Statistics for Management and Economics (Book Only)
11th Edition
ISBN: 9781337296946
Author: Gerald Keller
Publisher: Cengage Learning
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Chapter 5.2, Problem 9E
To determine
Self-selected sample:
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Which of the following is true?
a. Arrow’s Impossibility Theorem states that There is no voting method that will satisfy a reasonable set of fairness criteria when there are three or candidates.
b. Gibbard-Satterthwaite's theorem states that there is a voting method is completely resistant to strategic voting.
c. None of the given choices
d. May's Theorem states that the majority method will always have a winner.
2.9. The following informal descriptions of voting methods do not represent social choice functions as we have defined them. Explain why not.(a) (Mini-quota) Any candidate with at least 25% of the votes is declareda winner.(b) (Approval voting) Every voter answers a yes-or-no question abouteach candidate: “Is she acceptable?” Whichever candidate is acceptable to the most voters is declared the winner.(c) (Copeland without ties) The winners of the Copeland method become our finalists. If there is more than one finalist, the tie is resolvedby drawing straws.(d) (Condorcet candidate) Pick the candidate who defeats each of theother candidates in a head-to-head election
What is the difference between political competition and Tiebout competition? and what are the four types of Tiebout competition? Besides, what is Arrow’s Impossibility Theorem and what are its implications for voting?
Chapter 5 Solutions
Statistics for Management and Economics (Book Only)
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- How does rational ignorance discourage voting?arrow_forwardThe United States currently uses a voting system called first past the post in elections, meaning that the candidate with the most votes wins. What are some of the problems with a first past the post system?arrow_forwardPlease no written by hand "No voting system is perfect." What does it mean by economist K. Arrow? Give a brief account on Condorcet Voting Paradox. A public school district is voting on the school budget and the resulting student-teacher ratio. A poll finds that 20 percent of the voters want a ratio of 9:1, 25 percent want a ratio of 10:1, 15 percent want a ratio of 11:1, and 40 percent want a ratio of 12:1. What outcome would you expect the district toarrow_forward
- Problem 2. The planning committee for a renewable energy trade show is trying to decide what city to hold their next show in. The votes are shown below. Numbers of Voters 9 19 11 8 1st choice Buffalo Atlanta Chicago Buffalo 2nd choice Atlanta Buffalo Buffalo Chicago 3rd choice Chicago Chicago Atlanta Atlanta How many voters voted in this election? How many votes are needed for a majority? A plurality? Find the winner under the plurality method. Find the winner under the Borda Count Method. Find the winner under the Plurality with Elimination method. Find the winner under the Pairwise Comparison Voting method.arrow_forward2) What is straight-ticket voting? How does this help candidates in down ballot races?arrow_forwardPolitical Economy Assume there are three voters: A, B and C. Voter preferences can be ranked along a left-to-right spectrum that ranges from 1-9; 1 being the most left leaning preference and 9 being the most right leaning preference. Suppose these voters will choose between candidates Smith and Jones in an upcoming election. Voter Id Preference(1-9) A 4 B 5 C 6 True/False Explain: If the median voter theorem holds, candidates Smith and Jones will either both adopt preference 5 OR one will adopt preference 4 while the other adopts preference 6. B) Suppose the electorate becomes more polarized; A moves from 4 to 1 while C moves from 6 to 9. B remains at 5. How does the median voter model predict candidates Smith and Jones will change their preference? C) Keeping the assumptions from B, how does the election result change if a tax on non-voters doubles the number of voters while preserving the distribution of preferences? D) If the tax in C induces…arrow_forward
- Political Economy Assume there are three voters: A, B and C. Voter preferences can be ranked along a left-to-right spectrum that ranges from 1-9; 1 being the most left leaning preference and 9 being the most right leaning preference. Suppose these voters will choose between candidates Smith and Jones in an upcoming election. Voter Id Preference(1-9) A 4 B 5 C 6 True/False Explain: If the median voter theorem holds, candidates Smith and Jones will either both adopt preference 5 OR one will adopt preference 4 while the other adopts preference 6. Suppose the electorate becomes more polarized; A moves from 4 to 1 while C moves from 6 to 9. B remains at 5. How does the median voter model predict candidates Smith and Jones will change their preference? Keeping the assumptions from B, how does the election result change if a tax on non-voters doubles the number of voters while preserving the distribution of preferences? If the tax in C induces 100%…arrow_forwardPolitical Economy Assume there are three voters: A, B and C. Voter preferences can be ranked along a left-to-right spectrum that ranges from 1-9; 1 being the most left leaning preference and 9 being the most right leaning preference. Suppose these voters will choose between candidates Smith and Jones in an upcoming election. Voter Id Preference(1-9) A 4 B 5 C 6 True/False Explain: If the median voter theorem holds, candidates Smith and Jones will either both adopt preference 5 OR one will adopt preference 4 while the other adopts preference 6. Suppose the electorate becomes more polarized; A moves from 4 to 1 while C moves from 6 to 9. B remains at 5. How does the median voter model predict candidates Smith and Jones will change their preference? Keeping the assumptions from B, how does the election result change if a tax on non-voters doubles the number of voters while preserving the distribution of preferences? If the tax in C induces 100%…arrow_forwardExplain the paradox of voting through reference to the accompanying table, which shows the ranking of three public goods by voters Jay, Dave, and Conan:arrow_forward
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