Answered: Refer to the weighted voting system…

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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1. Using the method of Pairwise comparison, who is the winner? 2. Using the Borda count method, which candidate comes in second?
For the weighted voting system [12: 8,6,5,3]: a. List all coalitions; identify which are winning coalitions. b. Determine the critical players in each winning coalition. Determine the Banzhaf power distribution for the system. C.
A newly established country has 4 states, A, B, C, and D. Their populations are in the table. The states share 120 representatives. The governors of these states agree that the seats should be apportioned using Adam’s method of apportionment. What is the sum of the first upper quota for the four states?
i) A public opinion surveyed a simple random sample of 1000 voters. Respondents were classified by gender (male or female) and by voting preference (Average, Good, or Excellent). Results are shown in the contingency Table 4 below. Voting Preferences Total Average Good Excellent Male 210 120 70 400 Female 200 350 50 600 Total 410 470 120 1000 Make a clustered bar chart to show all the possibilities of voting preferences when gender is known. NOTE: DO NOT SOLVE ON EXCEL AND CLASSIFY EACH STEPS
Who wins by plurality? A BBM (B) LENI C MANNY D) No winner Number of Votes 1st Rank 2nd Rank 3rd Rank 14 BBM LENI MANNY 12 LENI MANNY BBM 8 BBM LENI MANNY 10 MANNY LENI BBM ...
PLEASE HELP How many votes were cast?How many votes are needed for a majority?Which candidate is the winner using Plurality-with-elimination?Which fairness criteria, if any, were violated by using Plurality-with-elimination?
Consider the weighted voting system [5: 3, 2, 1, 1], what is the weight of the coalition formed by P1 and P2? 5 3 7 4
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.
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. |
There is a reunion of 25 years being held for old classmates. The large group is trying to pick who will play at the reunion for them. Their options are Reo (R), Boston (B), Journey (J), and Fleet (F). 1. Who is picked if Borda Count is used? 2. Who gets picked if Pairwise comparison is used? 3. If plurality method is used, who gets picked?
Who is the winner using the Hare system of voting? Number of Votes 14 1st Rank BBM 2nd Rank LENI 3rd Rank MANNY (A) MANNY (B) BBM LENI D) No winner 12 LENI MANNY BBM 8 BBM LENI MANNY 8 MANNY LENI BBM
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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Refer to the weighted voting system [15: 9, 8, 7], and the Shapley-Shubik definition of power. The number of sequential coalitions is Group of answer choices 30 25 24 5 6