Consider an election with three candidates with the following results.(ABC) (BCA) (CBA)533(a) Is there a majority winner? If not, who is the plurality winner?O Yes, there is a majority winner.O No, there is no majority winner. A is the plurality winner.O No, there is no majority winner. B is the plurality winner.No, there is no majority winner. C is the plurality winner.(b) Who wins using the pairwise comparison method?O A is the winner.B is the winner.OC is the winner.O There is no winner.(c) Is the ordering for the choices for candidates in part (b) transitive?O YesO NoK

a) For popularity method only consider first choice option. The majority winner is to check by using…

Answered: Consider an election with three…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Similar questions

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%.
5. In a recent electrion, 72% of the voters voted to elect candidate Lopez for mayor. In the same election, 60% of the voters voted in favor of Proposition Q. 54% of the voters voted for both candidate Lopez and also voted in favor of Proposition Q. Find the propability that a randomly selected voter... a. ... voted for Lopez OR voted in favor of Proposition Q. b. ... voted for Lopez, given that they voted in favor of Proposition Q. c. ... didn't vote for Lopez nor did they vote for in favor of Proposition Q.
13. Copeland's rule is a voting system that, like Condorcet's method, looks at one-on-one contests. It, however, takes as the election winner the candidate with the best "win-loss record." Use the following ballots to show that Copeland's rule is manipulable: Election 1 a. Who is the winner of Election 1? Number of voters (4) first A A D second third fourth В fifth OBECA D OBA
Question b) how many first place votes are needed for a majority?
15
20
Suppose you play a game with a biased coin. You play each game by tossing the coin once. and . If you toss a head, you pay $10. If you toss a tail, you win $11. if you play this game many times, will you come out ahead? (i.e. will you gain extra money from playing this game?) (Be sure to use fractions in the table.)
O 100% 良区 Read the passage. Christa and Monica took the bus downtown after school to shop for soccer equlpment at thelr favorite sporting goods store. Christa needed shorts and shoes. Monica needed shorts and shin guards. They had no trouble finding the shorts and the shoes, but the store was out of shin guards. "We expect some In next week," sald the clerk. "That's not much help," sald Monica. "Our first game is this Saturday." "Let's call and see if Hooper's has shin guards," Christa sald. "If they do, we can stop there on our way home. But we should hurry, or they'll be closed before we can get there." When did these events probably happen? O 1. a weekday afternoon 2. a Sunday afternoon 3. a weekday morning 4. a Saturday morning
4-6: A small college has 10 math majors and will select three of them to receive schol- arships. In how many ways can the selections be made if (a) the scholarships are each for $500? (b) the scholarships are for $900, $500, and $250?
.(20)Use plurality, Borda and Hare methods to decide who wins: 5 4 3 2 1 1st A B C D D 2nd B C D A B 3rd D D A B C 4th C A B C A
# of Voters 19 6 36 39 1st B W P S 2nd W B W W 3rd P P B P 4th S S S B Is there a Condercet Candidate? Group of answer choices Yes No If you answered yes, to the previous question, who is the Condorcet Candidate? If you answered no, choose none here. Group of answer choices Biden Warren Sanders Buttigieg None
6) Sharron is running for Senate. She can either campaign for universal health care or for lower taxes. She would personally prefer campaigning on universal health care, and would get 50 utility for campaigning on health care and 0 utility for campaigning on taxes. However, she also wants to win the election. She gets 100 utility for winning and 0 for losing. She believes she has a 50% chance of winning if she campaigns on health care. She believes she has an 80% chance of winning if she campaigns on lower taxes. What is her expected utility of campaigning on health care? What is her expected utility of campaigning on lower taxes? Which should she choose?

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