12 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 Votes746FirstABSecondThirdBBAAIf B drops out, is the irrelevant alternatives criterion satisfied?NoYesoo

Given problem Given that Given 7 4 6 A B C B C B C A A Number of first place votes…

Answered: Suppose that the plurality method is…

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 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
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?
Use the following preference table to the problem. Number of Votes 1500 1000 1000 First Choice A В C Second Choice B A Third Choice C C A Determine the winner using the plurality method.
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?
Suppose that the plurality with elimination method is used on the following preference table. If the 4 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 7 10 4 12 First A B A Second в A Third A. в Is the monotonicity criterion satisfied? No Yes
Use the preference table to answer the question. The preference table shows the results of an election among three candidates, A, B, and C. 1188 Number of votes 7 First Choice A Second Choice B C Third Choice C (a) Using the plurality method, who is the winner? (b) Is the head-to head criterion satisfied? A; yes B; no B; yes A; no
2. The following is the preference table from a science club election where the candidates are Arrow (A), Bennett (B), Candice (C), and Danny (D). Number of Voters 1st choice 2nd choice 3rd choice 4th choice 42 A D B C 23 B A C D Top Two Runoff Pairwise Comparison a. Plurality Method b. Plurality with Elimination Method c. Borda Count d. e. 35 C D B A 28 A B D C Determine the winner of the election using the indicated method. Show your detailed solutions. 14 D A C B
O K Before a conference, a panel of participants voted on the topic for the keynote address. The choices were (G)lobal Warming, (E)conomy, (F)oreign Policy, (P)overty, and (T)echnology. The votes are summarized in the preference table shown at right. What topic is selected using the plurality-with-elimination method? Select the winner below. O Technology 000 Global Warming Poverty Foreign Policy O Economy Number of Votes 1st 2nd 3rd 4th 5th 15 G E F co -Twat oo 3PTEEG CHEL F E P 13 5 2 E F P T P T T P G F E G G
Candidates A, B, C, and D are competing to win an award. There are 5 voters in this election. The chart below shows the preference schedule. Voter 1 A 1st choice. 2nd choice B 3rd choice C 4th choice D Voter 2 B C D A Voter 3 C B D A Voter 4 D B C A Voter 5 A D с B 3. Which voting scheme could you employ in order to have C win the award? Feel free to use a voting scheme not covered in class or invent a new one.
My friends and I are trying to decide where to go on vacation this summer. Paris (P), Italy (I), or Spain (S). Below is a table of our votes: Rachel Julie Toni Pat Sam 1st Choice I P I S S 2nd Choice S I P P I 3rd Choice P S S I P Show how {P, I or S} wins using the Borda count method Show how {P, I or S} wins using the plurality-with-elimination method Show how {P, I or S} wins using the pairwise comparison method Show how {P, I or S} wins using the majority vote method
# of votes 7 5 6 1st A B C 2nd B C B 3rd C A A Suppose the plurality method was used on this table. If B drops out is the irrelevant alternative criterion satisfied? Yes or no
The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 10 4 8 First J S J c Second S J cs Third C c s J If the plurality method is used to determine the winner and Clark drops out, is the irrelevant alternatives criterion satisfied? Yes No

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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 4 6 First Second A B B B Third A A If B drops out, is the irrelevant alternatives criterion satisfied? No Yes