A weighted voting system for voters A, B, C, D, and E is given by { 35: 29, 11, 8, 4, 2 }. The weight of voter A is 29, the weight of voter B is 11, the weight of voter C is 8, the weight of voter D is 4, and the weight of voter E is 2. Determine the (A) WINNING COALITIONS and for each winning coalitions determine the (B) CRITICAL VOTER

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A: Weighted voting:

Q: Consider the weighted voting system [9: 8, 5, 3, 1] In the coalition {P2,P3,P4P2,P3,P4} which…

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Q: . A weighted voting system for voters A, B, C, D and E is given by {36:30, 12, 9, 5, 3} . The weight…

A: Given information: Weight of voter A=30 Weight of voter B=12 Weight of voter C= 9 Weight of voter…

Q: The weighted voting systems for the voters A, B, C, ... are given in the form {q: w1, w2, W3, Wa,…

A: Number of Players = 3 The weights are , P1 = 3 , P2 = 53 , P3 = 55 Quota = 56

Q: 10. Consider the weighted voting system [5: 3, 2, 1, 1). a) Which players are critical in the…

A: Solution: From the given information, the weighted voting system is [5: 3, 2, 1, 1].

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A: So there required 14 weighted votes to win and 1 is the dictator here since he can win without…

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A: Answer:  The following groups with there weights are :

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A:

Q: In a weighted voting system with three players the winning coalitions are {P1, P2} and {P1, P2, P3}.…

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Q: determine the (a) winning coalitions; and for each winning coalition, (b) determine the critical…

A: Given data Voting System is {28: 19,6,4,2} Banzhaf power index of a voter v, symbolized by BPI(v),…

Q: determine the (a) winning coalitions; and for each winning coalition, (b) determine the critical…

A: 18) Given information Weighted Voting System is {31: 19,15,12,10} Winning coalitions. (A,B) = 19 +…

Q: determine the (a) winning coalitions; and for each winning coalition, (b) determine the critical…

A: (a) The winning coalitions are those whose weights sum to 28 or more. The other coalitions does not…

Q: 9. Consider the weighted voting system [10: 6, 5, 4, 2]. a) Below are listed all possible coalitions…

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Q: 1) options : 8,9,10,11,12 2) options: yes or no The voting profile for three voters and five…

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Q: 1. Which of the following is the critical voter for the weighted voting system below?  {18:…

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Q: list all the possible value(s) of q. 21. Using the weighted voting system [ q : 8, 3, 1] list all…

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Q: For a weighted voting system {q: 8, 3, 3, 2} with q an interger and 9 is less than or equal to q,…

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A: Given: A weighted voting system…

Q: 1.  A weighted voting system for voters A, B, C, D, and E is given by {35: 29, 11, 8, 4, 2}. The…

A: 1) according to question, a weighted voting system for voters A,B,C,D and E is given by 35: 29 , 11…

Q: The weighted voting systems for the voters A, B, C, ... are given in the form   q: w1, w2,…

A: Given dataVoting System is {86: 54,39,25,18}Banzhaf power index of a voter v, symbolized by BPI(v),…

Q: Consider the weighted voting system [15: 14, 6, 4, 1] In the sequential coalition which player is…

A: Given:[ 15 : 14,6,4,1] Sequential coalition < P1,P2,P3,P4,P1,P2,P3,P4 >

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Q: An election is held among four candidates (A, B, C, and D). Using a voting method we will call X,…

A: Given: An election is held among four candidates (A, B, C, and D). Using a voting method we will…

Q: he weighted voting systems for the voters A, B, C, ... are given in the form {g: w1, W2, W3, W4. ..,…

A: The given weighed voting system is of the form of q:P1,P2,P3=(56:3,53,55) Now finding all the…

Q: A voter who has a weight that is greater than or equal to the quota is called a dictator. In a…

A:

Q: Six candidates A, B, C, D. E, and Fcompete for a seat. There are 100 voters, and the voting profile…

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Q: 1. How many Winning Coalitions are there for the weighted voting system below? ( 15:10, 7,6]

A: Given: Create a table. Write in all the possible coalitions , the weight of each possible coalition…

Q: A voter who has a weight that is greater than or equal to the quota is called a dictator. In a…

A: The given weighted voting system is 40: 20, 13, 7, 6. Let the voters be A, B, C and D with weights…

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A: (a) The winning coalitions must secure a combined weight of at least 26.  So here A+B = 34 A+C = 28…

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Q: Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If…

A:

Q: Consider the weighted voting system [q: 10, 5, 2]. Which values of q result in a dictator (list all…

A: Consider the provided question, Given, the weighted voting system [q: 10, 5, 2] The voting system…

Q: A voter who has a weight that is greater than or equal to the quota is called a dictator. In a…

A: Solution

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A: Given: An election is held among four candidates (A, B, C, and D). Using a voting method we will…

Q: For the weighted voting system [12: 8,6,5,3]: a. List all coalitions; identify which are winning…

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Q: he voting methods requires voters to rank all candidates from the most favorable to the least…

A: In the Borda count method, the last-place candidate is given by n point, next of the last candidate…

Q: Consider the weighted voting system [5: 3, 2, 1, 1], what is the weight of the coalition formed by…

A: Given Information: Consider the given weighted voting system.     5:3,2,1,1 Weight of player 1…

Q: In the weighted voting system [8: 6, 4, 3, 2], which player is pivotal in the sequential coalition…

A: Given the weighted voting system [ 8 : 6, 4, 3, 2 ] Quota = 8 Weight of P1 = 6 Weight of P2 = 4…

Q: Consider the weighted voting system [q: 10, 5, 2]. Which values of q result in a dictator (list all…

A: Note: Dictator:A player will be a dictator if their weight is equal to or greater than the quota(q).…

Q: Consider the weighted voting system [q: 9, 5, 1]. Which values of q result in a dictator (list all…

A: Answer is mentioned below

Q: Consider the weighted voting system (25: 26, 11, 7, 4, 3}. Are there any players that are dictators,…

A: Given weighted voting system is  25:26,11,7,4,3

Q: A weighted voting system is given by [q : 5, 2, 2], where the voters are A, B, and C. List all the…

A: The weighted voting system is one where the person has more share in the power of business has more…

Q: Given the weighted voting system [q: 5, 4, 3, 2], find all values of q that would grant all players…

A: Given Information: Consider the given weighted voting system.      q:5,4,3,2   Player 1 can take the…

Q: The weighted voting systems for the voters A, B, C, ... are given in the form   q: w1, w2, w3, w4,…

A: