1.17. Jones and Smith are running for public office. There are 99 voters. (a) Suppose the rules say that Jones wins if she receives 50 or more votes; otherwise Smith wins. Is this method neutral? (b) Suppose the rules say that a candidate wins if he or she receives a number of votes that is between 60 and 89. (If neither candidate gets a winning number of votes, then the election is a tie.) Is this method monotone? (c) Suppose the rules say that a candidate wins if he or she receives an odd number of votes. (If neither candidate gets a winning number of votes, then the election is a tie.) Is this method decisive? (d) Suppose that the rules say that Smith wins the election no matter what. Is this method anonymous?
1.17. Jones and Smith are running for public office. There are 99 voters. (a) Suppose the rules say that Jones wins if she receives 50 or more votes; otherwise Smith wins. Is this method neutral? (b) Suppose the rules say that a candidate wins if he or she receives a number of votes that is between 60 and 89. (If neither candidate gets a winning number of votes, then the election is a tie.) Is this method monotone? (c) Suppose the rules say that a candidate wins if he or she receives an odd number of votes. (If neither candidate gets a winning number of votes, then the election is a tie.) Is this method decisive? (d) Suppose that the rules say that Smith wins the election no matter what. Is this method anonymous?
Principles of Economics, 7th Edition (MindTap Course List)
7th Edition
ISBN:9781285165875
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
Section: Chapter Questions
Problem 7PA
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1.17. Jones and Smith are running for public office. There are 99 voters.
(a) Suppose the rules say that Jones wins if she receives 50 or more
votes; otherwise Smith wins. Is this method neutral?
(b) Suppose the rules say that a candidate wins if he or she receives
a number of votes that is between 60 and 89. (If neither candidate
gets a winning number of votes, then the election is a tie.) Is this
method monotone?
(c) Suppose the rules say that a candidate wins if he or she receives an
odd number of votes. (If neither candidate gets a winning number
of votes, then the election is a tie.) Is this method decisive?
(d) Suppose that the rules say that Smith wins the election no matter
what. Is this method anonymous?
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