DONumber of voters 30 119 151151 173 112KC APEKAP PEK C1* ChoiceND2 Choice3rd Choice4th Choice5th ChoiceAFEGKPEAPKU1. Determine the winner of the election using the Plurality Method.Eс с2. Determine the winner of the election using the Borda Count Method.3. Determine the winner of the election using the Pairwise Comparison Method.4. Determine the winner of the election using the Plurality with Elimination Method.5. a. Explain what the head-to-head criterion states.Number of voters1* Choice2NP ChoiceREAL.b. In problem #1, which candidate did you determine to be the winner using the Plurality method? Has thead-to-head comparison criterion been violated? Why or why not? Explain clearly by showing work anstating your answer in complete sentences.c. In a school election, there were 3 candidates: Alice, Bob and George. The preference table is shown below.M @NMIC23 15 16 5ACAA CB B✓ OO File - Google Chro...DELL

Choice 30 119 151 173 112 1 A E K C A 2 P A P E K 3 E P A P P 4 C K E A E 5 K C C K C…

Answered: 1st Choice 2ND Choice 3rd Choice 4th…

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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Consider an election with 409 votesa) If there are 6 candidates, what is the smallest number of first-place votes a candidate could win with under the Plurality method? votesb) If there are 8 candidates, what is the smallest number of first-place votes a candidate could win with under the Plurality method? votes
Consider an election with 301 voters cast for 3 candidates. What is the smallest number of first-place votes that a candidate can receive to win by the Plurality method?
Given the weighted voting system [28: 10, 8, 7, 5, 4],a) What is the quota?b) Identify all voters that have veto power. (Enter the weights of these voters, separatedby commas. For example, if the 7-, 5-, and 4-weight voters have veto power, enter 7, 5, 4)
The Olympics host city is chosen from a list of candidate cities. Members of the International Olympic Committee vote to determine which city will get to host the Olympics. The city with the majority of the votes wins. If, after the first round of voting, no city obtains the absolute majority of the votes cast, as many rounds are held as necessary for a city to obtain such majority. If additional rounds are necessary, plurality with elimination is used to determine which city is to be removed from the competition. For the 2048 Winter Olympics, the first round of voting is as follows: City Number of Votes After Round 1 Oslo 29 Sapporo 38 Vancouver 36 Since no city has the absolute majority of the votes, another round of voting will be necessary. Which city should be eliminated before the next round? Group of answer choices Oslo Vancouver Sapporo
A campus club needs to elect four officers: a president, a vice president, a secretary, and a treasurer. The club has five volunteers. Rather than vote individually for each position, the club members will rank the candidates in order of preference. The votes will then be tallied using the Borda Count method. The candidate receiving the highest number of points will be president, the candidate receiving the next highest number of points is vice president, the candidate receiving the next highest number of points is secretary, and the candidate receiving the next highest number of points will be treasurer. Rankings Cynthia 4 2 5 2 3 Andrew 2 3 1 4 5 Jen 5 1 2 3 2 Hector 1 5 4 1 4 Medin 3 4 3 5 1 Number of votes: 9 12 25 24 23 For the preference schedule shown, determine who wins each position in the club. president vice president secretary treasurer
Consider the weighted voting system[q: 10,10,10,6,2,2]What is the smallest value that the quota q can take?What is the largest value that the quota q can take?What is the value of the quota if at least two-thirds of the votes are required to pass a motion?
A campus club has money left over in its budget and must spend it beforethe school year ends. The members arrive at five different possibilities, and each memberranks them in order of preference. The results are shown in the table below. 1. Using the Plurality method, how should they spend the money? 2. Use Plurality with elimination. to know how the money should be spent? 3. Using Pairwise Comparison, how should they spend the money? 4. Using the Borda count method of voting, how should the money be spent?5. In your opinion, which of the previous three methods seems most appropriate in thissituation? Why?
Refer to the weighted voting system [100: 50, 45, 45, 3]. Which player(s) are critical in the coalition {P1, P2, P3}?
Find the winners of an election with 55 voters whose preference schedule is given below using Plurality Method, Borda Count Method, Method of Pairwise Comparison, and Plurality with Elimination Method. Show the complete output and the winner of each method.
SUPPOSE THE 18 MEMBERS ON THE BOARD OF THE PROVINCE OF BATANGAS ARE SELECTED ACCORDING TO THE POPULATIONS OF THE 3 CITIES AND 2 BIG TOWNS AS SHOWN BELOW. A. USE THE HAMILTON METHOD TO DETERMINE THE NUMBER OF BOARD MEMBERS EACH CITY AND MUNICIPALITY SHOULD HAVE. B. USE THE JEFFERSON METHOD TO DETERMINE THE NUMBER OF BOARD MEMBER EACH CITY AND MUNICIPALITIES SHOULD HAVE City - Population Batangas - 2,694,335 Tanauan - 173,400 Lipa - 332,386 Lemery - 93,157 Taal - 56,327
determine the (a) winning coalitions; and for each winning coalition, (b) determine the critical voter. 1. Voters A, B, C, and D in the weighted voting system { 31: 19, 15, 12, 10 }.
One of the voting methods requires voters to rank all candidates from the most favorable to the least favorable. Each last-place vote receives 1 point, each next-to-last place vote 2 points, and so on. This voting method is called the _________ method. The candidate with the ______ is the winner.

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