Consider the weighted voting system (17: 15, 8, 4, 3}.(a) Fill in the table below. If a coalition does not win, use O for the number of critical players.Coalition(P1, P2, P3, P4}Weight Number of Critical Players{P1, P2, P3}{P1, P2, P4}{P1, P3, P4}{P2, P3, P4}(P1, P2)(P1, P3)(P1, P4}{P2, P3){P2, P4}(P3, P4}(b) Find the Banzhaf score (critical count) for each player:P1: P2:P3:P4:(c) Find the Banzhaf index for each player (please enter your answer as a fraction):P1: P2: P3: P4:

Weighted voting system : { 17: 15,8,4,3 } First write coalitions and corresponding weight by adding…

Answered: Consider the weighted voting system…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a class election with 11 students and 3 candidates, how many different vote outcomes are possible? The 3 candidates do not vote, so the vote total will be 8. Consider them to be blind ballots, so only the total count for each candidate is known.
First Profile # of Voters C>D>B>A A>B>D>C Second Profile Ranking #of Ranking A 22-member committee is selecting a site for its next meeting. The choices are City A, City B, City C, and City D. Voters 7 C>D>B>A A>B>D>C A>B>C>D C>A>D>8 6. 5 A>B>C>D 5 4 D>C>B>A 4 (a) The committee members decide to use the pairwise comparison method to select a site in a nonbinding decision. Prior to any discussion, the 22 members rank the choices according to the first voter profile above. Show that City C is selected by the pairwise comparison method in the preliminary nonbinding decision. Complete the table below to demonstrate this. City A. Pairwise Comparison Points O (Type integers or decimals.) (b) The 4 committee members with the bottom ranking in the table rearrange their ranking after listening to the discussions. The other 18 committee members stick with their original rankings of the cities. For the official vote, the 22 members rank the choices according to the second voter profile above.…
Number of voters 5 9 12 17 18 1st choice B B C D A 2nd choice C D B C D 3rd choice D A A A B 4th choice A C D B C How many votes were cast?How many votes are needed for a majority?If there is a tie for first place in any of the following election counts, enter the word "tie" (without quotes) as your response.Find the winner using the Plurality method.The winner is Find the winner under the Borda Count. Use the count that assigns 1 point to last place.The winner is Find the winner using the Pairwise Comparison method.The winner is Find the winner using the Plurality-with-elimination (Instant Runoff) method.The winner is
Solve the problem. 6) A condominium association is holding an election for president of the board of directors. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Abbott (A), Blake (B), Cleary (C), and Downs (D). Number of Votes 3 6 5 8 7 4 6 6 4 First ABAACBDC C Second CABCDDBBA B C C DAA ADD DDDB B CCAB Third Fourth If the plurality method if used to determine the winner and Downs drops out, is the irrelevant alternatives criterion satisfied?
Please do not give solution in image format thanku Consider the weighted voting system [q: 1, 4, 9, 8]. What is the value of the quota if at least two-thirds of the votes are required to pass a motion?
A group of fun-loving people have decided to play a practical joke on one of their friends, but they can't decide which friend, Alice (A), Betty (B), or Connie (C). Their preferences are: (ABC) (CBA) (BCA) 9 ,10, 4 Who wins the election using the Hare method
In the weighted voting system [8: 6, 4, 3, 2], which player is pivotal in the sequential coalition P3, P2, P4, P₁ >?
Use the Bucklin voting method to determine the winner and compare it to the plurality method. Who wins the Bucklin vote and the single candidate vote? There are 7 voters and the candidates need 4 votes to win. There are 5 candidates for the house of representatives and you have to rank them by preference. Voters A B D E F G Emilio | Hannah Richard Melissa Howard Howard Emilio Howard 1st 2nd Howard Hannah Emilio Emilio Richard Melissa 3rd Melissa Emilio Melissa Richard Richard Hannah Richard 4th Hannah Richard Emilio Howard Hannah Emilio Howard 5th Richard Melissa Howard Hannah Melissa Melissa Hannah a Bucklin method: Howard wins with 5, Plurality: There is no winner b Bucklin method: Melissa wins with 4, Plurality: There is no winner Bucklin method: Richard wins with 4, Plurality: There is no winner d. Bucklin method: Emilio wins with 5, Plurality: There is no winner O000
Consider the scenario of three candidates, A, B, and C, who are running for president of the student council. Determine the winner using the Borda count method. Number of Votes 50 65 60 First Choice ACC Second Choice BBA Third Choice CAB The winner is The winner received points.
Given the weighted voting system [q: 5, 4, 3, 2], find all values of q that would grant all players veto power. Group of answer choices 14 14, 15 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 13, 14

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