Consider the following election with five candidates and 7 voters. Use the methods indicated below to identify the winner. First Second Third Fourth Fifth a) Plurality b) Borda Count 1 с d) Hare System CAEBA PAEC3 A 1 D D А С B shefin eri to ono vieilsa of 2007 1 CED43 С A B 1 BD B D A 112 E C c) Sequential Pairwise voting with agenda: A, B, C, D, E. 1ED 1 E D 403 A C B 1 D E ABC A 1 CAEBA с D
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- The Republic of Amador is composed of five states, A, B, C, D, and E. According to the country's constitution, the Congress will have 200 seats, divided among the five states according to their respective populations. A BCD E State Population |(in thousands) 1112 1118 1320 1515 4935 Use Hamilton's method to apportion the 200 congressional seats for state B and C. Quota for state B Quota for State C =A resort plans to apportion 50 new toboggans among the four resorts based on the number of rooms in each resort as shown below. Determine each resort's apportionment using Adams's method. Hint: Some divisor between 13 and 14 will work. Resort A B C D Total Number of rooms 99 119 150 282 650 What is each resort's apportionment using Adams's method? Resort A B C D Total Number of rooms 99 119 150 282 650 Allocated toboggans enter your response here enter your response here enter your response here enter your response here 50A 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?
- An organization, with 200 members, is about to select their president. The nominees are Alisha (A), Ben (B), Caroline (C), Dave (D), and Ellazar (E). The summary of voting are as follows: number of votes: 25 20 28 12 18 25 19 18 20 15 1st choice A A B B E E 2nd choice B E А E A 3rd choice D A E E B A D В 4th choice E E B A. A 5th choice E B A D E C B A By instant run off, determine the order of elimination from first to last. O Ben >> Caroline >> Ellazar O Caroline >> Ben >> Ellazar Ellazar >> Ben >> Caroline Ellazar >> Caroline >> BenA country with four states, A, B, C and D apportions the 70 seats in its congress using Hamilton's Method. The table below lists the population for each state and the final apportionment. Apportionment State A B C D State A Population 8000 10000 B C D 4625 7625 New census data came in this year and the 70 seats need to be reapportioned using Hamilton's Method. The table below shows the new populations for each state. New Population 8088 10670 4537 7938 A's final apportionment: B's final apportionment: C's final apportionment: 18 23 11 18 D's final apportionment: Have any paradoxes occurred? If so, which ones? Explain your answer. Population Paradox Alabama Paradox New States Paradox None of the aboveConsider a fictitious country Makria with four states Urbinulla, Konta, Cyclos, and Pantou. The population of each state is given in the table below. If the new constitution of country Makria calls for 28 representatives to be chosen from the four states, what are the number of representative for each state if we use Adams Method?(Hint: Use Dm = 1200 ). Makria Country State Роpulation Urbinulla 12,521 Konta 3, 879 Cyklos 8, 764 Pantou 4, 836 A Urbinulla: 11 Konta: 3 Cyklos: 8 Pantou: 4 В Urbinulla: 12 Konta: 4 Cyklos: 8 Pantou: 4 Urbinulla: 12 Konta: 3 Cyklos: 9 Pantou: 4 Urbinulla: 11 Konta: 4 Cyklos: 8 Pantou: 5
- 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?solve question dConsider 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. |
- Using Webster's Method, if the modified quota is 50,100 and the population for State J is 1, 646,000, then the exact number of seats to be apportioned for State J is Group of answer choices 33 34 31 32Consider the apportionment of 40 doctors for a physicians organization. The apportionment using Hamilton's method is shown in the table below. Does the Alabama paradox occur using Hamilton's method if the number of doctors is increased from 40 to 41? Clinic Patients Standard quota Lower quota Hamilton's apportionment A 492 9.09 9 9 Clinic Patients Hamilton's apportionment B 402 7.43 7 8 с 394 7.28 7 7 B 402 D 424 7.83 7 8 C 394 Complete the table below with the new apportionment for clinics A, B, C, D, and E using a standard divisor rounded to two decimal places. A E 453 492 E 453 8.37 8 8 D 424 Total 2165 40.00 38 40 D Total 2165 41There 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?