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. {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:

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

Answered: Coalition and Critical Players Solve…

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?
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Determine where a family would go on vacation, if the choices are Bermuda, Mexico, and Canada, based on first preference only and using Borda Count. BMC 94, BCM 61, CMB 87, CBM 72, MBC 79, MCB 74.
Write your answer on your own sheet of paper and either scan it or take a picture of it and upload it or type your answers into a word document As we've learned, the weights of the players can be deceiving when it comes to determining the amount of power each individual player has. By manipulating the quota, one can make the balance of power be whatever one wants. We’re going to work with this weighted voting system: [q: 5, 4, 3] Determine what to use for the quota to get the indicated BPI values. In each case, explain how you determined your answer by either writing a sentence or two to explain your thought process, or show the work to find the BPIs to prove that your quota actually works. 1) BPI(P1) = 33.33% BPI(P2) = 33.33% BPI(P3) = 33.33% [All players have equal power] 2) BPI(P1) = 60% BPI(P2) = 20% BPI(P3) = 20% 3) BPI(P1) = 50% BPI(P2) = 50% BPI(P3) = 0% [P3 is a dummy]
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?
*Contemporary Mathematics*
15. The downtown business association is electing a new chairperson and decides to use approval voting. The tally is below, where each column shows the number of voters with the particular approval vote. Which candidate wins under approval voting? Number of voters 8 7 6 3425 Rick X X X Daryl X X X X XX Beth X Maggie
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. |
Alabama Paradox There are 3 states and 20 seats. In 20 years, the number of seats was increased to 21. Suppose the years are 2000 and 2020. 1.) Complete the table using Hamilton's method to apportion the 20 seats for the populations after 2000 and the 21 seats after 2020. Round all standard quotas and the divisor to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Fill in every cell. 20 seats 21 seats State Population 2000 Standard Initial Final Standard Initial Final Quotas Quotas Quotas Quotas Quotas Quotas A 5,222 В 9,677 15,821 30,720 C Total 2.) What are the two divisors? Enter your answer in the space provided below. Divisor for 20 seats: Divisor for 21 seats: 3.) Did an Alabama paradox occur? Explain your answer. Write your response below:
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?
This is the entire problem using the Hamilton voting method.
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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