12 Suppose that the pairwise comparison method is used on the following preference table. If A, C, and E drop out, is the Number of votesirrelevant alternatives criterion satisfied? Explain.444FirstВВAESecondADDThirdFourthEBEAEAFifthACChoose the correct answer below.O A. Yes. Candidate B wins the first election. If candidates A, C, and E drop out, candidate B still wins the second election.O B. No. Candidate B wins the first election. If candidates A, C, and E drop out, candidate D wins the second election.O C. No. Candidate D wins the first election. If candidates A, C, and E drop out, candidate B wins the second election.O D. Yes. Candidate D wins the first election. If candidates A, C, and E drop out, candidate D still wins the second election.

Here given no. of votes according to choice, we have to select the winner by pairwise comparison.

Answered: Suppose that the pairwise comparison…

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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Suppose that the plurality with elimination method is used on the following preference table. If the 5 voters who voted A, C, B, in that order, change their votes to C, A, B, determine if the monotonicity criterion satisfied. Number of Votes 2 4 5 11 First A B A C Second B C C A Third C A B B Is the monotonicity criterion satisfied?
Suppose that the plurality method is used on the following preference table. If B drops out, determine if the irrelevant alternatives criterion satisfied. Number of Votes 7 3 6 First A B C Second B C B Third C A A If B drops out, is the irrelevant alternatives criterion satisfied? No or Yes
2. A fraternity votes to choose a service project--visiting nursing homes, reading with children in elementary schools, or cleaning up a stretch of highway. Their preference rankings are as follows: Number of Voters 3 1 4 8 2 Visiting nursing homes 1 1 2 3 2 Reading with children 2 3 1 1 3 Cleaning highway 3 2 3 2 1 Is there a Condorcet winner? If there is no Condorcet winner, is there a Weak Condorcet winner? Show the work you do in deciding, including vote totals, and state your conclusion.
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Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according to the following preference table. Number of Votes 5 7 4 7 5 6 8 First A H F A A H F Second H S S F H F S Third F A H S S S A Fourth S F A H F A H Determine the winner using the plurality method and if the winner received a majority of first place votes. A. Hawaii; No B. Hawaii; Yes C. Alaska; Yes D. Alaska; No
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Twenty−one members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows. Number of Votes 8 2 7 4 First H V G G Second V G H V Third G H V H ..... Another way to determine the winner if the plurality with elimination method is used is to eliminate the candidate with the most last-place votes at each step. Using the preference table given to the left, determine the winner if the plurality with elimination method is used and the candidate with the most last-place votes is eliminated at each step. Choose the correct answer below. A. Greenburg B. Vazquez C. Haskins D. There is no winner. There is a tie between Haskins and Vazquez. E. There is no winner. There is a three-way tie.
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