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 11st choice. A2nd choice B3rd choice C4th choice DVoter 2 Voter 3BCCBDDAAVoter 4DBCAVoter 5ADCB8. Consider the following fairness criterion: If a majority of the voters have candidate X rankedlast, then candidate X should not be a winner of the election.(a) Give an example to show that the plurality method violates this criterion.(b) Give an example to show that the plurality with elimination method violates this crite-rion.

Given a fairness criterion: If a majority of the voters have candidate X ranked last, then candidate…

Answered: Consider the following fairness…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

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
15
20
Discuss the following problems as a cooperative effort. Seventeen people serve on a board and are considering three alternatives: A, B, and C. Here are the choices followed by vote: (ABC) = 8 (ACB) = 4 (BAC) = 3 (BCA) = 0 (CAB) = 2 (CBA) = 5 Determine the winner, if any, using the voting methods in Problems A-G. D. Majority rule E. Plurality method F. Borda Count method G. Hare Method
An election is held among four candidates (A, B, C, and D). Using a voting method we will call X, the winner of the election is candidate A. However, candidate D has more than 50% of the possible votes. Based on this information, we can say that voting method X violates the O Condorcet criterion O monotonicity criterion. O independence of irrelevant alternatives criterion. O majority criterion.
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
Give an example that illustrates why top-two IRV violates the Condorcet criterion. A. A candidate that beats all other candidates head-to-head but is not one of the top two candidates is eliminated in the first round of top-two IRV, but wins under the Condorcet criterion. B. A candidate that has the most first-place votes and last-place votes is eliminated in the first round of top-two IRV, but wins under the Condorcet criterion. C. A candidate that has the most first-place votes, but is not one of the top two candidates is eliminated in the first round of top-two IRV, but wins under the Condorcet criterion. D. A candidate that beats all other candidates head-to-head and is one of the top two candidates is eliminated in the first round of top-two IRV, but wins under the Condorcet criterion.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS