voting system [75: 50, 46, 35, 20, 3] 1. What is the smallest quota? Look at the following different coalitions. Determine if any player is critical. If any player is critical, explain why they are critical. 2. {p1, p2] or [50, 46]. Write your response below: + 3. (p1, p3, p5) or [50, 35, 4]. Write your response below: 4. {p2, p3, p4] or [46, 35, 20]. Write your response below:
plz explain in detail
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Determines who wins the plurality vote and who wins the rank voting or preferential voting method in the election. 1. There are 650 students in a school, and they all get to vote for the school president. There are 3 candidates: Rios, • Millie, • Charles. Each student will receive a ballot and they will rank the candidates in or of 1", 2nd, and 3rd choice. Remember on the preferential vote the winning candidate must have 1 more than half the votes. See the results of the election below. Votes 225 175 250 225 1¹ Millie Charles Rios 250 and a. The person who has the largest number of first place votes is b. The person who has the fewest number of first place votes is c. The candidate we eliminate is d. Fill in the new table. 1 Charles Millie Millie Rios Rios Charles 2rd Is there a majority of votes for a candidate now? If yes, who is that candidate, and how many the first place votes does that candidate have? f. Who won the plurality vote or single candidate voting method? Explain how…
4. Determine the winner using the plurality with elimination method. The candidate who gets eliminated is The number of votes the candidate received are: 5. What does the chart look like now? Fill in the chart below. Number of Votes 20 16 12 6 1* choice 2nd choice 3rd choice 6. Is there a majority winner? If no, who gets eliminated? 7. What does the chart look like now? Fill in the chart below. Number of Votes 20 16 12 6 1t choice | 2nd choice 8. Is there a majority winner? If so, how many votes did they receive? 9. What can you say about the head-to-head criterion? Determine whether or not the plurality with elimination method violates the head-to-head criterion. Write your response below:
Sequential Runoff Method Below are the results of an election for the congressional 4th district of Alabama. Use the sequential runoff method to determine the winner if a majority cannot be determined. Votes 35 25 39 45 1st Place 2nd Place A C B D B А В 3rd Place 4th Place В C D A D A 1. What are the results of the initial vote? Fill in the table below. Candidates 1st Place Votes А В C D 2. The amount required for a majority is 3. The candidate who gets removed is 4. What do the new look like? Fill in the tal ow. Votes 35 25 39 45 1st Place 2nd Place 3rd Place
1. Who is the winner using the Borda Count? Justify your answer. 2. Who is the winner using the plurality with elimination method? Justify your answer. 3. Who is the winner using pairwise comparison method? Justify your answer.
Please show complete solution. Answer everything. Kindly skip if you're not interested to answer them. Thank you!
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.…
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