Consider the following summary of election tally for MTAP - TL annual election for president with four candidates Arthur (A),Broznian (B), Curtis(C), Doradrea(D).Number of Voters:13191210First ChoiceDCAВCSecond ChoiceCВВAThird ChoiceВDCDВFourth ChoiceAADCАUsing the PAIRWISE COMPARISON VOTING METHOD, who is the elected president?DoradreaCurtis(c) ArthurBroznian

Using the pairwise comparison method, we need to find who is elected president.

Answered: Consider the following summary of…

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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10
In the upcoming election between two close candidates, a poll reports that Jonesleads Smith. For each of the following situations, how confident are you thatJones will win?a) Jones leads with 51% preference with a margin of error of +or-3%.b) Jones leads with 52% preference with a margin of error of +or-3%.c) Jones leads with 54% preference with a margin of error of +or-3%.
Question 3 Help
For an election with four candidates (A, B, C, D) consider the following preference table: NUMBER OF VOTERS 6. 1st Choice A C 2nd Choice В A C A 3rd Choice A 4th Choice C В Using the majority method, which candidate wins the election? 8 5.
Qw.17.
A team 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: No. of 5 7 7 5 6 8 Votes 1st A H A A H 2nd H 3rd A H A 4th F A H A H If the Borda Count Method, which location got the lowest Borda Score? (A Florida, 98 (B San Francisco, 95 Florida, 95 D San Francisco, 98 LL
2. Three friends decides whether to go to the night club on Friday night or not every week. The data of several votings is presented in the table. Andrey Bob Constantine | Final decision 1| yes | 2 | no 3 no 4 yes 5 yes yes yes yes yes yes no no yes no no no no yes no yes There is no more information about the voting system, the results of other polls are also unknown. Is their rule: 1) anonymous, 2) neutral, 3) monotone? Explain your answer.
Consider the weighted voting system {25: 26, 11, 7, 4, 3}. Are there any players that are dictators, or players with veto power, or dummy players? If so, identify who the players are. a Dictator(s) = Player 1, Veto Power = Player 2, Dummy Player(s) = Player 2, 3, 4, 5 b Dictator(s) = Player 1, Veto Power = nobody, Dummy Player(s) = 1, 2, 3, 4, 5 Dictator(s) = Player 1, Veto Power = Player 1, Dummy Player(s) = Player 1, 2, 3, 4, 5 %3D %3D d. Dictator(s) = Player 1, Veto Power = Player 1, Dummy Player(s) = Player 2, 3, 4, 5 %3D %3D O O O O
If Peter is preferred over Ned in a head-to-head comparison and Peter is preferred over MJ and Peter is preferred over May, then Ned should win the election. Does this satisfy the Condorcet Criterion? a. No, because it should be Peter. b. No, because it should be MJ. c. Yes, because it is an election. d. Yes, because it is a one-on-one comparison. It is sometimes called a “winner-take-all” method. a. Plurality Method b. Borda Count Method c. Pairwise Comparison d. Plurality with Elimination
Consider the weighted voting system [q: 13, 11, 10, 8, 4]. Assume that this system has no dictators and is not subject to gridlock. (a) What is the weight of the coalition formed by P,, P3, and P? (b) For what values of the quota q is the coalition formed by P,, Pa, and P, a winning coalition? (c) For what values of the quota q is the coalition formed by P,, P3, and Pa a losing coalition? (a) What is the weight of the coalition formed by P2, Pa, and P? The weight of the coalition (P2, P3, Pa) is. (b) For what values of the quota q is the coalition formed by P2, P3, and Pa a winning coalition? The coalition {P2, P3, Pa) is a winning coalition for all values of q from through . (c) For what values of the quota q is the coalition formed by P,, Pa, and P a losing coalition? The coalition {P2, P3, Pa) is a losing coalition for all values of q from through . MacBook Air F2 G00 F4 FS F9 @ #3 2$ % * 3 4 8 9. Q Y A S D K V alt option command comm ర N
2. Suppose that an employer decides to hire a new CEO using the Borda count. A panel of 35 managers, board members, and other executives rank the candidates using a preference ballot. Here is the preference schedule. 1st Place Chen Ashford Ashford 2nd Place Ashford Borge Chen 3rd Place Borge Chen Borge Voters 18 16 1 (a) Find the Borda count for each of the candidates to determine who will be hired. (b) Now forget the Borda counts and look at the number of first place votes. (c) Does any candidate have a majority of the votes? Which one? (d) Does Criterion 1 apply? Has Criterion 1 been satisfied? (e) Again, forget the Borda counts and look at the number of first place votes in pairwise comparisons. Who wins in a race between Chen and Ashford? between Chen and Borge? (f) Is there a Condorcet winner? Did the Condorcet winner win the election? (g) Does Criterion 2 apply? Has Criterion 2 been satisfied?

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