2. Question (see image) Number of voters1031st choiceDABD2nd choiceBAВ3rd choiceВDВA4th choiceAADFind the winner under Plurality with Elimination (Instant Runoff Voting)Winner =

Answered: Number of voters 10 1 3 1st choice D A…

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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In a group election the top 3 are given position. If there were 8 candidates how many possible options could be given for the position of President, Vice President, and Information Officer.
Determine the number of winning coalitions in the weighted voting system [100: 50, 45, 45, 3].
Last year at a certain high school, 11 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?
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.
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 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
If 107 votes are cast, what is the smallest number of votes a winning candidate can have in a four-candidate race that is to be decided by plurality?
explain why when there are only two candidates, the four voting methods discussed give the same winner and the winner is determined by straight majority?
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?
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 }.
What is a weighted voting system?
Solve the problem using Pairwise Comparison Voting Method.

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Number of voters 10 1 3 1st choice D A B 2nd choice B A В 3rd choice В D B A 4th choice A A D Find the winner under Plurality with Elimination (Instant Runoff Voting) Winner =